Chapter 4
Listing of integrals solved by CAS which has no known antiderivatives

4.1 Test file Number [6]

Maxima

Integral number [145] \[ \int x \cos (k \csc (x)) \cot (x) \csc (x) \, dx \]

[C]   time = 0.04552 (sec), size = 240 ,normalized size = 21.82 \[ -\frac {{\left (x e^{\left (\frac {4 \, k \cos \left (2 \, x\right ) \cos \left (x\right )}{\cos \left (2 \, x\right )^{2} + \sin \left (2 \, x\right )^{2} - 2 \, \cos \left (2 \, x\right ) + 1} + \frac {4 \, k \sin \left (2 \, x\right ) \sin \left (x\right )}{\cos \left (2 \, x\right )^{2} + \sin \left (2 \, x\right )^{2} - 2 \, \cos \left (2 \, x\right ) + 1}\right )} + x e^{\left (\frac {4 \, k \cos \left (x\right )}{\cos \left (2 \, x\right )^{2} + \sin \left (2 \, x\right )^{2} - 2 \, \cos \left (2 \, x\right ) + 1}\right )}\right )} e^{\left (-\frac {2 \, k \cos \left (2 \, x\right ) \cos \left (x\right )}{\cos \left (2 \, x\right )^{2} + \sin \left (2 \, x\right )^{2} - 2 \, \cos \left (2 \, x\right ) + 1} - \frac {2 \, k \sin \left (2 \, x\right ) \sin \left (x\right )}{\cos \left (2 \, x\right )^{2} + \sin \left (2 \, x\right )^{2} - 2 \, \cos \left (2 \, x\right ) + 1} - \frac {2 \, k \cos \left (x\right )}{\cos \left (2 \, x\right )^{2} + \sin \left (2 \, x\right )^{2} - 2 \, \cos \left (2 \, x\right ) + 1}\right )} \sin \left (\frac {2 \, {\left (k \cos \left (x\right ) \sin \left (2 \, x\right ) - k \cos \left (2 \, x\right ) \sin \left (x\right ) + k \sin \left (x\right )\right )}}{\cos \left (2 \, x\right )^{2} + \sin \left (2 \, x\right )^{2} - 2 \, \cos \left (2 \, x\right ) + 1}\right )}{2 \, k} \]

[In]

integrate(x*cos(x)*cos(k/sin(x))/sin(x)^2,x, algorithm=""maxima"")

[Out]

-1/2*(x*e^(4*k*cos(2*x)*cos(x)/(cos(2*x)^2 + sin(2*x)^2 - 2*cos(2*x) + 1) + 4*k*sin(2*x)*sin(x)/(cos(2*x)^2 +
sin(2*x)^2 - 2*cos(2*x) + 1)) + x*e^(4*k*cos(x)/(cos(2*x)^2 + sin(2*x)^2 - 2*cos(2*x) + 1)))*e^(-2*k*cos(2*x)*
cos(x)/(cos(2*x)^2 + sin(2*x)^2 - 2*cos(2*x) + 1) - 2*k*sin(2*x)*sin(x)/(cos(2*x)^2 + sin(2*x)^2 - 2*cos(2*x)
+ 1) - 2*k*cos(x)/(cos(2*x)^2 + sin(2*x)^2 - 2*cos(2*x) + 1))*sin(2*(k*cos(x)*sin(2*x) - k*cos(2*x)*sin(x) + k
*sin(x))/(cos(2*x)^2 + sin(2*x)^2 - 2*cos(2*x) + 1))/k

4.2 Test file Number [106]

4.3 Test file Number [170]

Mathematica

Integral number [166] \[ \int \frac {(f x)^m \left (a+b \log \left (c x^n\right )\right )}{d+e x} \, dx \]

[B]   time = 0.230572 (sec), size = 72 ,normalized size = 3.13 \[ \frac {x (f x)^m \left (-b n \, _3F_2\left (1,1+m,1+m;2+m,2+m;-\frac {e x}{d}\right )+(1+m) \operatorname {Hypergeometric2F1}\left (1,1+m,2+m,-\frac {e x}{d}\right ) \left (a+b \log \left (c x^n\right )\right )\right )}{d (1+m)^2} \]

[In]

Integrate[((f*x)^m*(a + b*Log[c*x^n]))/(d + e*x),x]

[Out]

(x*(f*x)^m*(-(b*n*HypergeometricPFQ[{1, 1 + m, 1 + m}, {2 + m, 2 + m}, -((e*x)/d)]) + (1 + m)*Hypergeometric2F
1[1, 1 + m, 2 + m, -((e*x)/d)]*(a + b*Log[c*x^n])))/(d*(1 + m)^2)

Integral number [167] \[ \int \frac {(f x)^m \left (a+b \log \left (c x^n\right )\right )}{(d+e x)^2} \, dx \]

[B]   time = 0.210632 (sec), size = 72 ,normalized size = 3.13 \[ \frac {x (f x)^m \left (-b n \, _3F_2\left (2,1+m,1+m;2+m,2+m;-\frac {e x}{d}\right )+(1+m) \operatorname {Hypergeometric2F1}\left (2,1+m,2+m,-\frac {e x}{d}\right ) \left (a+b \log \left (c x^n\right )\right )\right )}{d^2 (1+m)^2} \]

[In]

Integrate[((f*x)^m*(a + b*Log[c*x^n]))/(d + e*x)^2,x]

[Out]

(x*(f*x)^m*(-(b*n*HypergeometricPFQ[{2, 1 + m, 1 + m}, {2 + m, 2 + m}, -((e*x)/d)]) + (1 + m)*Hypergeometric2F
1[2, 1 + m, 2 + m, -((e*x)/d)]*(a + b*Log[c*x^n])))/(d^2*(1 + m)^2)

Integral number [168] \[ \int x (a+b x)^m \log \left (c x^n\right ) \, dx \]

[B]   time = 0.280476 (sec), size = 173 ,normalized size = 11.53 \[ \frac {(a+b x)^m \left (1+\frac {b x}{a}\right )^{-m} \left (-n \left (2 a b x \left (1+\frac {b x}{a}\right )^m+b^2 x^2 \left (1+\frac {b x}{a}\right )^m+a^2 \left (-1+\left (1+\frac {b x}{a}\right )^m\right )\right )+a b (2+m) n x \, _3F_2\left (1,1,-1-m;2,2;-\frac {b x}{a}\right )+\left (a b m x \left (1+\frac {b x}{a}\right )^m+b^2 (1+m) x^2 \left (1+\frac {b x}{a}\right )^m-a^2 \left (-1+\left (1+\frac {b x}{a}\right )^m\right )\right ) \log \left (c x^n\right )\right )}{b^2 (1+m) (2+m)} \]

[In]

Integrate[x*(a + b*x)^m*Log[c*x^n],x]

[Out]

((a + b*x)^m*(-(n*(2*a*b*x*(1 + (b*x)/a)^m + b^2*x^2*(1 + (b*x)/a)^m + a^2*(-1 + (1 + (b*x)/a)^m))) + a*b*(2 +
m)*n*x*HypergeometricPFQ[{1, 1, -1 - m}, {2, 2}, -((b*x)/a)] + (a*b*m*x*(1 + (b*x)/a)^m + b^2*(1 + m)*x^2*(1
+ (b*x)/a)^m - a^2*(-1 + (1 + (b*x)/a)^m))*Log[c*x^n]))/(b^2*(1 + m)*(2 + m)*(1 + (b*x)/a)^m)

Integral number [170] \[ \int \frac {(a+b x)^m \log \left (c x^n\right )}{x} \, dx \]

[B]   time = 0.0713418 (sec), size = 89 ,normalized size = 5.24 \[ \frac {\left (1+\frac {a}{b x}\right )^{-m} (a+b x)^m \left (-n \, _3F_2\left (-m,-m,-m;1-m,1-m;-\frac {a}{b x}\right )+m \operatorname {Hypergeometric2F1}\left (-m,-m,1-m,-\frac {a}{b x}\right ) \log \left (c x^n\right )\right )}{m^2} \]

[In]

Integrate[((a + b*x)^m*Log[c*x^n])/x,x]

[Out]

((a + b*x)^m*(-(n*HypergeometricPFQ[{-m, -m, -m}, {1 - m, 1 - m}, -(a/(b*x))]) + m*Hypergeometric2F1[-m, -m, 1
- m, -(a/(b*x))]*Log[c*x^n]))/(m^2*(1 + a/(b*x))^m)

Integral number [322] \[ \int \frac {(f x)^m \left (a+b \log \left (c x^n\right )\right )}{d+e x^2} \, dx \]

[B]   time = 1.21182 (sec), size = 108 ,normalized size = 4.32 \[ \frac {x (f x)^m \left (-b n \, _3F_2\left (1,\frac {1}{2}+\frac {m}{2},\frac {1}{2}+\frac {m}{2};\frac {3}{2}+\frac {m}{2},\frac {3}{2}+\frac {m}{2};-\frac {e x^2}{d}\right )+(1+m) \operatorname {Hypergeometric2F1}\left (1,\frac {1+m}{2},\frac {3+m}{2},-\frac {e x^2}{d}\right ) \left (a+b \log \left (c x^n\right )\right )\right )}{d (1+m)^2} \]

[In]

Integrate[((f*x)^m*(a + b*Log[c*x^n]))/(d + e*x^2),x]

[Out]

(x*(f*x)^m*(-(b*n*HypergeometricPFQ[{1, 1/2 + m/2, 1/2 + m/2}, {3/2 + m/2, 3/2 + m/2}, -((e*x^2)/d)]) + (1 + m
)*Hypergeometric2F1[1, (1 + m)/2, (3 + m)/2, -((e*x^2)/d)]*(a + b*Log[c*x^n])))/(d*(1 + m)^2)

Integral number [323] \[ \int \frac {(f x)^m \left (a+b \log \left (c x^n\right )\right )}{\left (d+e x^2\right )^2} \, dx \]

[B]   time = 0.247002 (sec), size = 108 ,normalized size = 4.32 \[ \frac {x (f x)^m \left (-b n \, _3F_2\left (2,\frac {1}{2}+\frac {m}{2},\frac {1}{2}+\frac {m}{2};\frac {3}{2}+\frac {m}{2},\frac {3}{2}+\frac {m}{2};-\frac {e x^2}{d}\right )+(1+m) \operatorname {Hypergeometric2F1}\left (2,\frac {1+m}{2},\frac {3+m}{2},-\frac {e x^2}{d}\right ) \left (a+b \log \left (c x^n\right )\right )\right )}{d^2 (1+m)^2} \]

[In]

Integrate[((f*x)^m*(a + b*Log[c*x^n]))/(d + e*x^2)^2,x]

[Out]

(x*(f*x)^m*(-(b*n*HypergeometricPFQ[{2, 1/2 + m/2, 1/2 + m/2}, {3/2 + m/2, 3/2 + m/2}, -((e*x^2)/d)]) + (1 + m
)*Hypergeometric2F1[2, (1 + m)/2, (3 + m)/2, -((e*x^2)/d)]*(a + b*Log[c*x^n])))/(d^2*(1 + m)^2)

Integral number [404] \[ \int \frac {x^3 \left (a+b \log \left (c x^n\right )\right )}{d+e x^r} \, dx \]

[B]   time = 0.166816 (sec), size = 87 ,normalized size = 3.78 \[ \frac {x^4 \left (-b n \, _3F_2\left (1,\frac {4}{r},\frac {4}{r};1+\frac {4}{r},1+\frac {4}{r};-\frac {e x^r}{d}\right )+4 \operatorname {Hypergeometric2F1}\left (1,\frac {4}{r},\frac {4+r}{r},-\frac {e x^r}{d}\right ) \left (a+b \log \left (c x^n\right )\right )\right )}{16 d} \]

[In]

Integrate[(x^3*(a + b*Log[c*x^n]))/(d + e*x^r),x]

[Out]

(x^4*(-(b*n*HypergeometricPFQ[{1, 4/r, 4/r}, {1 + 4/r, 1 + 4/r}, -((e*x^r)/d)]) + 4*Hypergeometric2F1[1, 4/r,
(4 + r)/r, -((e*x^r)/d)]*(a + b*Log[c*x^n])))/(16*d)

Integral number [405] \[ \int \frac {x \left (a+b \log \left (c x^n\right )\right )}{d+e x^r} \, dx \]

[B]   time = 0.151718 (sec), size = 87 ,normalized size = 4.14 \[ \frac {x^2 \left (-b n \, _3F_2\left (1,\frac {2}{r},\frac {2}{r};1+\frac {2}{r},1+\frac {2}{r};-\frac {e x^r}{d}\right )+2 \operatorname {Hypergeometric2F1}\left (1,\frac {2}{r},\frac {2+r}{r},-\frac {e x^r}{d}\right ) \left (a+b \log \left (c x^n\right )\right )\right )}{4 d} \]

[In]

Integrate[(x*(a + b*Log[c*x^n]))/(d + e*x^r),x]

[Out]

(x^2*(-(b*n*HypergeometricPFQ[{1, 2/r, 2/r}, {1 + 2/r, 1 + 2/r}, -((e*x^r)/d)]) + 2*Hypergeometric2F1[1, 2/r,
(2 + r)/r, -((e*x^r)/d)]*(a + b*Log[c*x^n])))/(4*d)

Integral number [407] \[ \int \frac {a+b \log \left (c x^n\right )}{x^3 \left (d+e x^r\right )} \, dx \]

[B]   time = 0.174706 (sec), size = 86 ,normalized size = 3.74 \[ -\frac {b n \, _3F_2\left (1,-\frac {2}{r},-\frac {2}{r};1-\frac {2}{r},1-\frac {2}{r};-\frac {e x^r}{d}\right )+2 \operatorname {Hypergeometric2F1}\left (1,-\frac {2}{r},\frac {-2+r}{r},-\frac {e x^r}{d}\right ) \left (a+b \log \left (c x^n\right )\right )}{4 d x^2} \]

[In]

Integrate[(a + b*Log[c*x^n])/(x^3*(d + e*x^r)),x]

[Out]

-1/4*(b*n*HypergeometricPFQ[{1, -2/r, -2/r}, {1 - 2/r, 1 - 2/r}, -((e*x^r)/d)] + 2*Hypergeometric2F1[1, -2/r,
(-2 + r)/r, -((e*x^r)/d)]*(a + b*Log[c*x^n]))/(d*x^2)

Integral number [408] \[ \int \frac {x^2 \left (a+b \log \left (c x^n\right )\right )}{d+e x^r} \, dx \]

[B]   time = 0.165297 (sec), size = 87 ,normalized size = 3.78 \[ \frac {x^3 \left (-b n \, _3F_2\left (1,\frac {3}{r},\frac {3}{r};1+\frac {3}{r},1+\frac {3}{r};-\frac {e x^r}{d}\right )+3 \operatorname {Hypergeometric2F1}\left (1,\frac {3}{r},\frac {3+r}{r},-\frac {e x^r}{d}\right ) \left (a+b \log \left (c x^n\right )\right )\right )}{9 d} \]

[In]

Integrate[(x^2*(a + b*Log[c*x^n]))/(d + e*x^r),x]

[Out]

(x^3*(-(b*n*HypergeometricPFQ[{1, 3/r, 3/r}, {1 + 3/r, 1 + 3/r}, -((e*x^r)/d)]) + 3*Hypergeometric2F1[1, 3/r,
(3 + r)/r, -((e*x^r)/d)]*(a + b*Log[c*x^n])))/(9*d)

Integral number [409] \[ \int \frac {a+b \log \left (c x^n\right )}{d+e x^r} \, dx \]

[B]   time = 0.11918 (sec), size = 69 ,normalized size = 3.45 \[ \frac {x \left (-b n \, _3F_2\left (1,\frac {1}{r},\frac {1}{r};1+\frac {1}{r},1+\frac {1}{r};-\frac {e x^r}{d}\right )+\operatorname {Hypergeometric2F1}\left (1,\frac {1}{r},1+\frac {1}{r},-\frac {e x^r}{d}\right ) \left (a+b \log \left (c x^n\right )\right )\right )}{d} \]

[In]

Integrate[(a + b*Log[c*x^n])/(d + e*x^r),x]

[Out]

(x*(-(b*n*HypergeometricPFQ[{1, r^(-1), r^(-1)}, {1 + r^(-1), 1 + r^(-1)}, -((e*x^r)/d)]) + Hypergeometric2F1[
1, r^(-1), 1 + r^(-1), -((e*x^r)/d)]*(a + b*Log[c*x^n])))/d

Integral number [410] \[ \int \frac {a+b \log \left (c x^n\right )}{x^2 \left (d+e x^r\right )} \, dx \]

[B]   time = 0.154664 (sec), size = 83 ,normalized size = 3.61 \[ -\frac {b n \, _3F_2\left (1,-\frac {1}{r},-\frac {1}{r};1-\frac {1}{r},1-\frac {1}{r};-\frac {e x^r}{d}\right )+\operatorname {Hypergeometric2F1}\left (1,-\frac {1}{r},\frac {-1+r}{r},-\frac {e x^r}{d}\right ) \left (a+b \log \left (c x^n\right )\right )}{d x} \]

[In]

Integrate[(a + b*Log[c*x^n])/(x^2*(d + e*x^r)),x]

[Out]

-((b*n*HypergeometricPFQ[{1, -r^(-1), -r^(-1)}, {1 - r^(-1), 1 - r^(-1)}, -((e*x^r)/d)] + Hypergeometric2F1[1,
-r^(-1), (-1 + r)/r, -((e*x^r)/d)]*(a + b*Log[c*x^n]))/(d*x))

Integral number [411] \[ \int \frac {x^3 \left (a+b \log \left (c x^n\right )\right )}{\left (d+e x^r\right )^2} \, dx \]

[B]   time = 0.296299 (sec), size = 140 ,normalized size = 6.09 \[ \frac {x^4 \left (-b n (-4+r) \left (d+e x^r\right ) \, _3F_2\left (1,\frac {4}{r},\frac {4}{r};1+\frac {4}{r},1+\frac {4}{r};-\frac {e x^r}{d}\right )+16 d \left (a+b \log \left (c x^n\right )\right )+4 \left (d+e x^r\right ) \operatorname {Hypergeometric2F1}\left (1,\frac {4}{r},\frac {4+r}{r},-\frac {e x^r}{d}\right ) \left (-b n+a (-4+r)+b (-4+r) \log \left (c x^n\right )\right )\right )}{16 d^2 r \left (d+e x^r\right )} \]

[In]

Integrate[(x^3*(a + b*Log[c*x^n]))/(d + e*x^r)^2,x]

[Out]

(x^4*(-(b*n*(-4 + r)*(d + e*x^r)*HypergeometricPFQ[{1, 4/r, 4/r}, {1 + 4/r, 1 + 4/r}, -((e*x^r)/d)]) + 16*d*(a
+ b*Log[c*x^n]) + 4*(d + e*x^r)*Hypergeometric2F1[1, 4/r, (4 + r)/r, -((e*x^r)/d)]*(-(b*n) + a*(-4 + r) + b*(
-4 + r)*Log[c*x^n])))/(16*d^2*r*(d + e*x^r))

Integral number [412] \[ \int \frac {x \left (a+b \log \left (c x^n\right )\right )}{\left (d+e x^r\right )^2} \, dx \]

[B]   time = 0.300438 (sec), size = 140 ,normalized size = 6.67 \[ \frac {x^2 \left (-b n (-2+r) \left (d+e x^r\right ) \, _3F_2\left (1,\frac {2}{r},\frac {2}{r};1+\frac {2}{r},1+\frac {2}{r};-\frac {e x^r}{d}\right )+4 d \left (a+b \log \left (c x^n\right )\right )+2 \left (d+e x^r\right ) \operatorname {Hypergeometric2F1}\left (1,\frac {2}{r},\frac {2+r}{r},-\frac {e x^r}{d}\right ) \left (-b n+a (-2+r)+b (-2+r) \log \left (c x^n\right )\right )\right )}{4 d^2 r \left (d+e x^r\right )} \]

[In]

Integrate[(x*(a + b*Log[c*x^n]))/(d + e*x^r)^2,x]

[Out]

(x^2*(-(b*n*(-2 + r)*(d + e*x^r)*HypergeometricPFQ[{1, 2/r, 2/r}, {1 + 2/r, 1 + 2/r}, -((e*x^r)/d)]) + 4*d*(a
+ b*Log[c*x^n]) + 2*(d + e*x^r)*Hypergeometric2F1[1, 2/r, (2 + r)/r, -((e*x^r)/d)]*(-(b*n) + a*(-2 + r) + b*(-
2 + r)*Log[c*x^n])))/(4*d^2*r*(d + e*x^r))

Integral number [414] \[ \int \frac {a+b \log \left (c x^n\right )}{x^3 \left (d+e x^r\right )^2} \, dx \]

[B]   time = 0.295296 (sec), size = 139 ,normalized size = 6.04 \[ -\frac {b n (2+r) \left (d+e x^r\right ) \, _3F_2\left (1,-\frac {2}{r},-\frac {2}{r};1-\frac {2}{r},1-\frac {2}{r};-\frac {e x^r}{d}\right )-4 d \left (a+b \log \left (c x^n\right )\right )+2 \left (d+e x^r\right ) \operatorname {Hypergeometric2F1}\left (1,-\frac {2}{r},\frac {-2+r}{r},-\frac {e x^r}{d}\right ) \left (-b n+a (2+r)+b (2+r) \log \left (c x^n\right )\right )}{4 d^2 r x^2 \left (d+e x^r\right )} \]

[In]

Integrate[(a + b*Log[c*x^n])/(x^3*(d + e*x^r)^2),x]

[Out]

-1/4*(b*n*(2 + r)*(d + e*x^r)*HypergeometricPFQ[{1, -2/r, -2/r}, {1 - 2/r, 1 - 2/r}, -((e*x^r)/d)] - 4*d*(a +
b*Log[c*x^n]) + 2*(d + e*x^r)*Hypergeometric2F1[1, -2/r, (-2 + r)/r, -((e*x^r)/d)]*(-(b*n) + a*(2 + r) + b*(2
+ r)*Log[c*x^n]))/(d^2*r*x^2*(d + e*x^r))

Integral number [415] \[ \int \frac {x^2 \left (a+b \log \left (c x^n\right )\right )}{\left (d+e x^r\right )^2} \, dx \]

[B]   time = 0.304075 (sec), size = 140 ,normalized size = 6.09 \[ \frac {x^3 \left (-b n (-3+r) \left (d+e x^r\right ) \, _3F_2\left (1,\frac {3}{r},\frac {3}{r};1+\frac {3}{r},1+\frac {3}{r};-\frac {e x^r}{d}\right )+9 d \left (a+b \log \left (c x^n\right )\right )+3 \left (d+e x^r\right ) \operatorname {Hypergeometric2F1}\left (1,\frac {3}{r},\frac {3+r}{r},-\frac {e x^r}{d}\right ) \left (-b n+a (-3+r)+b (-3+r) \log \left (c x^n\right )\right )\right )}{9 d^2 r \left (d+e x^r\right )} \]

[In]

Integrate[(x^2*(a + b*Log[c*x^n]))/(d + e*x^r)^2,x]

[Out]

(x^3*(-(b*n*(-3 + r)*(d + e*x^r)*HypergeometricPFQ[{1, 3/r, 3/r}, {1 + 3/r, 1 + 3/r}, -((e*x^r)/d)]) + 9*d*(a
+ b*Log[c*x^n]) + 3*(d + e*x^r)*Hypergeometric2F1[1, 3/r, (3 + r)/r, -((e*x^r)/d)]*(-(b*n) + a*(-3 + r) + b*(-
3 + r)*Log[c*x^n])))/(9*d^2*r*(d + e*x^r))

Integral number [416] \[ \int \frac {a+b \log \left (c x^n\right )}{\left (d+e x^r\right )^2} \, dx \]

[B]   time = 2.98149 (sec), size = 161 ,normalized size = 8.05 \[ \frac {x \left (a d r \operatorname {Hypergeometric2F1}\left (2,\frac {1}{r},1+\frac {1}{r},-\frac {e x^r}{d}\right )+a e r x^r \operatorname {Hypergeometric2F1}\left (2,\frac {1}{r},1+\frac {1}{r},-\frac {e x^r}{d}\right )-b n (-1+r) \left (d+e x^r\right ) \, _3F_2\left (1,\frac {1}{r},\frac {1}{r};1+\frac {1}{r},1+\frac {1}{r};-\frac {e x^r}{d}\right )+b d \log \left (c x^n\right )-b \left (d+e x^r\right ) \operatorname {Hypergeometric2F1}\left (1,\frac {1}{r},1+\frac {1}{r},-\frac {e x^r}{d}\right ) \left (n-(-1+r) \log \left (c x^n\right )\right )\right )}{d^2 r \left (d+e x^r\right )} \]

[In]

Integrate[(a + b*Log[c*x^n])/(d + e*x^r)^2,x]

[Out]

(x*(a*d*r*Hypergeometric2F1[2, r^(-1), 1 + r^(-1), -((e*x^r)/d)] + a*e*r*x^r*Hypergeometric2F1[2, r^(-1), 1 +
r^(-1), -((e*x^r)/d)] - b*n*(-1 + r)*(d + e*x^r)*HypergeometricPFQ[{1, r^(-1), r^(-1)}, {1 + r^(-1), 1 + r^(-1
)}, -((e*x^r)/d)] + b*d*Log[c*x^n] - b*(d + e*x^r)*Hypergeometric2F1[1, r^(-1), 1 + r^(-1), -((e*x^r)/d)]*(n -
(-1 + r)*Log[c*x^n])))/(d^2*r*(d + e*x^r))

Integral number [417] \[ \int \frac {a+b \log \left (c x^n\right )}{x^2 \left (d+e x^r\right )^2} \, dx \]

[B]   time = 0.271186 (sec), size = 135 ,normalized size = 5.87 \[ \frac {-b n (1+r) \left (d+e x^r\right ) \, _3F_2\left (1,-\frac {1}{r},-\frac {1}{r};1-\frac {1}{r},1-\frac {1}{r};-\frac {e x^r}{d}\right )+d \left (a+b \log \left (c x^n\right )\right )-\left (d+e x^r\right ) \operatorname {Hypergeometric2F1}\left (1,-\frac {1}{r},\frac {-1+r}{r},-\frac {e x^r}{d}\right ) \left (a-b n+a r+b (1+r) \log \left (c x^n\right )\right )}{d^2 r x \left (d+e x^r\right )} \]

[In]

Integrate[(a + b*Log[c*x^n])/(x^2*(d + e*x^r)^2),x]

[Out]

(-(b*n*(1 + r)*(d + e*x^r)*HypergeometricPFQ[{1, -r^(-1), -r^(-1)}, {1 - r^(-1), 1 - r^(-1)}, -((e*x^r)/d)]) +
d*(a + b*Log[c*x^n]) - (d + e*x^r)*Hypergeometric2F1[1, -r^(-1), (-1 + r)/r, -((e*x^r)/d)]*(a - b*n + a*r + b
*(1 + r)*Log[c*x^n]))/(d^2*r*x*(d + e*x^r))

Integral number [442] \[ \int \frac {(f x)^m \left (a+b \log \left (c x^n\right )\right )}{d+e x^r} \, dx \]

[B]   time = 0.297195 (sec), size = 111 ,normalized size = 4.44 \[ \frac {x (f x)^m \left (-b n \, _3F_2\left (1,\frac {1}{r}+\frac {m}{r},\frac {1}{r}+\frac {m}{r};1+\frac {1}{r}+\frac {m}{r},1+\frac {1}{r}+\frac {m}{r};-\frac {e x^r}{d}\right )+(1+m) \operatorname {Hypergeometric2F1}\left (1,\frac {1+m}{r},\frac {1+m+r}{r},-\frac {e x^r}{d}\right ) \left (a+b \log \left (c x^n\right )\right )\right )}{d (1+m)^2} \]

[In]

Integrate[((f*x)^m*(a + b*Log[c*x^n]))/(d + e*x^r),x]

[Out]

(x*(f*x)^m*(-(b*n*HypergeometricPFQ[{1, r^(-1) + m/r, r^(-1) + m/r}, {1 + r^(-1) + m/r, 1 + r^(-1) + m/r}, -((
e*x^r)/d)]) + (1 + m)*Hypergeometric2F1[1, (1 + m)/r, (1 + m + r)/r, -((e*x^r)/d)]*(a + b*Log[c*x^n])))/(d*(1
+ m)^2)

Integral number [443] \[ \int \frac {(f x)^m \left (a+b \log \left (c x^n\right )\right )}{\left (d+e x^r\right )^2} \, dx \]

[B]   time = 0.539752 (sec), size = 177 ,normalized size = 7.08 \[ \frac {x (f x)^m \left (b n (1+m-r) \left (d+e x^r\right ) \, _3F_2\left (1,\frac {1}{r}+\frac {m}{r},\frac {1}{r}+\frac {m}{r};1+\frac {1}{r}+\frac {m}{r},1+\frac {1}{r}+\frac {m}{r};-\frac {e x^r}{d}\right )-(1+m) \left (-d (1+m) \left (a+b \log \left (c x^n\right )\right )+\left (d+e x^r\right ) \operatorname {Hypergeometric2F1}\left (1,\frac {1+m}{r},\frac {1+m+r}{r},-\frac {e x^r}{d}\right ) \left (b n+a (1+m-r)+b (1+m-r) \log \left (c x^n\right )\right )\right )\right )}{d^2 (1+m)^2 r \left (d+e x^r\right )} \]

[In]

Integrate[((f*x)^m*(a + b*Log[c*x^n]))/(d + e*x^r)^2,x]

[Out]

(x*(f*x)^m*(b*n*(1 + m - r)*(d + e*x^r)*HypergeometricPFQ[{1, r^(-1) + m/r, r^(-1) + m/r}, {1 + r^(-1) + m/r,
1 + r^(-1) + m/r}, -((e*x^r)/d)] - (1 + m)*(-(d*(1 + m)*(a + b*Log[c*x^n])) + (d + e*x^r)*Hypergeometric2F1[1,
(1 + m)/r, (1 + m + r)/r, -((e*x^r)/d)]*(b*n + a*(1 + m - r) + b*(1 + m - r)*Log[c*x^n]))))/(d^2*(1 + m)^2*r*
(d + e*x^r))

4.4 Test file Number [171]

Mathematica

Integral number [144] \[ \int (g x)^q \left (a+b \log \left (c x^n\right )\right ) \log \left (d \left (e+f x^m\right )^k\right ) \, dx \]

[B]   time = 0.594432 (sec), size = 304 ,normalized size = 10.86 \[ \frac {x (g x)^q \left (-a k m+2 b k m n-a k m q-b k m n \, _3F_2\left (1,\frac {1}{m}+\frac {q}{m},\frac {1}{m}+\frac {q}{m};1+\frac {1}{m}+\frac {q}{m},1+\frac {1}{m}+\frac {q}{m};-\frac {f x^m}{e}\right )-b k m \log \left (c x^n\right )-b k m q \log \left (c x^n\right )+k m \operatorname {Hypergeometric2F1}\left (1,\frac {1+q}{m},\frac {1+m+q}{m},-\frac {f x^m}{e}\right ) \left (a-b n+a q+b (1+q) \log \left (c x^n\right )\right )+a \log \left (d \left (e+f x^m\right )^k\right )-b n \log \left (d \left (e+f x^m\right )^k\right )+2 a q \log \left (d \left (e+f x^m\right )^k\right )-b n q \log \left (d \left (e+f x^m\right )^k\right )+a q^2 \log \left (d \left (e+f x^m\right )^k\right )+b \log \left (c x^n\right ) \log \left (d \left (e+f x^m\right )^k\right )+2 b q \log \left (c x^n\right ) \log \left (d \left (e+f x^m\right )^k\right )+b q^2 \log \left (c x^n\right ) \log \left (d \left (e+f x^m\right )^k\right )\right )}{(1+q)^3} \]

[In]

Integrate[(g*x)^q*(a + b*Log[c*x^n])*Log[d*(e + f*x^m)^k],x]

[Out]

(x*(g*x)^q*(-(a*k*m) + 2*b*k*m*n - a*k*m*q - b*k*m*n*HypergeometricPFQ[{1, m^(-1) + q/m, m^(-1) + q/m}, {1 + m
^(-1) + q/m, 1 + m^(-1) + q/m}, -((f*x^m)/e)] - b*k*m*Log[c*x^n] - b*k*m*q*Log[c*x^n] + k*m*Hypergeometric2F1[
1, (1 + q)/m, (1 + m + q)/m, -((f*x^m)/e)]*(a - b*n + a*q + b*(1 + q)*Log[c*x^n]) + a*Log[d*(e + f*x^m)^k] - b
*n*Log[d*(e + f*x^m)^k] + 2*a*q*Log[d*(e + f*x^m)^k] - b*n*q*Log[d*(e + f*x^m)^k] + a*q^2*Log[d*(e + f*x^m)^k]
+ b*Log[c*x^n]*Log[d*(e + f*x^m)^k] + 2*b*q*Log[c*x^n]*Log[d*(e + f*x^m)^k] + b*q^2*Log[c*x^n]*Log[d*(e + f*x
^m)^k]))/(1 + q)^3

Integral number [150] \[ \int x^2 \left (a+b \log \left (c x^n\right )\right ) \log \left (d \left (e+f x^m\right )^k\right ) \, dx \]

[B]   time = 0.297521 (sec), size = 292 ,normalized size = 11.23 \[ -\frac {x^3 \left (-6 b e k m n-2 b e k m^2 n+9 a f k m x^m \operatorname {Hypergeometric2F1}\left (1,\frac {3+m}{m},2+\frac {3}{m},-\frac {f x^m}{e}\right )+b e k m (3+m) n \, _3F_2\left (1,\frac {3}{m},\frac {3}{m};1+\frac {3}{m},1+\frac {3}{m};-\frac {f x^m}{e}\right )+b e k m (3+m) \operatorname {Hypergeometric2F1}\left (1,\frac {3}{m},\frac {3+m}{m},-\frac {f x^m}{e}\right ) \left (n-3 \log \left (c x^n\right )\right )+9 b e k m \log \left (c x^n\right )+3 b e k m^2 \log \left (c x^n\right )-27 a e \log \left (d \left (e+f x^m\right )^k\right )-9 a e m \log \left (d \left (e+f x^m\right )^k\right )+9 b e n \log \left (d \left (e+f x^m\right )^k\right )+3 b e m n \log \left (d \left (e+f x^m\right )^k\right )-27 b e \log \left (c x^n\right ) \log \left (d \left (e+f x^m\right )^k\right )-9 b e m \log \left (c x^n\right ) \log \left (d \left (e+f x^m\right )^k\right )\right )}{27 e (3+m)} \]

[In]

Integrate[x^2*(a + b*Log[c*x^n])*Log[d*(e + f*x^m)^k],x]

[Out]

-1/27*(x^3*(-6*b*e*k*m*n - 2*b*e*k*m^2*n + 9*a*f*k*m*x^m*Hypergeometric2F1[1, (3 + m)/m, 2 + 3/m, -((f*x^m)/e)
] + b*e*k*m*(3 + m)*n*HypergeometricPFQ[{1, 3/m, 3/m}, {1 + 3/m, 1 + 3/m}, -((f*x^m)/e)] + b*e*k*m*(3 + m)*Hyp
ergeometric2F1[1, 3/m, (3 + m)/m, -((f*x^m)/e)]*(n - 3*Log[c*x^n]) + 9*b*e*k*m*Log[c*x^n] + 3*b*e*k*m^2*Log[c*
x^n] - 27*a*e*Log[d*(e + f*x^m)^k] - 9*a*e*m*Log[d*(e + f*x^m)^k] + 9*b*e*n*Log[d*(e + f*x^m)^k] + 3*b*e*m*n*L
og[d*(e + f*x^m)^k] - 27*b*e*Log[c*x^n]*Log[d*(e + f*x^m)^k] - 9*b*e*m*Log[c*x^n]*Log[d*(e + f*x^m)^k]))/(e*(3
+ m))

Integral number [151] \[ \int x \left (a+b \log \left (c x^n\right )\right ) \log \left (d \left (e+f x^m\right )^k\right ) \, dx \]

[B]   time = 0.270761 (sec), size = 292 ,normalized size = 12.17 \[ -\frac {x^2 \left (-4 b e k m n-2 b e k m^2 n+4 a f k m x^m \operatorname {Hypergeometric2F1}\left (1,\frac {2+m}{m},2+\frac {2}{m},-\frac {f x^m}{e}\right )+b e k m (2+m) n \, _3F_2\left (1,\frac {2}{m},\frac {2}{m};1+\frac {2}{m},1+\frac {2}{m};-\frac {f x^m}{e}\right )+b e k m (2+m) \operatorname {Hypergeometric2F1}\left (1,\frac {2}{m},\frac {2+m}{m},-\frac {f x^m}{e}\right ) \left (n-2 \log \left (c x^n\right )\right )+4 b e k m \log \left (c x^n\right )+2 b e k m^2 \log \left (c x^n\right )-8 a e \log \left (d \left (e+f x^m\right )^k\right )-4 a e m \log \left (d \left (e+f x^m\right )^k\right )+4 b e n \log \left (d \left (e+f x^m\right )^k\right )+2 b e m n \log \left (d \left (e+f x^m\right )^k\right )-8 b e \log \left (c x^n\right ) \log \left (d \left (e+f x^m\right )^k\right )-4 b e m \log \left (c x^n\right ) \log \left (d \left (e+f x^m\right )^k\right )\right )}{8 e (2+m)} \]

[In]

Integrate[x*(a + b*Log[c*x^n])*Log[d*(e + f*x^m)^k],x]

[Out]

-1/8*(x^2*(-4*b*e*k*m*n - 2*b*e*k*m^2*n + 4*a*f*k*m*x^m*Hypergeometric2F1[1, (2 + m)/m, 2 + 2/m, -((f*x^m)/e)]
+ b*e*k*m*(2 + m)*n*HypergeometricPFQ[{1, 2/m, 2/m}, {1 + 2/m, 1 + 2/m}, -((f*x^m)/e)] + b*e*k*m*(2 + m)*Hype
rgeometric2F1[1, 2/m, (2 + m)/m, -((f*x^m)/e)]*(n - 2*Log[c*x^n]) + 4*b*e*k*m*Log[c*x^n] + 2*b*e*k*m^2*Log[c*x
^n] - 8*a*e*Log[d*(e + f*x^m)^k] - 4*a*e*m*Log[d*(e + f*x^m)^k] + 4*b*e*n*Log[d*(e + f*x^m)^k] + 2*b*e*m*n*Log
[d*(e + f*x^m)^k] - 8*b*e*Log[c*x^n]*Log[d*(e + f*x^m)^k] - 4*b*e*m*Log[c*x^n]*Log[d*(e + f*x^m)^k]))/(e*(2 +
m))

Integral number [152] \[ \int \left (a+b \log \left (c x^n\right )\right ) \log \left (d \left (e+f x^m\right )^k\right ) \, dx \]

[B]   time = 0.43239 (sec), size = 165 ,normalized size = 7.17 \[ b k m n x-k m x \left (a+b \left (-n \log (x)+\log \left (c x^n\right )\right )\right )+x \left (b k m n-b k m n \, _3F_2\left (1,\frac {1}{m},\frac {1}{m};1+\frac {1}{m},1+\frac {1}{m};-\frac {f x^m}{e}\right )-b k m n \log (x)+k m \operatorname {Hypergeometric2F1}\left (1,\frac {1}{m},1+\frac {1}{m},-\frac {f x^m}{e}\right ) \left (a-b n+b \log \left (c x^n\right )\right )+a \log \left (d \left (e+f x^m\right )^k\right )-b n \log \left (d \left (e+f x^m\right )^k\right )+b \log \left (c x^n\right ) \log \left (d \left (e+f x^m\right )^k\right )\right ) \]

[In]

Integrate[(a + b*Log[c*x^n])*Log[d*(e + f*x^m)^k],x]

[Out]

b*k*m*n*x - k*m*x*(a + b*(-(n*Log[x]) + Log[c*x^n])) + x*(b*k*m*n - b*k*m*n*HypergeometricPFQ[{1, m^(-1), m^(-
1)}, {1 + m^(-1), 1 + m^(-1)}, -((f*x^m)/e)] - b*k*m*n*Log[x] + k*m*Hypergeometric2F1[1, m^(-1), 1 + m^(-1), -
((f*x^m)/e)]*(a - b*n + b*Log[c*x^n]) + a*Log[d*(e + f*x^m)^k] - b*n*Log[d*(e + f*x^m)^k] + b*Log[c*x^n]*Log[d
*(e + f*x^m)^k])

Integral number [154] \[ \int \frac {\left (a+b \log \left (c x^n\right )\right ) \log \left (d \left (e+f x^m\right )^k\right )}{x^2} \, dx \]

[B]   time = 0.219905 (sec), size = 282 ,normalized size = 10.85 \[ \frac {2 b e k m n-2 b e k m^2 n+a f k m x^m \operatorname {Hypergeometric2F1}\left (1,\frac {-1+m}{m},2-\frac {1}{m},-\frac {f x^m}{e}\right )+b e k (-1+m) m n \, _3F_2\left (1,-\frac {1}{m},-\frac {1}{m};1-\frac {1}{m},1-\frac {1}{m};-\frac {f x^m}{e}\right )+b e k m \log \left (c x^n\right )-b e k m^2 \log \left (c x^n\right )+b e k (-1+m) m \operatorname {Hypergeometric2F1}\left (1,-\frac {1}{m},\frac {-1+m}{m},-\frac {f x^m}{e}\right ) \left (n+\log \left (c x^n\right )\right )+a e \log \left (d \left (e+f x^m\right )^k\right )-a e m \log \left (d \left (e+f x^m\right )^k\right )+b e n \log \left (d \left (e+f x^m\right )^k\right )-b e m n \log \left (d \left (e+f x^m\right )^k\right )+b e \log \left (c x^n\right ) \log \left (d \left (e+f x^m\right )^k\right )-b e m \log \left (c x^n\right ) \log \left (d \left (e+f x^m\right )^k\right )}{e (-1+m) x} \]

[In]

Integrate[((a + b*Log[c*x^n])*Log[d*(e + f*x^m)^k])/x^2,x]

[Out]

(2*b*e*k*m*n - 2*b*e*k*m^2*n + a*f*k*m*x^m*Hypergeometric2F1[1, (-1 + m)/m, 2 - m^(-1), -((f*x^m)/e)] + b*e*k*
(-1 + m)*m*n*HypergeometricPFQ[{1, -m^(-1), -m^(-1)}, {1 - m^(-1), 1 - m^(-1)}, -((f*x^m)/e)] + b*e*k*m*Log[c*
x^n] - b*e*k*m^2*Log[c*x^n] + b*e*k*(-1 + m)*m*Hypergeometric2F1[1, -m^(-1), (-1 + m)/m, -((f*x^m)/e)]*(n + Lo
g[c*x^n]) + a*e*Log[d*(e + f*x^m)^k] - a*e*m*Log[d*(e + f*x^m)^k] + b*e*n*Log[d*(e + f*x^m)^k] - b*e*m*n*Log[d
*(e + f*x^m)^k] + b*e*Log[c*x^n]*Log[d*(e + f*x^m)^k] - b*e*m*Log[c*x^n]*Log[d*(e + f*x^m)^k])/(e*(-1 + m)*x)

Integral number [155] \[ \int \frac {\left (a+b \log \left (c x^n\right )\right ) \log \left (d \left (e+f x^m\right )^k\right )}{x^3} \, dx \]

[B]   time = 0.236622 (sec), size = 292 ,normalized size = 11.23 \[ \frac {4 b e k m n-2 b e k m^2 n+4 a f k m x^m \operatorname {Hypergeometric2F1}\left (1,\frac {-2+m}{m},2-\frac {2}{m},-\frac {f x^m}{e}\right )+b e k (-2+m) m n \, _3F_2\left (1,-\frac {2}{m},-\frac {2}{m};1-\frac {2}{m},1-\frac {2}{m};-\frac {f x^m}{e}\right )+4 b e k m \log \left (c x^n\right )-2 b e k m^2 \log \left (c x^n\right )+b e k (-2+m) m \operatorname {Hypergeometric2F1}\left (1,-\frac {2}{m},\frac {-2+m}{m},-\frac {f x^m}{e}\right ) \left (n+2 \log \left (c x^n\right )\right )+8 a e \log \left (d \left (e+f x^m\right )^k\right )-4 a e m \log \left (d \left (e+f x^m\right )^k\right )+4 b e n \log \left (d \left (e+f x^m\right )^k\right )-2 b e m n \log \left (d \left (e+f x^m\right )^k\right )+8 b e \log \left (c x^n\right ) \log \left (d \left (e+f x^m\right )^k\right )-4 b e m \log \left (c x^n\right ) \log \left (d \left (e+f x^m\right )^k\right )}{8 e (-2+m) x^2} \]

[In]

Integrate[((a + b*Log[c*x^n])*Log[d*(e + f*x^m)^k])/x^3,x]

[Out]

(4*b*e*k*m*n - 2*b*e*k*m^2*n + 4*a*f*k*m*x^m*Hypergeometric2F1[1, (-2 + m)/m, 2 - 2/m, -((f*x^m)/e)] + b*e*k*(
-2 + m)*m*n*HypergeometricPFQ[{1, -2/m, -2/m}, {1 - 2/m, 1 - 2/m}, -((f*x^m)/e)] + 4*b*e*k*m*Log[c*x^n] - 2*b*
e*k*m^2*Log[c*x^n] + b*e*k*(-2 + m)*m*Hypergeometric2F1[1, -2/m, (-2 + m)/m, -((f*x^m)/e)]*(n + 2*Log[c*x^n])
+ 8*a*e*Log[d*(e + f*x^m)^k] - 4*a*e*m*Log[d*(e + f*x^m)^k] + 4*b*e*n*Log[d*(e + f*x^m)^k] - 2*b*e*m*n*Log[d*(
e + f*x^m)^k] + 8*b*e*Log[c*x^n]*Log[d*(e + f*x^m)^k] - 4*b*e*m*Log[c*x^n]*Log[d*(e + f*x^m)^k])/(8*e*(-2 + m)
*x^2)

Integral number [226] \[ \int -(d x)^m \left (a+b \log \left (c x^n\right )\right ) \log \left (1-e x^q\right ) \, dx \]

[B]   time = 0.31524 (sec), size = 266 ,normalized size = 10.23 \[ -\frac {x (d x)^m \left (-a q-a m q+2 b n q-b n q \, _3F_2\left (1,\frac {1}{q}+\frac {m}{q},\frac {1}{q}+\frac {m}{q};1+\frac {1}{q}+\frac {m}{q},1+\frac {1}{q}+\frac {m}{q};e x^q\right )-b q \log \left (c x^n\right )-b m q \log \left (c x^n\right )+q \operatorname {Hypergeometric2F1}\left (1,\frac {1+m}{q},\frac {1+m+q}{q},e x^q\right ) \left (a+a m-b n+b (1+m) \log \left (c x^n\right )\right )+a \log \left (1-e x^q\right )+2 a m \log \left (1-e x^q\right )+a m^2 \log \left (1-e x^q\right )-b n \log \left (1-e x^q\right )-b m n \log \left (1-e x^q\right )+b \log \left (c x^n\right ) \log \left (1-e x^q\right )+2 b m \log \left (c x^n\right ) \log \left (1-e x^q\right )+b m^2 \log \left (c x^n\right ) \log \left (1-e x^q\right )\right )}{(1+m)^3} \]

[In]

Integrate[-((d*x)^m*(a + b*Log[c*x^n])*Log[1 - e*x^q]),x]

[Out]

-((x*(d*x)^m*(-(a*q) - a*m*q + 2*b*n*q - b*n*q*HypergeometricPFQ[{1, q^(-1) + m/q, q^(-1) + m/q}, {1 + q^(-1)
+ m/q, 1 + q^(-1) + m/q}, e*x^q] - b*q*Log[c*x^n] - b*m*q*Log[c*x^n] + q*Hypergeometric2F1[1, (1 + m)/q, (1 +
m + q)/q, e*x^q]*(a + a*m - b*n + b*(1 + m)*Log[c*x^n]) + a*Log[1 - e*x^q] + 2*a*m*Log[1 - e*x^q] + a*m^2*Log[
1 - e*x^q] - b*n*Log[1 - e*x^q] - b*m*n*Log[1 - e*x^q] + b*Log[c*x^n]*Log[1 - e*x^q] + 2*b*m*Log[c*x^n]*Log[1
- e*x^q] + b*m^2*Log[c*x^n]*Log[1 - e*x^q]))/(1 + m)^3)

Maple

Integral number [227] \[ \int (d x)^m \left (a+b \log \left (c x^n\right )\right ) \operatorname {PolyLog}\left (2,e x^q\right ) \, dx \]

[B]   time = 0.067 (sec), size = 867 ,normalized size = 37.7 \[\text {result too large to display}\]

[In]

int((d*x)^m*(a+b*ln(c*x^n))*polylog(2,e*x^q),x)

[Out]

-(d*x)^m*x^(-m)*(-e)^(-m/q-1/q)*a/q*(-q^2*x^(1+m)*(-e)^(m/q+1/q)/(1+m)^2*ln(1-e*x^q)-q*x^(1+m)*(-e)^(m/q+1/q)/
(1+m)*polylog(2,e*x^q)-q^2*x^(1+m+q)*e*(-e)^(m/q+1/q)/(1+m)^2*LerchPhi(e*x^q,1,(1+m+q)/q))-(d*x)^m*x^(-m)*(-e)
^(-m/q-1/q)*b*ln(c)/q*(-q^2*x^(1+m)*(-e)^(m/q+1/q)/(1+m)^2*ln(1-e*x^q)-q*x^(1+m)*(-e)^(m/q+1/q)/(1+m)*polylog(
2,e*x^q)-q^2*x^(1+m+q)*e*(-e)^(m/q+1/q)/(1+m)^2*LerchPhi(e*x^q,1,(1+m+q)/q))+((-e)^(-m/q-1/q)*ln(-e)/q^2*(d*x)
^m*x^(-m)*b*n*(-q^2*x^m*(-e)^(m/q+1/q)/(1+m)^2*ln(1-e*x^q)-q*x^m*(-e)^(m/q+1/q)/(1+m)*polylog(2,e*x^q)-q^2*x^(
q+m)*e*(-e)^(m/q+1/q)/(1+m)^2*LerchPhi(e*x^q,1,(1+m+q)/q))-(-e)^(-m/q-1/q)*(d*x)^m*x^(-m)*b*n/q*(-q^2*x^m*(-e)
^(m/q+1/q)*ln(x)/(1+m)^2*ln(1-e*x^q)-q*x^m*(-e)^(m/q+1/q)*ln(-e)/(1+m)^2*ln(1-e*x^q)+2*q^2*x^m*(-e)^(m/q+1/q)/
(1+m)^3*ln(1-e*x^q)-q*x^m*(-e)^(m/q+1/q)*ln(x)/(1+m)*polylog(2,e*x^q)-x^m*(-e)^(m/q+1/q)*ln(-e)/(1+m)*polylog(
2,e*x^q)+q*x^m*(-e)^(m/q+1/q)/(1+m)^2*polylog(2,e*x^q)-q^2*x^(q+m)*e*(-e)^(m/q+1/q)*ln(x)/(1+m)^2*LerchPhi(e*x
^q,1,(1+m+q)/q)-q*x^(q+m)*e*(-e)^(m/q+1/q)*ln(-e)/(1+m)^2*LerchPhi(e*x^q,1,(1+m+q)/q)+2*q^2*x^(q+m)*e*(-e)^(m/
q+1/q)/(1+m)^3*LerchPhi(e*x^q,1,(1+m+q)/q)+q*x^(q+m)*e*(-e)^(m/q+1/q)/(1+m)^2*LerchPhi(e*x^q,2,(1+m+q)/q)))*x

4.5 Test file Number [176]

Mathematica

Integral number [98] \[ \int x^2 \log ^3\left (c \left (a+b x^2\right )^p\right ) \, dx \]

[B]   time = 5.42984 (sec), size = 909 ,normalized size = 50.5 \[ \frac {2 a p x \left (-p \log \left (a+b x^2\right )+\log \left (c \left (a+b x^2\right )^p\right )\right )^2}{b}-\frac {2 a^{3/2} p \arctan \left (\frac {\sqrt {b} x}{\sqrt {a}}\right ) \left (-p \log \left (a+b x^2\right )+\log \left (c \left (a+b x^2\right )^p\right )\right )^2}{b^{3/2}}+p x^3 \log \left (a+b x^2\right ) \left (-p \log \left (a+b x^2\right )+\log \left (c \left (a+b x^2\right )^p\right )\right )^2+\frac {1}{3} x^3 \left (-p \log \left (a+b x^2\right )+\log \left (c \left (a+b x^2\right )^p\right )\right )^2 \left (-2 p-p \log \left (a+b x^2\right )+\log \left (c \left (a+b x^2\right )^p\right )\right )+3 p^2 \left (-p \log \left (a+b x^2\right )+\log \left (c \left (a+b x^2\right )^p\right )\right ) \left (\frac {1}{3} x^3 \log ^2\left (a+b x^2\right )-\frac {4 \left (9 i a^{3/2} \arctan \left (\frac {\sqrt {b} x}{\sqrt {a}}\right )^2+3 a^{3/2} \arctan \left (\frac {\sqrt {b} x}{\sqrt {a}}\right ) \left (-8+6 \log \left (\frac {2 \sqrt {a}}{\sqrt {a}+i \sqrt {b} x}\right )+3 \log \left (a+b x^2\right )\right )+\sqrt {b} x \left (24 a-2 b x^2+\left (-9 a+3 b x^2\right ) \log \left (a+b x^2\right )\right )+9 i a^{3/2} \operatorname {PolyLog}\left (2,\frac {i \sqrt {a}+\sqrt {b} x}{-i \sqrt {a}+\sqrt {b} x}\right )\right )}{27 b^{3/2}}\right )+\frac {p^3 \left (416 \sqrt {-a} a^{3/2} \sqrt {\frac {b x^2}{a+b x^2}} \sqrt {a+b x^2} \arcsin \left (\frac {\sqrt {a}}{\sqrt {a+b x^2}}\right )+\frac {2}{3} \sqrt {-a} b x^2 \left (624 a-16 b x^2+\left (-288 a+24 b x^2\right ) \log \left (a+b x^2\right )+18 \left (3 a-b x^2\right ) \log ^2\left (a+b x^2\right )+9 b x^2 \log ^3\left (a+b x^2\right )\right )+36 \sqrt {-a} a^{3/2} \sqrt {\frac {b x^2}{a+b x^2}} \left (8 \sqrt {a} \, _4F_3\left (\frac {1}{2},\frac {1}{2},\frac {1}{2},\frac {1}{2};\frac {3}{2},\frac {3}{2},\frac {3}{2};\frac {a}{a+b x^2}\right )+\log \left (a+b x^2\right ) \left (4 \sqrt {a} \, _3F_2\left (\frac {1}{2},\frac {1}{2},\frac {1}{2};\frac {3}{2},\frac {3}{2};\frac {a}{a+b x^2}\right )+\sqrt {a+b x^2} \arcsin \left (\frac {\sqrt {a}}{\sqrt {a+b x^2}}\right ) \log \left (a+b x^2\right )\right )\right )-48 a^2 \left (4 \sqrt {b x^2} \text {arctanh}\left (\frac {\sqrt {b x^2}}{\sqrt {-a}}\right ) \left (\log \left (a+b x^2\right )-\log \left (1+\frac {b x^2}{a}\right )\right )-\sqrt {-a} \sqrt {-\frac {b x^2}{a}} \left (\log ^2\left (1+\frac {b x^2}{a}\right )-4 \log \left (1+\frac {b x^2}{a}\right ) \log \left (\frac {1}{2} \left (1+\sqrt {-\frac {b x^2}{a}}\right )\right )+2 \log ^2\left (\frac {1}{2} \left (1+\sqrt {-\frac {b x^2}{a}}\right )\right )-4 \operatorname {PolyLog}\left (2,\frac {1}{2}-\frac {1}{2} \sqrt {-\frac {b x^2}{a}}\right )\right )\right )\right )}{18 \sqrt {-a} b^2 x} \]

[In]

Integrate[x^2*Log[c*(a + b*x^2)^p]^3,x]

[Out]

(2*a*p*x*(-(p*Log[a + b*x^2]) + Log[c*(a + b*x^2)^p])^2)/b - (2*a^(3/2)*p*ArcTan[(Sqrt[b]*x)/Sqrt[a]]*(-(p*Log
[a + b*x^2]) + Log[c*(a + b*x^2)^p])^2)/b^(3/2) + p*x^3*Log[a + b*x^2]*(-(p*Log[a + b*x^2]) + Log[c*(a + b*x^2
)^p])^2 + (x^3*(-(p*Log[a + b*x^2]) + Log[c*(a + b*x^2)^p])^2*(-2*p - p*Log[a + b*x^2] + Log[c*(a + b*x^2)^p])
)/3 + 3*p^2*(-(p*Log[a + b*x^2]) + Log[c*(a + b*x^2)^p])*((x^3*Log[a + b*x^2]^2)/3 - (4*((9*I)*a^(3/2)*ArcTan[
(Sqrt[b]*x)/Sqrt[a]]^2 + 3*a^(3/2)*ArcTan[(Sqrt[b]*x)/Sqrt[a]]*(-8 + 6*Log[(2*Sqrt[a])/(Sqrt[a] + I*Sqrt[b]*x)
] + 3*Log[a + b*x^2]) + Sqrt[b]*x*(24*a - 2*b*x^2 + (-9*a + 3*b*x^2)*Log[a + b*x^2]) + (9*I)*a^(3/2)*PolyLog[2
, (I*Sqrt[a] + Sqrt[b]*x)/((-I)*Sqrt[a] + Sqrt[b]*x)]))/(27*b^(3/2))) + (p^3*(416*Sqrt[-a]*a^(3/2)*Sqrt[(b*x^2
)/(a + b*x^2)]*Sqrt[a + b*x^2]*ArcSin[Sqrt[a]/Sqrt[a + b*x^2]] + (2*Sqrt[-a]*b*x^2*(624*a - 16*b*x^2 + (-288*a
+ 24*b*x^2)*Log[a + b*x^2] + 18*(3*a - b*x^2)*Log[a + b*x^2]^2 + 9*b*x^2*Log[a + b*x^2]^3))/3 + 36*Sqrt[-a]*a
^(3/2)*Sqrt[(b*x^2)/(a + b*x^2)]*(8*Sqrt[a]*HypergeometricPFQ[{1/2, 1/2, 1/2, 1/2}, {3/2, 3/2, 3/2}, a/(a + b*
x^2)] + Log[a + b*x^2]*(4*Sqrt[a]*HypergeometricPFQ[{1/2, 1/2, 1/2}, {3/2, 3/2}, a/(a + b*x^2)] + Sqrt[a + b*x
^2]*ArcSin[Sqrt[a]/Sqrt[a + b*x^2]]*Log[a + b*x^2])) - 48*a^2*(4*Sqrt[b*x^2]*ArcTanh[Sqrt[b*x^2]/Sqrt[-a]]*(Lo
g[a + b*x^2] - Log[1 + (b*x^2)/a]) - Sqrt[-a]*Sqrt[-((b*x^2)/a)]*(Log[1 + (b*x^2)/a]^2 - 4*Log[1 + (b*x^2)/a]*
Log[(1 + Sqrt[-((b*x^2)/a)])/2] + 2*Log[(1 + Sqrt[-((b*x^2)/a)])/2]^2 - 4*PolyLog[2, 1/2 - Sqrt[-((b*x^2)/a)]/
2]))))/(18*Sqrt[-a]*b^2*x)

Integral number [99] \[ \int \log ^3\left (c \left (a+b x^2\right )^p\right ) \, dx \]

[B]   time = 4.65237 (sec), size = 789 ,normalized size = 56.36 \[ \frac {6 \sqrt {a} p \arctan \left (\frac {\sqrt {b} x}{\sqrt {a}}\right ) \left (-p \log \left (a+b x^2\right )+\log \left (c \left (a+b x^2\right )^p\right )\right )^2}{\sqrt {b}}+3 p x \log \left (a+b x^2\right ) \left (-p \log \left (a+b x^2\right )+\log \left (c \left (a+b x^2\right )^p\right )\right )^2+x \left (-p \log \left (a+b x^2\right )+\log \left (c \left (a+b x^2\right )^p\right )\right )^2 \left (-6 p-p \log \left (a+b x^2\right )+\log \left (c \left (a+b x^2\right )^p\right )\right )-\frac {3 p^2 \left (p \log \left (a+b x^2\right )-\log \left (c \left (a+b x^2\right )^p\right )\right ) \left (4 i \sqrt {a} \arctan \left (\frac {\sqrt {b} x}{\sqrt {a}}\right )^2+4 \sqrt {a} \arctan \left (\frac {\sqrt {b} x}{\sqrt {a}}\right ) \left (-2+2 \log \left (\frac {2 \sqrt {a}}{\sqrt {a}+i \sqrt {b} x}\right )+\log \left (a+b x^2\right )\right )+\sqrt {b} x \left (8-4 \log \left (a+b x^2\right )+\log ^2\left (a+b x^2\right )\right )+4 i \sqrt {a} \operatorname {PolyLog}\left (2,\frac {i \sqrt {a}+\sqrt {b} x}{-i \sqrt {a}+\sqrt {b} x}\right )\right )}{\sqrt {b}}+\frac {p^3 \left (-48 \sqrt {-a^2} \sqrt {\frac {b x^2}{a+b x^2}} \sqrt {a+b x^2} \arcsin \left (\frac {\sqrt {a}}{\sqrt {a+b x^2}}\right )+\sqrt {-a} b x^2 \left (-48+24 \log \left (a+b x^2\right )-6 \log ^2\left (a+b x^2\right )+\log ^3\left (a+b x^2\right )\right )-6 \sqrt {-a^2} \sqrt {\frac {b x^2}{a+b x^2}} \left (8 \sqrt {a} \, _4F_3\left (\frac {1}{2},\frac {1}{2},\frac {1}{2},\frac {1}{2};\frac {3}{2},\frac {3}{2},\frac {3}{2};\frac {a}{a+b x^2}\right )+\log \left (a+b x^2\right ) \left (4 \sqrt {a} \, _3F_2\left (\frac {1}{2},\frac {1}{2},\frac {1}{2};\frac {3}{2},\frac {3}{2};\frac {a}{a+b x^2}\right )+\sqrt {a+b x^2} \arcsin \left (\frac {\sqrt {a}}{\sqrt {a+b x^2}}\right ) \log \left (a+b x^2\right )\right )\right )+24 a \sqrt {b x^2} \text {arctanh}\left (\frac {\sqrt {b x^2}}{\sqrt {-a}}\right ) \left (\log \left (a+b x^2\right )-\log \left (1+\frac {b x^2}{a}\right )\right )+6 (-a)^{3/2} \sqrt {-\frac {b x^2}{a}} \left (\log ^2\left (1+\frac {b x^2}{a}\right )-4 \log \left (1+\frac {b x^2}{a}\right ) \log \left (\frac {1}{2} \left (1+\sqrt {-\frac {b x^2}{a}}\right )\right )+2 \log ^2\left (\frac {1}{2} \left (1+\sqrt {-\frac {b x^2}{a}}\right )\right )-4 \operatorname {PolyLog}\left (2,\frac {1}{2}-\frac {1}{2} \sqrt {-\frac {b x^2}{a}}\right )\right )\right )}{\sqrt {-a} b x} \]

[In]

Integrate[Log[c*(a + b*x^2)^p]^3,x]

[Out]

(6*Sqrt[a]*p*ArcTan[(Sqrt[b]*x)/Sqrt[a]]*(-(p*Log[a + b*x^2]) + Log[c*(a + b*x^2)^p])^2)/Sqrt[b] + 3*p*x*Log[a
+ b*x^2]*(-(p*Log[a + b*x^2]) + Log[c*(a + b*x^2)^p])^2 + x*(-(p*Log[a + b*x^2]) + Log[c*(a + b*x^2)^p])^2*(-
6*p - p*Log[a + b*x^2] + Log[c*(a + b*x^2)^p]) - (3*p^2*(p*Log[a + b*x^2] - Log[c*(a + b*x^2)^p])*((4*I)*Sqrt[
a]*ArcTan[(Sqrt[b]*x)/Sqrt[a]]^2 + 4*Sqrt[a]*ArcTan[(Sqrt[b]*x)/Sqrt[a]]*(-2 + 2*Log[(2*Sqrt[a])/(Sqrt[a] + I*
Sqrt[b]*x)] + Log[a + b*x^2]) + Sqrt[b]*x*(8 - 4*Log[a + b*x^2] + Log[a + b*x^2]^2) + (4*I)*Sqrt[a]*PolyLog[2,
(I*Sqrt[a] + Sqrt[b]*x)/((-I)*Sqrt[a] + Sqrt[b]*x)]))/Sqrt[b] + (p^3*(-48*Sqrt[-a^2]*Sqrt[(b*x^2)/(a + b*x^2)
]*Sqrt[a + b*x^2]*ArcSin[Sqrt[a]/Sqrt[a + b*x^2]] + Sqrt[-a]*b*x^2*(-48 + 24*Log[a + b*x^2] - 6*Log[a + b*x^2]
^2 + Log[a + b*x^2]^3) - 6*Sqrt[-a^2]*Sqrt[(b*x^2)/(a + b*x^2)]*(8*Sqrt[a]*HypergeometricPFQ[{1/2, 1/2, 1/2, 1
/2}, {3/2, 3/2, 3/2}, a/(a + b*x^2)] + Log[a + b*x^2]*(4*Sqrt[a]*HypergeometricPFQ[{1/2, 1/2, 1/2}, {3/2, 3/2}
, a/(a + b*x^2)] + Sqrt[a + b*x^2]*ArcSin[Sqrt[a]/Sqrt[a + b*x^2]]*Log[a + b*x^2])) + 24*a*Sqrt[b*x^2]*ArcTanh
[Sqrt[b*x^2]/Sqrt[-a]]*(Log[a + b*x^2] - Log[1 + (b*x^2)/a]) + 6*(-a)^(3/2)*Sqrt[-((b*x^2)/a)]*(Log[1 + (b*x^2
)/a]^2 - 4*Log[1 + (b*x^2)/a]*Log[(1 + Sqrt[-((b*x^2)/a)])/2] + 2*Log[(1 + Sqrt[-((b*x^2)/a)])/2]^2 - 4*PolyLo
g[2, 1/2 - Sqrt[-((b*x^2)/a)]/2])))/(Sqrt[-a]*b*x)

Integral number [100] \[ \int \frac {\log ^3\left (c \left (a+b x^2\right )^p\right )}{x^2} \, dx \]

[C]   time = 1.72083 (sec), size = 505 ,normalized size = 28.06 \[ \frac {p^3 \left (-96 \sqrt {a} \sqrt {1-\frac {a}{a+b x^2}} \, _4F_3\left (\frac {1}{2},\frac {1}{2},\frac {1}{2},\frac {1}{2};\frac {3}{2},\frac {3}{2},\frac {3}{2};\frac {a}{a+b x^2}\right )-48 \sqrt {a} \sqrt {1-\frac {a}{a+b x^2}} \, _3F_2\left (\frac {1}{2},\frac {1}{2},\frac {1}{2};\frac {3}{2},\frac {3}{2};\frac {a}{a+b x^2}\right ) \log \left (a+b x^2\right )-2 \log ^2\left (a+b x^2\right ) \left (6 \sqrt {a+b x^2} \sqrt {1-\frac {a}{a+b x^2}} \arcsin \left (\frac {\sqrt {a}}{\sqrt {a+b x^2}}\right )+\sqrt {a} \log \left (a+b x^2\right )\right )\right )}{2 \sqrt {a} x}+\frac {6 \sqrt {b} p \arctan \left (\frac {\sqrt {b} x}{\sqrt {a}}\right ) \left (-p \log \left (a+b x^2\right )+\log \left (c \left (a+b x^2\right )^p\right )\right )^2}{\sqrt {a}}-\frac {3 p \log \left (a+b x^2\right ) \left (-p \log \left (a+b x^2\right )+\log \left (c \left (a+b x^2\right )^p\right )\right )^2}{x}-\frac {\left (-p \log \left (a+b x^2\right )+\log \left (c \left (a+b x^2\right )^p\right )\right )^3}{x}+3 p^2 \left (-p \log \left (a+b x^2\right )+\log \left (c \left (a+b x^2\right )^p\right )\right ) \left (-\frac {\log ^2\left (a+b x^2\right )}{x}+\frac {4 \sqrt {b} \left (\arctan \left (\frac {\sqrt {b} x}{\sqrt {a}}\right ) \left (i \arctan \left (\frac {\sqrt {b} x}{\sqrt {a}}\right )+2 \log \left (\frac {2 i}{i-\frac {\sqrt {b} x}{\sqrt {a}}}\right )+\log \left (a+b x^2\right )\right )+i \operatorname {PolyLog}\left (2,\frac {i \sqrt {a}+\sqrt {b} x}{-i \sqrt {a}+\sqrt {b} x}\right )\right )}{\sqrt {a}}\right ) \]

[In]

Integrate[Log[c*(a + b*x^2)^p]^3/x^2,x]

[Out]

(p^3*(-96*Sqrt[a]*Sqrt[1 - a/(a + b*x^2)]*HypergeometricPFQ[{1/2, 1/2, 1/2, 1/2}, {3/2, 3/2, 3/2}, a/(a + b*x^
2)] - 48*Sqrt[a]*Sqrt[1 - a/(a + b*x^2)]*HypergeometricPFQ[{1/2, 1/2, 1/2}, {3/2, 3/2}, a/(a + b*x^2)]*Log[a +
b*x^2] - 2*Log[a + b*x^2]^2*(6*Sqrt[a + b*x^2]*Sqrt[1 - a/(a + b*x^2)]*ArcSin[Sqrt[a]/Sqrt[a + b*x^2]] + Sqrt
[a]*Log[a + b*x^2])))/(2*Sqrt[a]*x) + (6*Sqrt[b]*p*ArcTan[(Sqrt[b]*x)/Sqrt[a]]*(-(p*Log[a + b*x^2]) + Log[c*(a
+ b*x^2)^p])^2)/Sqrt[a] - (3*p*Log[a + b*x^2]*(-(p*Log[a + b*x^2]) + Log[c*(a + b*x^2)^p])^2)/x - (-(p*Log[a
+ b*x^2]) + Log[c*(a + b*x^2)^p])^3/x + 3*p^2*(-(p*Log[a + b*x^2]) + Log[c*(a + b*x^2)^p])*(-(Log[a + b*x^2]^2
/x) + (4*Sqrt[b]*(ArcTan[(Sqrt[b]*x)/Sqrt[a]]*(I*ArcTan[(Sqrt[b]*x)/Sqrt[a]] + 2*Log[(2*I)/(I - (Sqrt[b]*x)/Sq
rt[a])] + Log[a + b*x^2]) + I*PolyLog[2, (I*Sqrt[a] + Sqrt[b]*x)/((-I)*Sqrt[a] + Sqrt[b]*x)]))/Sqrt[a])

Integral number [101] \[ \int \frac {\log ^3\left (c \left (a+b x^2\right )^p\right )}{x^4} \, dx \]

[B]   time = 3.70975 (sec), size = 851 ,normalized size = 47.28 \[ \frac {a^2 \left (p \log \left (a+b x^2\right )-\log \left (c \left (a+b x^2\right )^p\right )\right )^3-6 a b p x^2 \left (-p \log \left (a+b x^2\right )+\log \left (c \left (a+b x^2\right )^p\right )\right )^2-6 \sqrt {a} b^{3/2} p x^3 \arctan \left (\frac {\sqrt {b} x}{\sqrt {a}}\right ) \left (-p \log \left (a+b x^2\right )+\log \left (c \left (a+b x^2\right )^p\right )\right )^2-3 a^2 p \log \left (a+b x^2\right ) \left (-p \log \left (a+b x^2\right )+\log \left (c \left (a+b x^2\right )^p\right )\right )^2+3 \sqrt {a} p^2 \left (p \log \left (a+b x^2\right )-\log \left (c \left (a+b x^2\right )^p\right )\right ) \left (a^{3/2} \log ^2\left (a+b x^2\right )+4 b x^2 \left (i \sqrt {b} x \arctan \left (\frac {\sqrt {b} x}{\sqrt {a}}\right )^2+\sqrt {a} \log \left (a+b x^2\right )+\sqrt {b} x \arctan \left (\frac {\sqrt {b} x}{\sqrt {a}}\right ) \left (-2+2 \log \left (\frac {2 \sqrt {a}}{\sqrt {a}+i \sqrt {b} x}\right )+\log \left (a+b x^2\right )\right )+i \sqrt {b} x \operatorname {PolyLog}\left (2,\frac {i \sqrt {a}+\sqrt {b} x}{-i \sqrt {a}+\sqrt {b} x}\right )\right )\right )+p^3 \left (48 a b x^2 \sqrt {\frac {b x^2}{a+b x^2}} \, _4F_3\left (\frac {1}{2},\frac {1}{2},\frac {1}{2},\frac {1}{2};\frac {3}{2},\frac {3}{2},\frac {3}{2};\frac {a}{a+b x^2}\right )+24 \sqrt {-a} \left (b x^2\right )^{3/2} \text {arctanh}\left (\frac {\sqrt {b x^2}}{\sqrt {-a}}\right ) \log \left (a+b x^2\right )+24 a b x^2 \sqrt {\frac {b x^2}{a+b x^2}} \, _3F_2\left (\frac {1}{2},\frac {1}{2},\frac {1}{2};\frac {3}{2},\frac {3}{2};\frac {a}{a+b x^2}\right ) \log \left (a+b x^2\right )-6 a b x^2 \log ^2\left (a+b x^2\right )+6 \sqrt {a} \left (\frac {b x^2}{a+b x^2}\right )^{3/2} \left (a+b x^2\right )^{3/2} \arcsin \left (\frac {\sqrt {a}}{\sqrt {a+b x^2}}\right ) \log ^2\left (a+b x^2\right )-a^2 \log ^3\left (a+b x^2\right )-24 \sqrt {-a} \left (b x^2\right )^{3/2} \text {arctanh}\left (\frac {\sqrt {b x^2}}{\sqrt {-a}}\right ) \log \left (1+\frac {b x^2}{a}\right )-6 a^2 \left (-\frac {b x^2}{a}\right )^{3/2} \log ^2\left (1+\frac {b x^2}{a}\right )+24 a^2 \left (-\frac {b x^2}{a}\right )^{3/2} \log \left (1+\frac {b x^2}{a}\right ) \log \left (\frac {1}{2} \left (1+\sqrt {-\frac {b x^2}{a}}\right )\right )-12 a^2 \left (-\frac {b x^2}{a}\right )^{3/2} \log ^2\left (\frac {1}{2} \left (1+\sqrt {-\frac {b x^2}{a}}\right )\right )+24 a^2 \left (-\frac {b x^2}{a}\right )^{3/2} \operatorname {PolyLog}\left (2,\frac {1}{2}-\frac {1}{2} \sqrt {-\frac {b x^2}{a}}\right )\right )}{3 a^2 x^3} \]

[In]

Integrate[Log[c*(a + b*x^2)^p]^3/x^4,x]

[Out]

(a^2*(p*Log[a + b*x^2] - Log[c*(a + b*x^2)^p])^3 - 6*a*b*p*x^2*(-(p*Log[a + b*x^2]) + Log[c*(a + b*x^2)^p])^2
- 6*Sqrt[a]*b^(3/2)*p*x^3*ArcTan[(Sqrt[b]*x)/Sqrt[a]]*(-(p*Log[a + b*x^2]) + Log[c*(a + b*x^2)^p])^2 - 3*a^2*p
*Log[a + b*x^2]*(-(p*Log[a + b*x^2]) + Log[c*(a + b*x^2)^p])^2 + 3*Sqrt[a]*p^2*(p*Log[a + b*x^2] - Log[c*(a +
b*x^2)^p])*(a^(3/2)*Log[a + b*x^2]^2 + 4*b*x^2*(I*Sqrt[b]*x*ArcTan[(Sqrt[b]*x)/Sqrt[a]]^2 + Sqrt[a]*Log[a + b*
x^2] + Sqrt[b]*x*ArcTan[(Sqrt[b]*x)/Sqrt[a]]*(-2 + 2*Log[(2*Sqrt[a])/(Sqrt[a] + I*Sqrt[b]*x)] + Log[a + b*x^2]
) + I*Sqrt[b]*x*PolyLog[2, (I*Sqrt[a] + Sqrt[b]*x)/((-I)*Sqrt[a] + Sqrt[b]*x)])) + p^3*(48*a*b*x^2*Sqrt[(b*x^2
)/(a + b*x^2)]*HypergeometricPFQ[{1/2, 1/2, 1/2, 1/2}, {3/2, 3/2, 3/2}, a/(a + b*x^2)] + 24*Sqrt[-a]*(b*x^2)^(
3/2)*ArcTanh[Sqrt[b*x^2]/Sqrt[-a]]*Log[a + b*x^2] + 24*a*b*x^2*Sqrt[(b*x^2)/(a + b*x^2)]*HypergeometricPFQ[{1/
2, 1/2, 1/2}, {3/2, 3/2}, a/(a + b*x^2)]*Log[a + b*x^2] - 6*a*b*x^2*Log[a + b*x^2]^2 + 6*Sqrt[a]*((b*x^2)/(a +
b*x^2))^(3/2)*(a + b*x^2)^(3/2)*ArcSin[Sqrt[a]/Sqrt[a + b*x^2]]*Log[a + b*x^2]^2 - a^2*Log[a + b*x^2]^3 - 24*
Sqrt[-a]*(b*x^2)^(3/2)*ArcTanh[Sqrt[b*x^2]/Sqrt[-a]]*Log[1 + (b*x^2)/a] - 6*a^2*(-((b*x^2)/a))^(3/2)*Log[1 + (
b*x^2)/a]^2 + 24*a^2*(-((b*x^2)/a))^(3/2)*Log[1 + (b*x^2)/a]*Log[(1 + Sqrt[-((b*x^2)/a)])/2] - 12*a^2*(-((b*x^
2)/a))^(3/2)*Log[(1 + Sqrt[-((b*x^2)/a)])/2]^2 + 24*a^2*(-((b*x^2)/a))^(3/2)*PolyLog[2, 1/2 - Sqrt[-((b*x^2)/a
)]/2]))/(3*a^2*x^3)

Integral number [158] \[ \int (f x)^m \log ^3\left (c \left (d+e x^2\right )^p\right ) \, dx \]

[B]   time = 3.10054 (sec), size = 994 ,normalized size = 49.7 \[ \frac {(f x)^m \left ((1+m) p^3 x^2 \log ^3\left (d+e x^2\right )+\frac {6 p^3 \left (-\frac {e x^2}{d}\right )^{\frac {1-m}{2}} \left (-\left ((1+m) \left (d+e x^2\right ) \, _4F_3\left (1,1,1,\frac {1}{2}-\frac {m}{2};2,2,2;1+\frac {e x^2}{d}\right )\right )+(1+m) \left (d+e x^2\right ) \, _3F_2\left (1,1,\frac {1}{2}-\frac {m}{2};2,2;1+\frac {e x^2}{d}\right ) \log \left (d+e x^2\right )+d \left (-1+\left (-\frac {e x^2}{d}\right )^{\frac {1+m}{2}}\right ) \log ^2\left (d+e x^2\right )\right )}{e}+\frac {6 d (1+m) p^3 \left (\frac {e x^2}{d+e x^2}\right )^{\frac {1}{2}-\frac {m}{2}} \left (8 \, _4F_3\left (\frac {1}{2}-\frac {m}{2},\frac {1}{2}-\frac {m}{2},\frac {1}{2}-\frac {m}{2},\frac {1}{2}-\frac {m}{2};\frac {3}{2}-\frac {m}{2},\frac {3}{2}-\frac {m}{2},\frac {3}{2}-\frac {m}{2};\frac {d}{d+e x^2}\right )+(-1+m) \log \left (d+e x^2\right ) \left (-4 \, _3F_2\left (\frac {1}{2}-\frac {m}{2},\frac {1}{2}-\frac {m}{2},\frac {1}{2}-\frac {m}{2};\frac {3}{2}-\frac {m}{2},\frac {3}{2}-\frac {m}{2};\frac {d}{d+e x^2}\right )+(-1+m) \operatorname {Hypergeometric2F1}\left (\frac {1}{2}-\frac {m}{2},\frac {1}{2}-\frac {m}{2},\frac {3}{2}-\frac {m}{2},\frac {d}{d+e x^2}\right ) \log \left (d+e x^2\right )\right )\right )}{e (-1+m)^3}-\frac {3 p^2 \left (-\frac {e x^2}{d}\right )^{\frac {1-m}{2}} \left (-\left ((1+m) \left (d+e x^2\right ) \, _4F_3\left (1,1,1,\frac {1}{2}-\frac {m}{2};2,2,2;1+\frac {e x^2}{d}\right )\right )+(1+m) \left (d+e x^2\right ) \, _3F_2\left (1,1,\frac {1}{2}-\frac {m}{2};2,2;1+\frac {e x^2}{d}\right ) \log \left (d+e x^2\right )+d \left (-1+\left (-\frac {e x^2}{d}\right )^{\frac {1+m}{2}}\right ) \log ^2\left (d+e x^2\right )\right ) \left (-p \log \left (d+e x^2\right )+\log \left (c \left (d+e x^2\right )^p\right )\right )}{e}-\frac {3 m p^2 \left (-\frac {e x^2}{d}\right )^{\frac {1-m}{2}} \left (-\left ((1+m) \left (d+e x^2\right ) \, _4F_3\left (1,1,1,\frac {1}{2}-\frac {m}{2};2,2,2;1+\frac {e x^2}{d}\right )\right )+(1+m) \left (d+e x^2\right ) \, _3F_2\left (1,1,\frac {1}{2}-\frac {m}{2};2,2;1+\frac {e x^2}{d}\right ) \log \left (d+e x^2\right )+d \left (-1+\left (-\frac {e x^2}{d}\right )^{\frac {1+m}{2}}\right ) \log ^2\left (d+e x^2\right )\right ) \left (-p \log \left (d+e x^2\right )+\log \left (c \left (d+e x^2\right )^p\right )\right )}{e}+\frac {3 p x^2 \left (-2 e x^2 \operatorname {Hypergeometric2F1}\left (1,\frac {3+m}{2},\frac {5+m}{2},-\frac {e x^2}{d}\right )+d (3+m) \log \left (d+e x^2\right )\right ) \left (-p \log \left (d+e x^2\right )+\log \left (c \left (d+e x^2\right )^p\right )\right )^2}{d (3+m)}+\frac {3 m p x^2 \left (-2 e x^2 \operatorname {Hypergeometric2F1}\left (1,\frac {3+m}{2},\frac {5+m}{2},-\frac {e x^2}{d}\right )+d (3+m) \log \left (d+e x^2\right )\right ) \left (-p \log \left (d+e x^2\right )+\log \left (c \left (d+e x^2\right )^p\right )\right )^2}{d (3+m)}+x^2 \left (-p \log \left (d+e x^2\right )+\log \left (c \left (d+e x^2\right )^p\right )\right )^3+m x^2 \left (-p \log \left (d+e x^2\right )+\log \left (c \left (d+e x^2\right )^p\right )\right )^3\right )}{(1+m)^2 x} \]

[In]

Integrate[(f*x)^m*Log[c*(d + e*x^2)^p]^3,x]

[Out]

((f*x)^m*((1 + m)*p^3*x^2*Log[d + e*x^2]^3 + (6*p^3*(-((e*x^2)/d))^((1 - m)/2)*(-((1 + m)*(d + e*x^2)*Hypergeo
metricPFQ[{1, 1, 1, 1/2 - m/2}, {2, 2, 2}, 1 + (e*x^2)/d]) + (1 + m)*(d + e*x^2)*HypergeometricPFQ[{1, 1, 1/2
- m/2}, {2, 2}, 1 + (e*x^2)/d]*Log[d + e*x^2] + d*(-1 + (-((e*x^2)/d))^((1 + m)/2))*Log[d + e*x^2]^2))/e + (6*
d*(1 + m)*p^3*((e*x^2)/(d + e*x^2))^(1/2 - m/2)*(8*HypergeometricPFQ[{1/2 - m/2, 1/2 - m/2, 1/2 - m/2, 1/2 - m
/2}, {3/2 - m/2, 3/2 - m/2, 3/2 - m/2}, d/(d + e*x^2)] + (-1 + m)*Log[d + e*x^2]*(-4*HypergeometricPFQ[{1/2 -
m/2, 1/2 - m/2, 1/2 - m/2}, {3/2 - m/2, 3/2 - m/2}, d/(d + e*x^2)] + (-1 + m)*Hypergeometric2F1[1/2 - m/2, 1/2
- m/2, 3/2 - m/2, d/(d + e*x^2)]*Log[d + e*x^2])))/(e*(-1 + m)^3) - (3*p^2*(-((e*x^2)/d))^((1 - m)/2)*(-((1 +
m)*(d + e*x^2)*HypergeometricPFQ[{1, 1, 1, 1/2 - m/2}, {2, 2, 2}, 1 + (e*x^2)/d]) + (1 + m)*(d + e*x^2)*Hyper
geometricPFQ[{1, 1, 1/2 - m/2}, {2, 2}, 1 + (e*x^2)/d]*Log[d + e*x^2] + d*(-1 + (-((e*x^2)/d))^((1 + m)/2))*Lo
g[d + e*x^2]^2)*(-(p*Log[d + e*x^2]) + Log[c*(d + e*x^2)^p]))/e - (3*m*p^2*(-((e*x^2)/d))^((1 - m)/2)*(-((1 +
m)*(d + e*x^2)*HypergeometricPFQ[{1, 1, 1, 1/2 - m/2}, {2, 2, 2}, 1 + (e*x^2)/d]) + (1 + m)*(d + e*x^2)*Hyperg
eometricPFQ[{1, 1, 1/2 - m/2}, {2, 2}, 1 + (e*x^2)/d]*Log[d + e*x^2] + d*(-1 + (-((e*x^2)/d))^((1 + m)/2))*Log
[d + e*x^2]^2)*(-(p*Log[d + e*x^2]) + Log[c*(d + e*x^2)^p]))/e + (3*p*x^2*(-2*e*x^2*Hypergeometric2F1[1, (3 +
m)/2, (5 + m)/2, -((e*x^2)/d)] + d*(3 + m)*Log[d + e*x^2])*(-(p*Log[d + e*x^2]) + Log[c*(d + e*x^2)^p])^2)/(d*
(3 + m)) + (3*m*p*x^2*(-2*e*x^2*Hypergeometric2F1[1, (3 + m)/2, (5 + m)/2, -((e*x^2)/d)] + d*(3 + m)*Log[d + e
*x^2])*(-(p*Log[d + e*x^2]) + Log[c*(d + e*x^2)^p])^2)/(d*(3 + m)) + x^2*(-(p*Log[d + e*x^2]) + Log[c*(d + e*x
^2)^p])^3 + m*x^2*(-(p*Log[d + e*x^2]) + Log[c*(d + e*x^2)^p])^3))/((1 + m)^2*x)

Integral number [159] \[ \int (f x)^m \log ^2\left (c \left (d+e x^2\right )^p\right ) \, dx \]

[B]   time = 0.902869 (sec), size = 466 ,normalized size = 23.3 \[ \frac {(f x)^m \left (4 p^2 x \left (\frac {2 e x^2 \operatorname {Hypergeometric2F1}\left (1,\frac {3+m}{2},\frac {5+m}{2},-\frac {e x^2}{d}\right )}{d (3+m)}-\log \left (d+e x^2\right )\right )+(1+m) p^2 x \log ^2\left (d+e x^2\right )+\frac {4 d (1+m) p^2 \left (\frac {e x^2}{d+e x^2}\right )^{\frac {1}{2}-\frac {m}{2}} \left (-2 \, _3F_2\left (\frac {1}{2}-\frac {m}{2},\frac {1}{2}-\frac {m}{2},\frac {1}{2}-\frac {m}{2};\frac {3}{2}-\frac {m}{2},\frac {3}{2}-\frac {m}{2};\frac {d}{d+e x^2}\right )+(-1+m) \operatorname {Hypergeometric2F1}\left (\frac {1}{2}-\frac {m}{2},\frac {1}{2}-\frac {m}{2},\frac {3}{2}-\frac {m}{2},\frac {d}{d+e x^2}\right ) \log \left (d+e x^2\right )\right )}{e (-1+m)^2 x}+\frac {2 p \left (2 e x^3 \operatorname {Hypergeometric2F1}\left (1,\frac {3+m}{2},\frac {5+m}{2},-\frac {e x^2}{d}\right )-d (3+m) x \log \left (d+e x^2\right )\right ) \left (p \log \left (d+e x^2\right )-\log \left (c \left (d+e x^2\right )^p\right )\right )}{d (3+m)}-\frac {2 m p \left (-2 e x^3 \operatorname {Hypergeometric2F1}\left (1,\frac {3+m}{2},\frac {5+m}{2},-\frac {e x^2}{d}\right )+d (3+m) x \log \left (d+e x^2\right )\right ) \left (p \log \left (d+e x^2\right )-\log \left (c \left (d+e x^2\right )^p\right )\right )}{d (3+m)}+x \left (-p \log \left (d+e x^2\right )+\log \left (c \left (d+e x^2\right )^p\right )\right )^2+m x \left (-p \log \left (d+e x^2\right )+\log \left (c \left (d+e x^2\right )^p\right )\right )^2\right )}{(1+m)^2} \]

[In]

Integrate[(f*x)^m*Log[c*(d + e*x^2)^p]^2,x]

[Out]

((f*x)^m*(4*p^2*x*((2*e*x^2*Hypergeometric2F1[1, (3 + m)/2, (5 + m)/2, -((e*x^2)/d)])/(d*(3 + m)) - Log[d + e*
x^2]) + (1 + m)*p^2*x*Log[d + e*x^2]^2 + (4*d*(1 + m)*p^2*((e*x^2)/(d + e*x^2))^(1/2 - m/2)*(-2*Hypergeometric
PFQ[{1/2 - m/2, 1/2 - m/2, 1/2 - m/2}, {3/2 - m/2, 3/2 - m/2}, d/(d + e*x^2)] + (-1 + m)*Hypergeometric2F1[1/2
- m/2, 1/2 - m/2, 3/2 - m/2, d/(d + e*x^2)]*Log[d + e*x^2]))/(e*(-1 + m)^2*x) + (2*p*(2*e*x^3*Hypergeometric2
F1[1, (3 + m)/2, (5 + m)/2, -((e*x^2)/d)] - d*(3 + m)*x*Log[d + e*x^2])*(p*Log[d + e*x^2] - Log[c*(d + e*x^2)^
p]))/(d*(3 + m)) - (2*m*p*(-2*e*x^3*Hypergeometric2F1[1, (3 + m)/2, (5 + m)/2, -((e*x^2)/d)] + d*(3 + m)*x*Log
[d + e*x^2])*(p*Log[d + e*x^2] - Log[c*(d + e*x^2)^p]))/(d*(3 + m)) + x*(-(p*Log[d + e*x^2]) + Log[c*(d + e*x^
2)^p])^2 + m*x*(-(p*Log[d + e*x^2]) + Log[c*(d + e*x^2)^p])^2))/(1 + m)^2

Integral number [277] \[ \int \left (f+g x^2\right ) \log ^3\left (c \left (d+e x^2\right )^p\right ) \, dx \]

[B]   time = 12.9792 (sec), size = 1772 ,normalized size = 80.55 \[ \text {result too large to display} \]

[In]

Integrate[(f + g*x^2)*Log[c*(d + e*x^2)^p]^3,x]

[Out]

(2*d*g*p*x*(-(p*Log[d + e*x^2]) + Log[c*(d + e*x^2)^p])^2)/e + (6*Sqrt[d]*f*p*ArcTan[(Sqrt[e]*x)/Sqrt[d]]*(-(p
*Log[d + e*x^2]) + Log[c*(d + e*x^2)^p])^2)/Sqrt[e] - (2*d^(3/2)*g*p*ArcTan[(Sqrt[e]*x)/Sqrt[d]]*(-(p*Log[d +
e*x^2]) + Log[c*(d + e*x^2)^p])^2)/e^(3/2) + 3*f*p*x*Log[d + e*x^2]*(-(p*Log[d + e*x^2]) + Log[c*(d + e*x^2)^p
])^2 + g*p*x^3*Log[d + e*x^2]*(-(p*Log[d + e*x^2]) + Log[c*(d + e*x^2)^p])^2 + f*x*(-(p*Log[d + e*x^2]) + Log[
c*(d + e*x^2)^p])^2*(-6*p - p*Log[d + e*x^2] + Log[c*(d + e*x^2)^p]) + (g*x^3*(-(p*Log[d + e*x^2]) + Log[c*(d
+ e*x^2)^p])^2*(-2*p - p*Log[d + e*x^2] + Log[c*(d + e*x^2)^p]))/3 + 3*f*p^2*(-(p*Log[d + e*x^2]) + Log[c*(d +
e*x^2)^p])*(x*Log[d + e*x^2]^2 - (4*((-I)*Sqrt[d]*ArcTan[(Sqrt[e]*x)/Sqrt[d]]^2 + Sqrt[e]*x*(-2 + Log[d + e*x
^2]) - Sqrt[d]*ArcTan[(Sqrt[e]*x)/Sqrt[d]]*(-2 + 2*Log[(2*Sqrt[d])/(Sqrt[d] + I*Sqrt[e]*x)] + Log[d + e*x^2])
- I*Sqrt[d]*PolyLog[2, (I*Sqrt[d] + Sqrt[e]*x)/((-I)*Sqrt[d] + Sqrt[e]*x)]))/Sqrt[e]) + 3*g*p^2*(-(p*Log[d + e
*x^2]) + Log[c*(d + e*x^2)^p])*((x^3*Log[d + e*x^2]^2)/3 - (4*((9*I)*d^(3/2)*ArcTan[(Sqrt[e]*x)/Sqrt[d]]^2 + 3
*d^(3/2)*ArcTan[(Sqrt[e]*x)/Sqrt[d]]*(-8 + 6*Log[(2*Sqrt[d])/(Sqrt[d] + I*Sqrt[e]*x)] + 3*Log[d + e*x^2]) + Sq
rt[e]*x*(24*d - 2*e*x^2 + (-9*d + 3*e*x^2)*Log[d + e*x^2]) + (9*I)*d^(3/2)*PolyLog[2, (I*Sqrt[d] + Sqrt[e]*x)/
((-I)*Sqrt[d] + Sqrt[e]*x)]))/(27*e^(3/2))) + (g*p^3*(416*Sqrt[-d]*d^(3/2)*Sqrt[d + e*x^2]*Sqrt[1 - d/(d + e*x
^2)]*ArcSin[Sqrt[d]/Sqrt[d + e*x^2]] + 36*Sqrt[-d]*d^(3/2)*Sqrt[1 - d/(d + e*x^2)]*(8*Sqrt[d]*HypergeometricPF
Q[{1/2, 1/2, 1/2, 1/2}, {3/2, 3/2, 3/2}, d/(d + e*x^2)] + 4*Sqrt[d]*HypergeometricPFQ[{1/2, 1/2, 1/2}, {3/2, 3
/2}, d/(d + e*x^2)]*Log[d + e*x^2] + Sqrt[d + e*x^2]*ArcSin[Sqrt[d]/Sqrt[d + e*x^2]]*Log[d + e*x^2]^2) - (2*Sq
rt[-d]*e*x^2*((d + e*x^2)*(16 - 24*Log[d + e*x^2] + 18*Log[d + e*x^2]^2 - 9*Log[d + e*x^2]^3) + d*(-640 + 312*
Log[d + e*x^2] - 72*Log[d + e*x^2]^2 + 9*Log[d + e*x^2]^3)))/3 - 48*d^2*(4*Sqrt[e*x^2]*ArcTanh[Sqrt[e*x^2]/Sqr
t[-d]]*(Log[d + e*x^2] - Log[(d + e*x^2)/d]) - Sqrt[-d]*Sqrt[1 - (d + e*x^2)/d]*(Log[(d + e*x^2)/d]^2 - 4*Log[
(d + e*x^2)/d]*Log[(1 + Sqrt[1 - (d + e*x^2)/d])/2] + 2*Log[(1 + Sqrt[1 - (d + e*x^2)/d])/2]^2 - 4*PolyLog[2,
1/2 - Sqrt[1 - (d + e*x^2)/d]/2]))))/(18*Sqrt[-d]*e^2*x) + (f*p^3*(-48*Sqrt[-d^2]*Sqrt[d + e*x^2]*Sqrt[1 - d/(
d + e*x^2)]*ArcSin[Sqrt[d]/Sqrt[d + e*x^2]] - 6*Sqrt[-d^2]*Sqrt[1 - d/(d + e*x^2)]*(8*Sqrt[d]*HypergeometricPF
Q[{1/2, 1/2, 1/2, 1/2}, {3/2, 3/2, 3/2}, d/(d + e*x^2)] + 4*Sqrt[d]*HypergeometricPFQ[{1/2, 1/2, 1/2}, {3/2, 3
/2}, d/(d + e*x^2)]*Log[d + e*x^2] + Sqrt[d + e*x^2]*ArcSin[Sqrt[d]/Sqrt[d + e*x^2]]*Log[d + e*x^2]^2) + Sqrt[
-d]*e*x^2*(-48 + 24*Log[d + e*x^2] - 6*Log[d + e*x^2]^2 + Log[d + e*x^2]^3) + 24*d*Sqrt[e*x^2]*ArcTanh[Sqrt[e*
x^2]/Sqrt[-d]]*(Log[d + e*x^2] - Log[(d + e*x^2)/d]) + 6*(-d)^(3/2)*Sqrt[1 - (d + e*x^2)/d]*(Log[(d + e*x^2)/d
]^2 - 4*Log[(d + e*x^2)/d]*Log[(1 + Sqrt[1 - (d + e*x^2)/d])/2] + 2*Log[(1 + Sqrt[1 - (d + e*x^2)/d])/2]^2 - 4
*PolyLog[2, 1/2 - Sqrt[1 - (d + e*x^2)/d]/2])))/(Sqrt[-d]*e*x)

Integral number [298] \[ \int \left (f+g x^3\right )^2 \log ^3\left (c \left (d+e x^2\right )^p\right ) \, dx \]

[B]   time = 10.9614 (sec), size = 2385 ,normalized size = 99.38 \[ \text {Result too large to show} \]

[In]

Integrate[(f + g*x^3)^2*Log[c*(d + e*x^2)^p]^3,x]

[Out]

(f*g*p^3*(d + e*x^2)*(-8*d*(-6 + 6*Log[d + e*x^2] - 3*Log[d + e*x^2]^2 + Log[d + e*x^2]^3) + (d + e*x^2)*(-3 +
6*Log[d + e*x^2] - 6*Log[d + e*x^2]^2 + 4*Log[d + e*x^2]^3)))/(8*e^2) + 6*f*g*p^2*((x^4*Log[d + e*x^2]^2)/4 -
e*((3*d*x^2)/(4*e^2) - x^4/(8*e) - (3*d^2*Log[d + e*x^2])/(4*e^3) - (d*x^2*Log[d + e*x^2])/(2*e^2) + (x^4*Log
[d + e*x^2])/(4*e) + (d^2*Log[d + e*x^2]^2)/(4*e^3)))*(-(p*Log[d + e*x^2]) + Log[c*(d + e*x^2)^p]) + (3*d*f*g*
p*x^2*(-(p*Log[d + e*x^2]) + Log[c*(d + e*x^2)^p])^2)/(2*e) - (2*d^2*g^2*p*x^3*(-(p*Log[d + e*x^2]) + Log[c*(d
+ e*x^2)^p])^2)/(7*e^2) + (6*d*g^2*p*x^5*(-(p*Log[d + e*x^2]) + Log[c*(d + e*x^2)^p])^2)/(35*e) - (3*d^2*f*g*
p*Log[d + e*x^2]*(-(p*Log[d + e*x^2]) + Log[c*(d + e*x^2)^p])^2)/(2*e^2) + (3*p*x*(14*f^2 + 7*f*g*x^3 + 2*g^2*
x^6)*Log[d + e*x^2]*(-(p*Log[d + e*x^2]) + Log[c*(d + e*x^2)^p])^2)/14 + (f*g*x^4*(-(p*Log[d + e*x^2]) + Log[c
*(d + e*x^2)^p])^2*(-3*p + 2*(-(p*Log[d + e*x^2]) + Log[c*(d + e*x^2)^p])))/4 + (g^2*x^7*(-(p*Log[d + e*x^2])
+ Log[c*(d + e*x^2)^p])^2*(-6*p + 7*(-(p*Log[d + e*x^2]) + Log[c*(d + e*x^2)^p])))/49 + (x*(-(p*Log[d + e*x^2]
) + Log[c*(d + e*x^2)^p])^2*(-42*e^3*f^2*p + 6*d^3*g^2*p + 7*e^3*f^2*(-(p*Log[d + e*x^2]) + Log[c*(d + e*x^2)^
p])))/(7*e^3) - (6*ArcTan[(Sqrt[e]*x)/Sqrt[d]]*(-7*d*e^3*f^2*p*(-(p*Log[d + e*x^2]) + Log[c*(d + e*x^2)^p])^2
+ d^4*g^2*p*(-(p*Log[d + e*x^2]) + Log[c*(d + e*x^2)^p])^2))/(7*Sqrt[d]*e^(7/2)) + 3*f^2*p^2*(-(p*Log[d + e*x^
2]) + Log[c*(d + e*x^2)^p])*(x*Log[d + e*x^2]^2 - (4*((-I)*Sqrt[d]*ArcTan[(Sqrt[e]*x)/Sqrt[d]]^2 + Sqrt[e]*x*(
-2 + Log[d + e*x^2]) - Sqrt[d]*ArcTan[(Sqrt[e]*x)/Sqrt[d]]*(-2 + 2*Log[(2*Sqrt[d])/(Sqrt[d] + I*Sqrt[e]*x)] +
Log[d + e*x^2]) - I*Sqrt[d]*PolyLog[2, (I*Sqrt[d] + Sqrt[e]*x)/((-I)*Sqrt[d] + Sqrt[e]*x)]))/Sqrt[e]) + 3*g^2*
p^2*(-(p*Log[d + e*x^2]) + Log[c*(d + e*x^2)^p])*((x^7*Log[d + e*x^2]^2)/7 - (4*((11025*I)*d^(7/2)*ArcTan[(Sqr
t[e]*x)/Sqrt[d]]^2 + 105*d^(7/2)*ArcTan[(Sqrt[e]*x)/Sqrt[d]]*(-352 + 210*Log[(2*Sqrt[d])/(Sqrt[d] + I*Sqrt[e]*
x)] + 105*Log[d + e*x^2]) + Sqrt[e]*x*(36960*d^3 - 4970*d^2*e*x^2 + 1512*d*e^2*x^4 - 450*e^3*x^6 - 105*(105*d^
3 - 35*d^2*e*x^2 + 21*d*e^2*x^4 - 15*e^3*x^6)*Log[d + e*x^2]) + (11025*I)*d^(7/2)*PolyLog[2, (I*Sqrt[d] + Sqrt
[e]*x)/((-I)*Sqrt[d] + Sqrt[e]*x)]))/(77175*e^(7/2))) + (g^2*p^3*(702272*Sqrt[-d]*d^(7/2)*Sqrt[d + e*x^2]*Sqrt
[1 - d/(d + e*x^2)]*ArcSin[Sqrt[d]/Sqrt[d + e*x^2]] + 44100*Sqrt[-d]*d^(7/2)*Sqrt[1 - d/(d + e*x^2)]*(8*Sqrt[d
]*HypergeometricPFQ[{1/2, 1/2, 1/2, 1/2}, {3/2, 3/2, 3/2}, d/(d + e*x^2)] + 4*Sqrt[d]*HypergeometricPFQ[{1/2,
1/2, 1/2}, {3/2, 3/2}, d/(d + e*x^2)]*Log[d + e*x^2] + Sqrt[d + e*x^2]*ArcSin[Sqrt[d]/Sqrt[d + e*x^2]]*Log[d +
e*x^2]^2) - (2*Sqrt[-d]*e*x^2*(-1125*(d + e*x^2)^3*(-48 + 168*Log[d + e*x^2] - 294*Log[d + e*x^2]^2 + 343*Log
[d + e*x^2]^3) + 27*d*(d + e*x^2)^2*(-18208 + 44520*Log[d + e*x^2] - 53900*Log[d + e*x^2]^2 + 42875*Log[d + e*
x^2]^3) + d^3*(-39193856 + 18434640*Log[d + e*x^2] - 3880800*Log[d + e*x^2]^2 + 385875*Log[d + e*x^2]^3) - d^2
*(d + e*x^2)*(-2762192 + 3924480*Log[d + e*x^2] - 2690100*Log[d + e*x^2]^2 + 1157625*Log[d + e*x^2]^3)))/105 -
73920*d^4*(4*Sqrt[e*x^2]*ArcTanh[Sqrt[e*x^2]/Sqrt[-d]]*(Log[d + e*x^2] - Log[(d + e*x^2)/d]) - Sqrt[-d]*Sqrt[
1 - (d + e*x^2)/d]*(Log[(d + e*x^2)/d]^2 - 4*Log[(d + e*x^2)/d]*Log[(1 + Sqrt[1 - (d + e*x^2)/d])/2] + 2*Log[(
1 + Sqrt[1 - (d + e*x^2)/d])/2]^2 - 4*PolyLog[2, 1/2 - Sqrt[1 - (d + e*x^2)/d]/2]))))/(51450*Sqrt[-d]*e^4*x) +
(f^2*p^3*(-48*Sqrt[-d^2]*Sqrt[d + e*x^2]*Sqrt[1 - d/(d + e*x^2)]*ArcSin[Sqrt[d]/Sqrt[d + e*x^2]] - 6*Sqrt[-d^
2]*Sqrt[1 - d/(d + e*x^2)]*(8*Sqrt[d]*HypergeometricPFQ[{1/2, 1/2, 1/2, 1/2}, {3/2, 3/2, 3/2}, d/(d + e*x^2)]
+ 4*Sqrt[d]*HypergeometricPFQ[{1/2, 1/2, 1/2}, {3/2, 3/2}, d/(d + e*x^2)]*Log[d + e*x^2] + Sqrt[d + e*x^2]*Arc
Sin[Sqrt[d]/Sqrt[d + e*x^2]]*Log[d + e*x^2]^2) + Sqrt[-d]*e*x^2*(-48 + 24*Log[d + e*x^2] - 6*Log[d + e*x^2]^2
+ Log[d + e*x^2]^3) + 24*d*Sqrt[e*x^2]*ArcTanh[Sqrt[e*x^2]/Sqrt[-d]]*(Log[d + e*x^2] - Log[(d + e*x^2)/d]) + 6
*(-d)^(3/2)*Sqrt[1 - (d + e*x^2)/d]*(Log[(d + e*x^2)/d]^2 - 4*Log[(d + e*x^2)/d]*Log[(1 + Sqrt[1 - (d + e*x^2)
/d])/2] + 2*Log[(1 + Sqrt[1 - (d + e*x^2)/d])/2]^2 - 4*PolyLog[2, 1/2 - Sqrt[1 - (d + e*x^2)/d]/2])))/(Sqrt[-d
]*e*x)

Integral number [299] \[ \int \left (f+g x^3\right ) \log ^3\left (c \left (d+e x^2\right )^p\right ) \, dx \]

[B]   time = 2.33873 (sec), size = 1051 ,normalized size = 47.77 \[ \frac {1}{4} g x^4 \log ^3\left (c \left (d+e x^2\right )^p\right )+\frac {6 \sqrt {d} f p \arctan \left (\frac {\sqrt {e} x}{\sqrt {d}}\right ) \left (-p \log \left (d+e x^2\right )+\log \left (c \left (d+e x^2\right )^p\right )\right )^2}{\sqrt {e}}+3 f p x \log \left (d+e x^2\right ) \left (-p \log \left (d+e x^2\right )+\log \left (c \left (d+e x^2\right )^p\right )\right )^2+f x \left (-p \log \left (d+e x^2\right )+\log \left (c \left (d+e x^2\right )^p\right )\right )^2 \left (-6 p-p \log \left (d+e x^2\right )+\log \left (c \left (d+e x^2\right )^p\right )\right )-\frac {3}{4} g p \left (-\frac {7 d p^2 x^2}{2 e}+\frac {p^2 x^4}{4}+\frac {d^2 p^2 \log \left (d+e x^2\right )}{2 e^2}+\frac {3 d^2 p \log \left (c \left (d+e x^2\right )^p\right )}{e^2}+\frac {3 d p x^2 \log \left (c \left (d+e x^2\right )^p\right )}{e}-\frac {1}{2} p x^4 \log \left (c \left (d+e x^2\right )^p\right )-\frac {3 d^2 \log ^2\left (c \left (d+e x^2\right )^p\right )}{2 e^2}-\frac {d x^2 \log ^2\left (c \left (d+e x^2\right )^p\right )}{e}+\frac {1}{2} x^4 \log ^2\left (c \left (d+e x^2\right )^p\right )+\frac {d^2 \log ^3\left (c \left (d+e x^2\right )^p\right )}{3 e^2 p}\right )+3 f p^2 \left (-p \log \left (d+e x^2\right )+\log \left (c \left (d+e x^2\right )^p\right )\right ) \left (x \log ^2\left (d+e x^2\right )-\frac {4 \left (-i \sqrt {d} \arctan \left (\frac {\sqrt {e} x}{\sqrt {d}}\right )^2+\sqrt {e} x \left (-2+\log \left (d+e x^2\right )\right )-\sqrt {d} \arctan \left (\frac {\sqrt {e} x}{\sqrt {d}}\right ) \left (-2+2 \log \left (\frac {2 \sqrt {d}}{\sqrt {d}+i \sqrt {e} x}\right )+\log \left (d+e x^2\right )\right )-i \sqrt {d} \operatorname {PolyLog}\left (2,\frac {i \sqrt {d}+\sqrt {e} x}{-i \sqrt {d}+\sqrt {e} x}\right )\right )}{\sqrt {e}}\right )+\frac {f p^3 \left (-48 \sqrt {-d^2} \sqrt {d+e x^2} \sqrt {1-\frac {d}{d+e x^2}} \arcsin \left (\frac {\sqrt {d}}{\sqrt {d+e x^2}}\right )-6 \sqrt {-d^2} \sqrt {1-\frac {d}{d+e x^2}} \left (8 \sqrt {d} \, _4F_3\left (\frac {1}{2},\frac {1}{2},\frac {1}{2},\frac {1}{2};\frac {3}{2},\frac {3}{2},\frac {3}{2};\frac {d}{d+e x^2}\right )+4 \sqrt {d} \, _3F_2\left (\frac {1}{2},\frac {1}{2},\frac {1}{2};\frac {3}{2},\frac {3}{2};\frac {d}{d+e x^2}\right ) \log \left (d+e x^2\right )+\sqrt {d+e x^2} \arcsin \left (\frac {\sqrt {d}}{\sqrt {d+e x^2}}\right ) \log ^2\left (d+e x^2\right )\right )+\sqrt {-d} e x^2 \left (-48+24 \log \left (d+e x^2\right )-6 \log ^2\left (d+e x^2\right )+\log ^3\left (d+e x^2\right )\right )+24 d \sqrt {e x^2} \text {arctanh}\left (\frac {\sqrt {e x^2}}{\sqrt {-d}}\right ) \left (\log \left (d+e x^2\right )-\log \left (\frac {d+e x^2}{d}\right )\right )+6 (-d)^{3/2} \sqrt {1-\frac {d+e x^2}{d}} \left (\log ^2\left (\frac {d+e x^2}{d}\right )-4 \log \left (\frac {d+e x^2}{d}\right ) \log \left (\frac {1}{2} \left (1+\sqrt {1-\frac {d+e x^2}{d}}\right )\right )+2 \log ^2\left (\frac {1}{2} \left (1+\sqrt {1-\frac {d+e x^2}{d}}\right )\right )-4 \operatorname {PolyLog}\left (2,\frac {1}{2}-\frac {1}{2} \sqrt {1-\frac {d+e x^2}{d}}\right )\right )\right )}{\sqrt {-d} e x} \]

[In]

Integrate[(f + g*x^3)*Log[c*(d + e*x^2)^p]^3,x]

[Out]

(g*x^4*Log[c*(d + e*x^2)^p]^3)/4 + (6*Sqrt[d]*f*p*ArcTan[(Sqrt[e]*x)/Sqrt[d]]*(-(p*Log[d + e*x^2]) + Log[c*(d
+ e*x^2)^p])^2)/Sqrt[e] + 3*f*p*x*Log[d + e*x^2]*(-(p*Log[d + e*x^2]) + Log[c*(d + e*x^2)^p])^2 + f*x*(-(p*Log
[d + e*x^2]) + Log[c*(d + e*x^2)^p])^2*(-6*p - p*Log[d + e*x^2] + Log[c*(d + e*x^2)^p]) - (3*g*p*((-7*d*p^2*x^
2)/(2*e) + (p^2*x^4)/4 + (d^2*p^2*Log[d + e*x^2])/(2*e^2) + (3*d^2*p*Log[c*(d + e*x^2)^p])/e^2 + (3*d*p*x^2*Lo
g[c*(d + e*x^2)^p])/e - (p*x^4*Log[c*(d + e*x^2)^p])/2 - (3*d^2*Log[c*(d + e*x^2)^p]^2)/(2*e^2) - (d*x^2*Log[c
*(d + e*x^2)^p]^2)/e + (x^4*Log[c*(d + e*x^2)^p]^2)/2 + (d^2*Log[c*(d + e*x^2)^p]^3)/(3*e^2*p)))/4 + 3*f*p^2*(
-(p*Log[d + e*x^2]) + Log[c*(d + e*x^2)^p])*(x*Log[d + e*x^2]^2 - (4*((-I)*Sqrt[d]*ArcTan[(Sqrt[e]*x)/Sqrt[d]]
^2 + Sqrt[e]*x*(-2 + Log[d + e*x^2]) - Sqrt[d]*ArcTan[(Sqrt[e]*x)/Sqrt[d]]*(-2 + 2*Log[(2*Sqrt[d])/(Sqrt[d] +
I*Sqrt[e]*x)] + Log[d + e*x^2]) - I*Sqrt[d]*PolyLog[2, (I*Sqrt[d] + Sqrt[e]*x)/((-I)*Sqrt[d] + Sqrt[e]*x)]))/S
qrt[e]) + (f*p^3*(-48*Sqrt[-d^2]*Sqrt[d + e*x^2]*Sqrt[1 - d/(d + e*x^2)]*ArcSin[Sqrt[d]/Sqrt[d + e*x^2]] - 6*S
qrt[-d^2]*Sqrt[1 - d/(d + e*x^2)]*(8*Sqrt[d]*HypergeometricPFQ[{1/2, 1/2, 1/2, 1/2}, {3/2, 3/2, 3/2}, d/(d + e
*x^2)] + 4*Sqrt[d]*HypergeometricPFQ[{1/2, 1/2, 1/2}, {3/2, 3/2}, d/(d + e*x^2)]*Log[d + e*x^2] + Sqrt[d + e*x
^2]*ArcSin[Sqrt[d]/Sqrt[d + e*x^2]]*Log[d + e*x^2]^2) + Sqrt[-d]*e*x^2*(-48 + 24*Log[d + e*x^2] - 6*Log[d + e*
x^2]^2 + Log[d + e*x^2]^3) + 24*d*Sqrt[e*x^2]*ArcTanh[Sqrt[e*x^2]/Sqrt[-d]]*(Log[d + e*x^2] - Log[(d + e*x^2)/
d]) + 6*(-d)^(3/2)*Sqrt[1 - (d + e*x^2)/d]*(Log[(d + e*x^2)/d]^2 - 4*Log[(d + e*x^2)/d]*Log[(1 + Sqrt[1 - (d +
e*x^2)/d])/2] + 2*Log[(1 + Sqrt[1 - (d + e*x^2)/d])/2]^2 - 4*PolyLog[2, 1/2 - Sqrt[1 - (d + e*x^2)/d]/2])))/(
Sqrt[-d]*e*x)

Integral number [485] \[ \int x^2 \left (a+b \log \left (c \left (d+e x^{2/3}\right )^n\right )\right )^3 \, dx \]

[A]   time = 12.5515 (sec), size = 1552 ,normalized size = 64.67 \[ \text {result too large to display} \]

[In]

Integrate[x^2*(a + b*Log[c*(d + e*x^(2/3))^n])^3,x]

[Out]

(-2*b*d^4*n*x^(1/3)*(a - b*n*Log[d + e*x^(2/3)] + b*Log[c*(d + e*x^(2/3))^n])^2)/e^4 + (2*b*d^3*n*x*(a - b*n*L
og[d + e*x^(2/3)] + b*Log[c*(d + e*x^(2/3))^n])^2)/(3*e^3) - (2*b*d^2*n*x^(5/3)*(a - b*n*Log[d + e*x^(2/3)] +
b*Log[c*(d + e*x^(2/3))^n])^2)/(5*e^2) + (2*b*d*n*x^(7/3)*(a - b*n*Log[d + e*x^(2/3)] + b*Log[c*(d + e*x^(2/3)
)^n])^2)/(7*e) + (2*b*d^(9/2)*n*ArcTan[(Sqrt[e]*x^(1/3))/Sqrt[d]]*(a - b*n*Log[d + e*x^(2/3)] + b*Log[c*(d + e
*x^(2/3))^n])^2)/e^(9/2) + b*n*x^3*Log[d + e*x^(2/3)]*(a - b*n*Log[d + e*x^(2/3)] + b*Log[c*(d + e*x^(2/3))^n]
)^2 + (x^3*(a - b*n*Log[d + e*x^(2/3)] + b*Log[c*(d + e*x^(2/3))^n])^2*(3*a - 2*b*n - 3*b*n*Log[d + e*x^(2/3)]
+ 3*b*Log[c*(d + e*x^(2/3))^n]))/9 - (b^3*n^3*(1094783760*d^(9/2)*Sqrt[d + e*x^(2/3)]*Sqrt[(e*x^(2/3))/(d + e
*x^(2/3))]*ArcSin[Sqrt[d]/Sqrt[d + e*x^(2/3)]] - e*x^(2/3)*(-16*(68423985*d^4 - 4186770*d^3*e*x^(2/3) + 871542
*d^2*e^2*x^(4/3) - 217125*d*e^3*x^2 + 42875*e^4*x^(8/3)) + 2520*(177345*d^4 - 26040*d^3*e*x^(2/3) + 9009*d^2*e
^2*x^(4/3) - 3600*d*e^3*x^2 + 1225*e^4*x^(8/3))*Log[d + e*x^(2/3)] - 198450*(315*d^4 - 105*d^3*e*x^(2/3) + 63*
d^2*e^2*x^(4/3) - 45*d*e^3*x^2 + 35*e^4*x^(8/3))*Log[d + e*x^(2/3)]^2 + 10418625*e^4*x^(8/3)*Log[d + e*x^(2/3)
]^3) + 62511750*d^(9/2)*Sqrt[(e*x^(2/3))/(d + e*x^(2/3))]*(8*Sqrt[d]*HypergeometricPFQ[{1/2, 1/2, 1/2, 1/2}, {
3/2, 3/2, 3/2}, d/(d + e*x^(2/3))] + Log[d + e*x^(2/3)]*(4*Sqrt[d]*HypergeometricPFQ[{1/2, 1/2, 1/2}, {3/2, 3/
2}, d/(d + e*x^(2/3))] + Sqrt[d + e*x^(2/3)]*ArcSin[Sqrt[d]/Sqrt[d + e*x^(2/3)]]*Log[d + e*x^(2/3)])) + 111727
350*(-d)^(9/2)*(4*Sqrt[e*x^(2/3)]*ArcTanh[Sqrt[e*x^(2/3)]/Sqrt[-d]]*(Log[d + e*x^(2/3)] - Log[1 + (e*x^(2/3))/
d]) - Sqrt[-d]*Sqrt[-((e*x^(2/3))/d)]*(2*Log[(1 + Sqrt[-((e*x^(2/3))/d)])/2]^2 - 4*Log[(1 + Sqrt[-((e*x^(2/3))
/d)])/2]*Log[1 + (e*x^(2/3))/d] + Log[1 + (e*x^(2/3))/d]^2 - 4*PolyLog[2, 1/2 - Sqrt[-((e*x^(2/3))/d)]/2]))))/
(31255875*e^5*x^(1/3)) + (b^2*n^2*x^(1/3)*(a - b*n*Log[d + e*x^(2/3)] + b*Log[c*(d + e*x^(2/3))^n])*((1418760*
d^(9/2)*ArcSin[Sqrt[d]/Sqrt[d + e*x^(2/3)]])/(Sqrt[d + e*x^(2/3)]*Sqrt[(e*x^(2/3))/(d + e*x^(2/3))]) + 1225*(d
+ e*x^(2/3))^4*(8 - 36*Log[d + e*x^(2/3)] + 81*Log[d + e*x^(2/3)]^2) - 100*d*(d + e*x^(2/3))^3*(680 - 2331*Lo
g[d + e*x^(2/3)] + 3969*Log[d + e*x^(2/3)]^2) + d^4*(1737752 - 709380*Log[d + e*x^(2/3)] + 99225*Log[d + e*x^(
2/3)]^2) - 4*d^3*(d + e*x^(2/3))*(119516 - 159390*Log[d + e*x^(2/3)] + 99225*Log[d + e*x^(2/3)]^2) + 6*d^2*(d
+ e*x^(2/3))^2*(36212 - 85680*Log[d + e*x^(2/3)] + 99225*Log[d + e*x^(2/3)]^2) + (396900*(-d)^(9/2)*ArcTanh[Sq
rt[e*x^(2/3)]/Sqrt[-d]]*(Log[d + e*x^(2/3)] - Log[1 + (e*x^(2/3))/d]))/Sqrt[e*x^(2/3)] - (99225*d^4*(2*Log[(1
+ Sqrt[-((e*x^(2/3))/d)])/2]^2 - 4*Log[(1 + Sqrt[-((e*x^(2/3))/d)])/2]*Log[1 + (e*x^(2/3))/d] + Log[1 + (e*x^(
2/3))/d]^2 - 4*PolyLog[2, 1/2 - Sqrt[-((e*x^(2/3))/d)]/2]))/Sqrt[-((e*x^(2/3))/d)]))/(99225*e^4)

Integral number [486] \[ \int \left (a+b \log \left (c \left (d+e x^{2/3}\right )^n\right )\right )^3 \, dx \]

[B]   time = 9.40003 (sec), size = 1299 ,normalized size = 64.95 \[ \text {result too large to display} \]

[In]

Integrate[(a + b*Log[c*(d + e*x^(2/3))^n])^3,x]

[Out]

(6*b*d*n*x^(1/3)*(a - b*n*Log[d + e*x^(2/3)] + b*Log[c*(d + e*x^(2/3))^n])^2)/e - (6*b*d^(3/2)*n*ArcTan[(Sqrt[
e]*x^(1/3))/Sqrt[d]]*(a - b*n*Log[d + e*x^(2/3)] + b*Log[c*(d + e*x^(2/3))^n])^2)/e^(3/2) + 3*b*n*x*Log[d + e*
x^(2/3)]*(a - b*n*Log[d + e*x^(2/3)] + b*Log[c*(d + e*x^(2/3))^n])^2 + x*(a - b*n*Log[d + e*x^(2/3)] + b*Log[c
*(d + e*x^(2/3))^n])^2*(a - 2*b*n - b*n*Log[d + e*x^(2/3)] + b*Log[c*(d + e*x^(2/3))^n]) + (b^2*n^2*x^(1/3)*(a
- b*n*Log[d + e*x^(2/3)] + b*Log[c*(d + e*x^(2/3))^n])*((-96*d^(3/2)*ArcSin[Sqrt[d]/Sqrt[d + e*x^(2/3)]])/(Sq
rt[d + e*x^(2/3)]*Sqrt[(e*x^(2/3))/(d + e*x^(2/3))]) - d*(104 - 48*Log[d + e*x^(2/3)] + 9*Log[d + e*x^(2/3)]^2
) + (d + e*x^(2/3))*(8 - 12*Log[d + e*x^(2/3)] + 9*Log[d + e*x^(2/3)]^2) + (36*(-d)^(3/2)*ArcTanh[Sqrt[e*x^(2/
3)]/Sqrt[-d]]*(Log[d + e*x^(2/3)] - Log[1 + (e*x^(2/3))/d]))/Sqrt[e*x^(2/3)] + (9*d*(2*Log[(1 + Sqrt[-((e*x^(2
/3))/d)])/2]^2 - 4*Log[(1 + Sqrt[-((e*x^(2/3))/d)])/2]*Log[1 + (e*x^(2/3))/d] + Log[1 + (e*x^(2/3))/d]^2 - 4*P
olyLog[2, 1/2 - Sqrt[-((e*x^(2/3))/d)]/2]))/Sqrt[-((e*x^(2/3))/d)]))/(3*e) + (b^3*n^3*(624*d*e*x^(2/3) - 16*e^
2*x^(4/3) + 624*d^(3/2)*Sqrt[d + e*x^(2/3)]*Sqrt[(e*x^(2/3))/(d + e*x^(2/3))]*ArcSin[Sqrt[d]/Sqrt[d + e*x^(2/3
)]] + 432*d^2*Sqrt[(e*x^(2/3))/(d + e*x^(2/3))]*HypergeometricPFQ[{1/2, 1/2, 1/2, 1/2}, {3/2, 3/2, 3/2}, d/(d
+ e*x^(2/3))] + 144*d^2*Sqrt[-((e*x^(2/3))/d)]*Log[(1 + Sqrt[-((e*x^(2/3))/d)])/2]^2 - 288*d*e*x^(2/3)*Log[d +
e*x^(2/3)] + 24*e^2*x^(4/3)*Log[d + e*x^(2/3)] + 288*Sqrt[-d]*d*Sqrt[e*x^(2/3)]*ArcTanh[Sqrt[e*x^(2/3)]/Sqrt[
-d]]*Log[d + e*x^(2/3)] + 216*d^2*Sqrt[(e*x^(2/3))/(d + e*x^(2/3))]*HypergeometricPFQ[{1/2, 1/2, 1/2}, {3/2, 3
/2}, d/(d + e*x^(2/3))]*Log[d + e*x^(2/3)] + 54*d*e*x^(2/3)*Log[d + e*x^(2/3)]^2 - 18*e^2*x^(4/3)*Log[d + e*x^
(2/3)]^2 + 54*d^(3/2)*Sqrt[d + e*x^(2/3)]*Sqrt[(e*x^(2/3))/(d + e*x^(2/3))]*ArcSin[Sqrt[d]/Sqrt[d + e*x^(2/3)]
]*Log[d + e*x^(2/3)]^2 + 9*e^2*x^(4/3)*Log[d + e*x^(2/3)]^3 + 288*(-d)^(3/2)*Sqrt[e*x^(2/3)]*ArcTanh[Sqrt[e*x^
(2/3)]/Sqrt[-d]]*Log[1 + (e*x^(2/3))/d] - 288*d^2*Sqrt[-((e*x^(2/3))/d)]*Log[(1 + Sqrt[-((e*x^(2/3))/d)])/2]*L
og[1 + (e*x^(2/3))/d] + 72*d^2*Sqrt[-((e*x^(2/3))/d)]*Log[1 + (e*x^(2/3))/d]^2 - 288*d^2*Sqrt[-((e*x^(2/3))/d)
]*PolyLog[2, 1/2 - Sqrt[-((e*x^(2/3))/d)]/2]))/(9*e^2*x^(1/3))

Integral number [487] \[ \int \frac {\left (a+b \log \left (c \left (d+e x^{2/3}\right )^n\right )\right )^3}{x^2} \, dx \]

[B]   time = 10.3119 (sec), size = 1158 ,normalized size = 48.25 \[ \text {result too large to display} \]

[In]

Integrate[(a + b*Log[c*(d + e*x^(2/3))^n])^3/x^2,x]

[Out]

(-6*b*e*n*(a - b*n*Log[d + e*x^(2/3)] + b*Log[c*(d + e*x^(2/3))^n])^2)/(d*x^(1/3)) - (6*b*e^(3/2)*n*ArcTan[(Sq
rt[e]*x^(1/3))/Sqrt[d]]*(a - b*n*Log[d + e*x^(2/3)] + b*Log[c*(d + e*x^(2/3))^n])^2)/d^(3/2) - (3*b*n*Log[d +
e*x^(2/3)]*(a - b*n*Log[d + e*x^(2/3)] + b*Log[c*(d + e*x^(2/3))^n])^2)/x - (a - b*n*Log[d + e*x^(2/3)] + b*Lo
g[c*(d + e*x^(2/3))^n])^3/x + (3*b^2*e*n^2*(a - b*n*Log[d + e*x^(2/3)] + b*Log[c*(d + e*x^(2/3))^n])*((-16*Sqr
t[d + e*x^(2/3)]*Sqrt[(e*x^(2/3))/(d + e*x^(2/3))]*ArcSin[Sqrt[d]/Sqrt[d + e*x^(2/3)]])/d^(3/2) - (8*Log[d + e
*x^(2/3)])/d - (2*Log[d + e*x^(2/3)]^2)/(e*x^(2/3)) - (8*Sqrt[e*x^(2/3)]*ArcTanh[Sqrt[e*x^(2/3)]/Sqrt[-d]]*(Lo
g[d + e*x^(2/3)] - Log[1 + (e*x^(2/3))/d]))/(-d)^(3/2) - (2*Sqrt[-((e*x^(2/3))/d)]*(2*Log[(1 + Sqrt[-((e*x^(2/
3))/d)])/2]^2 - 4*Log[(1 + Sqrt[-((e*x^(2/3))/d)])/2]*Log[1 + (e*x^(2/3))/d] + Log[1 + (e*x^(2/3))/d]^2 - 4*Po
lyLog[2, 1/2 - Sqrt[-((e*x^(2/3))/d)]/2]))/d))/(2*x^(1/3)) + (b^3*n^3*(48*Sqrt[-d^2]*e*Sqrt[(e*x^(2/3))/(d + e
*x^(2/3))]*x^(2/3)*HypergeometricPFQ[{1/2, 1/2, 1/2, 1/2}, {3/2, 3/2, 3/2}, d/(d + e*x^(2/3))] - 12*d*Sqrt[-d^
2]*(-((e*x^(2/3))/d))^(3/2)*Log[(1 + Sqrt[-((e*x^(2/3))/d)])/2]^2 - 24*Sqrt[d]*(e*x^(2/3))^(3/2)*ArcTanh[Sqrt[
e*x^(2/3)]/Sqrt[-d]]*Log[d + e*x^(2/3)] + 24*Sqrt[-d^2]*e*Sqrt[(e*x^(2/3))/(d + e*x^(2/3))]*x^(2/3)*Hypergeome
tricPFQ[{1/2, 1/2, 1/2}, {3/2, 3/2}, d/(d + e*x^(2/3))]*Log[d + e*x^(2/3)] - 6*Sqrt[-d^2]*e*x^(2/3)*Log[d + e*
x^(2/3)]^2 + 6*Sqrt[-d]*(d + e*x^(2/3))^(3/2)*((e*x^(2/3))/(d + e*x^(2/3)))^(3/2)*ArcSin[Sqrt[d]/Sqrt[d + e*x^
(2/3)]]*Log[d + e*x^(2/3)]^2 + (d^(5/2)*Log[d + e*x^(2/3)]^3)/Sqrt[-d] + 24*Sqrt[d]*(e*x^(2/3))^(3/2)*ArcTanh[
Sqrt[e*x^(2/3)]/Sqrt[-d]]*Log[1 + (e*x^(2/3))/d] + 24*d*Sqrt[-d^2]*(-((e*x^(2/3))/d))^(3/2)*Log[(1 + Sqrt[-((e
*x^(2/3))/d)])/2]*Log[1 + (e*x^(2/3))/d] - 6*d*Sqrt[-d^2]*(-((e*x^(2/3))/d))^(3/2)*Log[1 + (e*x^(2/3))/d]^2 +
24*d*Sqrt[-d^2]*(-((e*x^(2/3))/d))^(3/2)*PolyLog[2, 1/2 - Sqrt[-((e*x^(2/3))/d)]/2]))/(Sqrt[-d]*d^(3/2)*x)

Integral number [488] \[ \int \frac {\left (a+b \log \left (c \left (d+e x^{2/3}\right )^n\right )\right )^3}{x^4} \, dx \]

[B]   time = 11.6616 (sec), size = 1385 ,normalized size = 57.71 \[ \text {result too large to display} \]

[In]

Integrate[(a + b*Log[c*(d + e*x^(2/3))^n])^3/x^4,x]

[Out]

((-60*b*e*n*(a - b*n*Log[d + e*x^(2/3)] + b*Log[c*(d + e*x^(2/3))^n])^2)/(d*x^(7/3)) + (84*b*e^2*n*(a - b*n*Lo
g[d + e*x^(2/3)] + b*Log[c*(d + e*x^(2/3))^n])^2)/(d^2*x^(5/3)) - (140*b*e^3*n*(a - b*n*Log[d + e*x^(2/3)] + b
*Log[c*(d + e*x^(2/3))^n])^2)/(d^3*x) + (420*b*e^4*n*(a - b*n*Log[d + e*x^(2/3)] + b*Log[c*(d + e*x^(2/3))^n])
^2)/(d^4*x^(1/3)) + (420*b*e^(9/2)*n*ArcTan[(Sqrt[e]*x^(1/3))/Sqrt[d]]*(a - b*n*Log[d + e*x^(2/3)] + b*Log[c*(
d + e*x^(2/3))^n])^2)/d^(9/2) - (210*b*n*Log[d + e*x^(2/3)]*(a - b*n*Log[d + e*x^(2/3)] + b*Log[c*(d + e*x^(2/
3))^n])^2)/x^3 - (70*(a - b*n*Log[d + e*x^(2/3)] + b*Log[c*(d + e*x^(2/3))^n])^3)/x^3 - (2*b^3*n^3*(1376*e^3*(
d + e*x^(2/3))^(3/2)*((e*x^(2/3))/(d + e*x^(2/3)))^(3/2)*x^2*ArcSin[Sqrt[d]/Sqrt[d + e*x^(2/3)]] + Sqrt[d]*(16
*e^3*(d - 15*e*x^(2/3))*x^2 + 8*(3*d^2*e^2*x^(4/3) - 12*d*e^3*x^2 + 71*e^4*x^(8/3))*Log[d + e*x^(2/3)] + (30*d
^3*e*x^(2/3) - 42*d^2*e^2*x^(4/3) + 70*d*e^3*x^2 - 210*e^4*x^(8/3))*Log[d + e*x^(2/3)]^2 + 35*d^4*Log[d + e*x^
(2/3)]^3) + 210*e^4*Sqrt[(e*x^(2/3))/(d + e*x^(2/3))]*x^(8/3)*(8*Sqrt[d]*HypergeometricPFQ[{1/2, 1/2, 1/2, 1/2
}, {3/2, 3/2, 3/2}, d/(d + e*x^(2/3))] + Log[d + e*x^(2/3)]*(4*Sqrt[d]*HypergeometricPFQ[{1/2, 1/2, 1/2}, {3/2
, 3/2}, d/(d + e*x^(2/3))] + Sqrt[d + e*x^(2/3)]*ArcSin[Sqrt[d]/Sqrt[d + e*x^(2/3)]]*Log[d + e*x^(2/3)])) + (3
52*d^(3/2)*e^4*x^(8/3)*(4*Sqrt[e*x^(2/3)]*ArcTanh[Sqrt[e*x^(2/3)]/Sqrt[-d]]*(Log[d + e*x^(2/3)] - Log[1 + (e*x
^(2/3))/d]) - Sqrt[-d]*Sqrt[-((e*x^(2/3))/d)]*(2*Log[(1 + Sqrt[-((e*x^(2/3))/d)])/2]^2 - 4*Log[(1 + Sqrt[-((e*
x^(2/3))/d)])/2]*Log[1 + (e*x^(2/3))/d] + Log[1 + (e*x^(2/3))/d]^2 - 4*PolyLog[2, 1/2 - Sqrt[-((e*x^(2/3))/d)]
/2])))/(-d)^(3/2)))/(d^(9/2)*x^3) + b^2*e^5*n^2*x^(1/3)*(a - b*n*Log[d + e*x^(2/3)] + b*Log[c*(d + e*x^(2/3))^
n])*((2816*ArcSin[Sqrt[d]/Sqrt[d + e*x^(2/3)]])/(d^(9/2)*Sqrt[d + e*x^(2/3)]*Sqrt[(e*x^(2/3))/(d + e*x^(2/3))]
) - (120*Log[d + e*x^(2/3)])/(d*e^4*x^(8/3)) - (210*Log[d + e*x^(2/3)]^2)/(e^5*x^(10/3)) + (24*(-2 + 7*Log[d +
e*x^(2/3)]))/(d^2*e^3*x^2) - (8*(-24 + 35*Log[d + e*x^(2/3)]))/(d^3*e^2*x^(4/3)) + (8*(-142 + 105*Log[d + e*x
^(2/3)]))/(d^4*e*x^(2/3)) - (840*ArcTanh[Sqrt[e*x^(2/3)]/Sqrt[-d]]*(Log[d + e*x^(2/3)] - Log[1 + (e*x^(2/3))/d
]))/((-d)^(9/2)*Sqrt[e*x^(2/3)]) - (210*(2*Log[(1 + Sqrt[-((e*x^(2/3))/d)])/2]^2 - 4*Log[(1 + Sqrt[-((e*x^(2/3
))/d)])/2]*Log[1 + (e*x^(2/3))/d] + Log[1 + (e*x^(2/3))/d]^2 - 4*PolyLog[2, 1/2 - Sqrt[-((e*x^(2/3))/d)]/2]))/
(d^5*Sqrt[-((e*x^(2/3))/d)])))/210

Integral number [528] \[ \int x^2 \left (a+b \log \left (c \left (d+\frac {e}{x^{2/3}}\right )^n\right )\right )^3 \, dx \]

[B]   time = 29.2948 (sec), size = 5975 ,normalized size = 248.96 \[ \text {Result too large to show} \]

[In]

Integrate[x^2*(a + b*Log[c*(d + e/x^(2/3))^n])^3,x]

[Out]

Result too large to show

Integral number [530] \[ \int \frac {\left (a+b \log \left (c \left (d+\frac {e}{x^{2/3}}\right )^n\right )\right )^3}{x^2} \, dx \]

[B]   time = 19.5599 (sec), size = 5502 ,normalized size = 229.25 \[ \text {Result too large to show} \]

[In]

Integrate[(a + b*Log[c*(d + e/x^(2/3))^n])^3/x^2,x]

[Out]

Result too large to show

Integral number [531] \[ \int \frac {\left (a+b \log \left (c \left (d+\frac {e}{x^{2/3}}\right )^n\right )\right )^3}{x^4} \, dx \]

[B]   time = 27.1934 (sec), size = 6328 ,normalized size = 263.67 \[ \text {Result too large to show} \]

[In]

Integrate[(a + b*Log[c*(d + e/x^(2/3))^n])^3/x^4,x]

[Out]

Result too large to show

4.6 Test file Number [189]

Mathematica

Integral number [332] \[ \int \frac {\cos ^4(c+d x)}{\left (a+b \sin ^3(c+d x)\right )^2} \, dx \]

[C]   time = 1.04909 (sec), size = 394 ,normalized size = 17.13 \[ \frac {-i \text {RootSum}\left [-i b+3 i b \text {$\#$1}^2+8 a \text {$\#$1}^3-3 i b \text {$\#$1}^4+i b \text {$\#$1}^6\& ,\frac {2 b \arctan \left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right )-i b \log \left (1-2 \cos (c+d x) \text {$\#$1}+\text {$\#$1}^2\right )+4 i a \arctan \left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right ) \text {$\#$1}+2 a \log \left (1-2 \cos (c+d x) \text {$\#$1}+\text {$\#$1}^2\right ) \text {$\#$1}+12 b \arctan \left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right ) \text {$\#$1}^2-6 i b \log \left (1-2 \cos (c+d x) \text {$\#$1}+\text {$\#$1}^2\right ) \text {$\#$1}^2-4 i a \arctan \left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right ) \text {$\#$1}^3-2 a \log \left (1-2 \cos (c+d x) \text {$\#$1}+\text {$\#$1}^2\right ) \text {$\#$1}^3+2 b \arctan \left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right ) \text {$\#$1}^4-i b \log \left (1-2 \cos (c+d x) \text {$\#$1}+\text {$\#$1}^2\right ) \text {$\#$1}^4}{b \text {$\#$1}-4 i a \text {$\#$1}^2-2 b \text {$\#$1}^3+b \text {$\#$1}^5}\& \right ]+\frac {24 \cos (c+d x) (a+b \sin (c+d x))}{4 a+3 b \sin (c+d x)-b \sin (3 (c+d x))}}{18 a b d} \]

[In]

Integrate[Cos[c + d*x]^4/(a + b*Sin[c + d*x]^3)^2,x]

[Out]

((-I)*RootSum[(-I)*b + (3*I)*b*#1^2 + 8*a*#1^3 - (3*I)*b*#1^4 + I*b*#1^6 & , (2*b*ArcTan[Sin[c + d*x]/(Cos[c +
d*x] - #1)] - I*b*Log[1 - 2*Cos[c + d*x]*#1 + #1^2] + (4*I)*a*ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1 + 2
*a*Log[1 - 2*Cos[c + d*x]*#1 + #1^2]*#1 + 12*b*ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1^2 - (6*I)*b*Log[1 -
2*Cos[c + d*x]*#1 + #1^2]*#1^2 - (4*I)*a*ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1^3 - 2*a*Log[1 - 2*Cos[c
+ d*x]*#1 + #1^2]*#1^3 + 2*b*ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1^4 - I*b*Log[1 - 2*Cos[c + d*x]*#1 + #
1^2]*#1^4)/(b*#1 - (4*I)*a*#1^2 - 2*b*#1^3 + b*#1^5) & ] + (24*Cos[c + d*x]*(a + b*Sin[c + d*x]))/(4*a + 3*b*S
in[c + d*x] - b*Sin[3*(c + d*x)]))/(18*a*b*d)

Integral number [333] \[ \int \frac {\cos ^2(c+d x)}{\left (a+b \sin ^3(c+d x)\right )^2} \, dx \]

[C]   time = 0.932892 (sec), size = 273 ,normalized size = 11.87 \[ \frac {-i \text {RootSum}\left [-i b+3 i b \text {$\#$1}^2+8 a \text {$\#$1}^3-3 i b \text {$\#$1}^4+i b \text {$\#$1}^6\& ,\frac {2 \arctan \left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right )-i \log \left (1-2 \cos (c+d x) \text {$\#$1}+\text {$\#$1}^2\right )+12 \arctan \left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right ) \text {$\#$1}^2-6 i \log \left (1-2 \cos (c+d x) \text {$\#$1}+\text {$\#$1}^2\right ) \text {$\#$1}^2+2 \arctan \left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right ) \text {$\#$1}^4-i \log \left (1-2 \cos (c+d x) \text {$\#$1}+\text {$\#$1}^2\right ) \text {$\#$1}^4}{b \text {$\#$1}-4 i a \text {$\#$1}^2-2 b \text {$\#$1}^3+b \text {$\#$1}^5}\& \right ]+\frac {12 \sin (2 (c+d x))}{4 a+3 b \sin (c+d x)-b \sin (3 (c+d x))}}{18 a d} \]

[In]

Integrate[Cos[c + d*x]^2/(a + b*Sin[c + d*x]^3)^2,x]

[Out]

((-I)*RootSum[(-I)*b + (3*I)*b*#1^2 + 8*a*#1^3 - (3*I)*b*#1^4 + I*b*#1^6 & , (2*ArcTan[Sin[c + d*x]/(Cos[c + d
*x] - #1)] - I*Log[1 - 2*Cos[c + d*x]*#1 + #1^2] + 12*ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1^2 - (6*I)*Lo
g[1 - 2*Cos[c + d*x]*#1 + #1^2]*#1^2 + 2*ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1^4 - I*Log[1 - 2*Cos[c + d
*x]*#1 + #1^2]*#1^4)/(b*#1 - (4*I)*a*#1^2 - 2*b*#1^3 + b*#1^5) & ] + (12*Sin[2*(c + d*x)])/(4*a + 3*b*Sin[c +
d*x] - b*Sin[3*(c + d*x)]))/(18*a*d)

Integral number [334] \[ \int \frac {1}{\left (a+b \sin ^3(c+d x)\right )^2} \, dx \]

[C]   time = 0.76423 (sec), size = 502 ,normalized size = 35.86 \[ \frac {\frac {i \text {RootSum}\left [-i b+3 i b \text {$\#$1}^2+8 a \text {$\#$1}^3-3 i b \text {$\#$1}^4+i b \text {$\#$1}^6\& ,\frac {2 b^2 \arctan \left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right )-i b^2 \log \left (1-2 \cos (c+d x) \text {$\#$1}+\text {$\#$1}^2\right )+4 i a b \arctan \left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right ) \text {$\#$1}+2 a b \log \left (1-2 \cos (c+d x) \text {$\#$1}+\text {$\#$1}^2\right ) \text {$\#$1}-24 a^2 \arctan \left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right ) \text {$\#$1}^2+12 b^2 \arctan \left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right ) \text {$\#$1}^2+12 i a^2 \log \left (1-2 \cos (c+d x) \text {$\#$1}+\text {$\#$1}^2\right ) \text {$\#$1}^2-6 i b^2 \log \left (1-2 \cos (c+d x) \text {$\#$1}+\text {$\#$1}^2\right ) \text {$\#$1}^2-4 i a b \arctan \left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right ) \text {$\#$1}^3-2 a b \log \left (1-2 \cos (c+d x) \text {$\#$1}+\text {$\#$1}^2\right ) \text {$\#$1}^3+2 b^2 \arctan \left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right ) \text {$\#$1}^4-i b^2 \log \left (1-2 \cos (c+d x) \text {$\#$1}+\text {$\#$1}^2\right ) \text {$\#$1}^4}{b \text {$\#$1}-4 i a \text {$\#$1}^2-2 b \text {$\#$1}^3+b \text {$\#$1}^5}\& \right ]}{a^2-b^2}-\frac {12 b \cos (c+d x) (-3 a+a \cos (2 (c+d x))+2 b \sin (c+d x))}{(a-b) (a+b) (4 a+3 b \sin (c+d x)-b \sin (3 (c+d x)))}}{18 a d} \]

[In]

Integrate[(a + b*Sin[c + d*x]^3)^(-2),x]

[Out]

((I*RootSum[(-I)*b + (3*I)*b*#1^2 + 8*a*#1^3 - (3*I)*b*#1^4 + I*b*#1^6 & , (2*b^2*ArcTan[Sin[c + d*x]/(Cos[c +
d*x] - #1)] - I*b^2*Log[1 - 2*Cos[c + d*x]*#1 + #1^2] + (4*I)*a*b*ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1
+ 2*a*b*Log[1 - 2*Cos[c + d*x]*#1 + #1^2]*#1 - 24*a^2*ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1^2 + 12*b^2*
ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1^2 + (12*I)*a^2*Log[1 - 2*Cos[c + d*x]*#1 + #1^2]*#1^2 - (6*I)*b^2*
Log[1 - 2*Cos[c + d*x]*#1 + #1^2]*#1^2 - (4*I)*a*b*ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1^3 - 2*a*b*Log[1
- 2*Cos[c + d*x]*#1 + #1^2]*#1^3 + 2*b^2*ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1^4 - I*b^2*Log[1 - 2*Cos[
c + d*x]*#1 + #1^2]*#1^4)/(b*#1 - (4*I)*a*#1^2 - 2*b*#1^3 + b*#1^5) & ])/(a^2 - b^2) - (12*b*Cos[c + d*x]*(-3*
a + a*Cos[2*(c + d*x)] + 2*b*Sin[c + d*x]))/((a - b)*(a + b)*(4*a + 3*b*Sin[c + d*x] - b*Sin[3*(c + d*x)])))/(
18*a*d)

Integral number [335] \[ \int \frac {\sec ^2(c+d x)}{\left (a+b \sin ^3(c+d x)\right )^2} \, dx \]

[C]   time = 2.53403 (sec), size = 845 ,normalized size = 36.74 \[ \frac {-\frac {i b \text {RootSum}\left [-i b+3 i b \text {$\#$1}^2+8 a \text {$\#$1}^3-3 i b \text {$\#$1}^4+i b \text {$\#$1}^6\& ,\frac {16 a^2 b \arctan \left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right )+2 b^3 \arctan \left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right )-8 i a^2 b \log \left (1-2 \cos (c+d x) \text {$\#$1}+\text {$\#$1}^2\right )-i b^3 \log \left (1-2 \cos (c+d x) \text {$\#$1}+\text {$\#$1}^2\right )+20 i a^3 \arctan \left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right ) \text {$\#$1}+16 i a b^2 \arctan \left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right ) \text {$\#$1}+10 a^3 \log \left (1-2 \cos (c+d x) \text {$\#$1}+\text {$\#$1}^2\right ) \text {$\#$1}+8 a b^2 \log \left (1-2 \cos (c+d x) \text {$\#$1}+\text {$\#$1}^2\right ) \text {$\#$1}-120 a^2 b \arctan \left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right ) \text {$\#$1}^2+12 b^3 \arctan \left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right ) \text {$\#$1}^2+60 i a^2 b \log \left (1-2 \cos (c+d x) \text {$\#$1}+\text {$\#$1}^2\right ) \text {$\#$1}^2-6 i b^3 \log \left (1-2 \cos (c+d x) \text {$\#$1}+\text {$\#$1}^2\right ) \text {$\#$1}^2-20 i a^3 \arctan \left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right ) \text {$\#$1}^3-16 i a b^2 \arctan \left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right ) \text {$\#$1}^3-10 a^3 \log \left (1-2 \cos (c+d x) \text {$\#$1}+\text {$\#$1}^2\right ) \text {$\#$1}^3-8 a b^2 \log \left (1-2 \cos (c+d x) \text {$\#$1}+\text {$\#$1}^2\right ) \text {$\#$1}^3+16 a^2 b \arctan \left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right ) \text {$\#$1}^4+2 b^3 \arctan \left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right ) \text {$\#$1}^4-8 i a^2 b \log \left (1-2 \cos (c+d x) \text {$\#$1}+\text {$\#$1}^2\right ) \text {$\#$1}^4-i b^3 \log \left (1-2 \cos (c+d x) \text {$\#$1}+\text {$\#$1}^2\right ) \text {$\#$1}^4}{b \text {$\#$1}-4 i a \text {$\#$1}^2-2 b \text {$\#$1}^3+b \text {$\#$1}^5}\& \right ]}{a \left (a^2-b^2\right )^2}+\frac {18 \sin \left (\frac {1}{2} (c+d x)\right )}{(a+b)^2 \left (\cos \left (\frac {1}{2} (c+d x)\right )-\sin \left (\frac {1}{2} (c+d x)\right )\right )}+\frac {18 \sin \left (\frac {1}{2} (c+d x)\right )}{(a-b)^2 \left (\cos \left (\frac {1}{2} (c+d x)\right )+\sin \left (\frac {1}{2} (c+d x)\right )\right )}+\frac {12 b \cos (c+d x) \left (-2 a^3-7 a b^2+3 a b^2 \cos (2 (c+d x))+2 b \left (2 a^2+b^2\right ) \sin (c+d x)\right )}{a (a-b)^2 (a+b)^2 (4 a+3 b \sin (c+d x)-b \sin (3 (c+d x)))}}{18 d} \]

[In]

Integrate[Sec[c + d*x]^2/(a + b*Sin[c + d*x]^3)^2,x]

[Out]

(((-I)*b*RootSum[(-I)*b + (3*I)*b*#1^2 + 8*a*#1^3 - (3*I)*b*#1^4 + I*b*#1^6 & , (16*a^2*b*ArcTan[Sin[c + d*x]/
(Cos[c + d*x] - #1)] + 2*b^3*ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)] - (8*I)*a^2*b*Log[1 - 2*Cos[c + d*x]*#1
+ #1^2] - I*b^3*Log[1 - 2*Cos[c + d*x]*#1 + #1^2] + (20*I)*a^3*ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1 + (
16*I)*a*b^2*ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1 + 10*a^3*Log[1 - 2*Cos[c + d*x]*#1 + #1^2]*#1 + 8*a*b^
2*Log[1 - 2*Cos[c + d*x]*#1 + #1^2]*#1 - 120*a^2*b*ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1^2 + 12*b^3*ArcT
an[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1^2 + (60*I)*a^2*b*Log[1 - 2*Cos[c + d*x]*#1 + #1^2]*#1^2 - (6*I)*b^3*Lo
g[1 - 2*Cos[c + d*x]*#1 + #1^2]*#1^2 - (20*I)*a^3*ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1^3 - (16*I)*a*b^2
*ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1^3 - 10*a^3*Log[1 - 2*Cos[c + d*x]*#1 + #1^2]*#1^3 - 8*a*b^2*Log[1
- 2*Cos[c + d*x]*#1 + #1^2]*#1^3 + 16*a^2*b*ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1^4 + 2*b^3*ArcTan[Sin[
c + d*x]/(Cos[c + d*x] - #1)]*#1^4 - (8*I)*a^2*b*Log[1 - 2*Cos[c + d*x]*#1 + #1^2]*#1^4 - I*b^3*Log[1 - 2*Cos[
c + d*x]*#1 + #1^2]*#1^4)/(b*#1 - (4*I)*a*#1^2 - 2*b*#1^3 + b*#1^5) & ])/(a*(a^2 - b^2)^2) + (18*Sin[(c + d*x)
/2])/((a + b)^2*(Cos[(c + d*x)/2] - Sin[(c + d*x)/2])) + (18*Sin[(c + d*x)/2])/((a - b)^2*(Cos[(c + d*x)/2] +
Sin[(c + d*x)/2])) + (12*b*Cos[c + d*x]*(-2*a^3 - 7*a*b^2 + 3*a*b^2*Cos[2*(c + d*x)] + 2*b*(2*a^2 + b^2)*Sin[c
+ d*x]))/(a*(a - b)^2*(a + b)^2*(4*a + 3*b*Sin[c + d*x] - b*Sin[3*(c + d*x)])))/(18*d)

Integral number [336] \[ \int \frac {\sec ^4(c+d x)}{\left (a+b \sin ^3(c+d x)\right )^2} \, dx \]

[C]   time = 2.4768 (sec), size = 1158 ,normalized size = 50.35 \[ \text {result too large to display} \]

[In]

Integrate[Sec[c + d*x]^4/(a + b*Sin[c + d*x]^3)^2,x]

[Out]

((4*I)*b^2*RootSum[(-I)*b + (3*I)*b*#1^2 + 8*a*#1^3 - (3*I)*b*#1^4 + I*b*#1^6 & , (14*a^4*ArcTan[Sin[c + d*x]/
(Cos[c + d*x] - #1)] + 74*a^2*b^2*ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)] + 2*b^4*ArcTan[Sin[c + d*x]/(Cos[c
+ d*x] - #1)] - (7*I)*a^4*Log[1 - 2*Cos[c + d*x]*#1 + #1^2] - (37*I)*a^2*b^2*Log[1 - 2*Cos[c + d*x]*#1 + #1^2]
- I*b^4*Log[1 - 2*Cos[c + d*x]*#1 + #1^2] + (144*I)*a^3*b*ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1 + (36*I
)*a*b^3*ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1 + 72*a^3*b*Log[1 - 2*Cos[c + d*x]*#1 + #1^2]*#1 + 18*a*b^3
*Log[1 - 2*Cos[c + d*x]*#1 + #1^2]*#1 - 180*a^4*ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1^2 - 372*a^2*b^2*Ar
cTan[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1^2 + 12*b^4*ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1^2 + (90*I)*a^
4*Log[1 - 2*Cos[c + d*x]*#1 + #1^2]*#1^2 + (186*I)*a^2*b^2*Log[1 - 2*Cos[c + d*x]*#1 + #1^2]*#1^2 - (6*I)*b^4*
Log[1 - 2*Cos[c + d*x]*#1 + #1^2]*#1^2 - (144*I)*a^3*b*ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1^3 - (36*I)*
a*b^3*ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1^3 - 72*a^3*b*Log[1 - 2*Cos[c + d*x]*#1 + #1^2]*#1^3 - 18*a*b
^3*Log[1 - 2*Cos[c + d*x]*#1 + #1^2]*#1^3 + 14*a^4*ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1^4 + 74*a^2*b^2*
ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1^4 + 2*b^4*ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1^4 - (7*I)*a^
4*Log[1 - 2*Cos[c + d*x]*#1 + #1^2]*#1^4 - (37*I)*a^2*b^2*Log[1 - 2*Cos[c + d*x]*#1 + #1^2]*#1^4 - I*b^4*Log[1
- 2*Cos[c + d*x]*#1 + #1^2]*#1^4)/(b*#1 - (4*I)*a*#1^2 - 2*b*#1^3 + b*#1^5) & ] + (3*Sec[c + d*x]^3*(48*a^5*b
+ 568*a^3*b^3 + 14*a*b^5 + (78*a^5*b + 606*a^3*b^3 + 81*a*b^5)*Cos[2*(c + d*x)] + 18*a*b^3*(4*a^2 + b^2)*Cos[
4*(c + d*x)] + 2*a^5*b*Cos[6*(c + d*x)] - 30*a^3*b^3*Cos[6*(c + d*x)] - 17*a*b^5*Cos[6*(c + d*x)] + 48*a^6*Sin
[c + d*x] - 244*a^4*b^2*Sin[c + d*x] + 20*a^2*b^4*Sin[c + d*x] - 4*b^6*Sin[c + d*x] + 16*a^6*Sin[3*(c + d*x)]
- 194*a^4*b^2*Sin[3*(c + d*x)] - 86*a^2*b^4*Sin[3*(c + d*x)] - 6*b^6*Sin[3*(c + d*x)] - 14*a^4*b^2*Sin[5*(c +
d*x)] - 74*a^2*b^4*Sin[5*(c + d*x)] - 2*b^6*Sin[5*(c + d*x)]))/(4*a + 3*b*Sin[c + d*x] - b*Sin[3*(c + d*x)]))/
(72*a*(a^2 - b^2)^3*d)

Fricas

Integral number [332] \[ \int \frac {\cos ^4(c+d x)}{\left (a+b \sin ^3(c+d x)\right )^2} \, dx \]

[C]   time = 8.86472 (sec), size = 9984 ,normalized size = 434.09 \[ \text {Too large to display} \]

[In]

integrate(cos(d*x+c)^4/(a+b*sin(d*x+c)^3)^2,x, algorithm=""fricas"")

[Out]

-1/36*(sqrt(2)*sqrt(1/2)*(a^2*b*d - (a*b^2*d*cos(d*x + c)^2 - a*b^2*d)*sin(d*x + c))*sqrt((((1/2)^(1/3)*(I*sqr
t(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*
b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))*a^2*b^2*d^2 + 3*sqrt(1/3)*a^2*b^2*d^2*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*(
27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(
1/3) + 6/(a^2*b^2*d^2))^2*a^4*b^4*d^4 - 12*((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a
^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))*a^2*b^2*d^2 +
36)/(a^4*b^4*d^4)) - 18)/(a^2*b^2*d^2))*log(1/4*(a^9*b^5 + 8*a^7*b^7)*((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b
^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/
(a^2*b^2*d^2))^2*d^4*sin(d*x + c) - 2*a^6 + 96*a^2*b^4 - 256*b^6 - 3*(a^7*b^3 + 8*a^5*b^5)*((1/2)^(1/3)*(I*sqr
t(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*
b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))*d^2*sin(d*x + c) - 1/4*sqrt(2)*sqrt(1/2)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/
(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3
) + 6/(a^2*b^2*d^2))^2*a^9*b^7*d^5*cos(d*x + c) - 16*(a^7*b^5 - a^5*b^7)*((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6
*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) +
6/(a^2*b^2*d^2))*d^3*cos(d*x + c) + 4*(a^7*b + 7*a^5*b^3 - 8*a^3*b^5)*d*cos(d*x + c) - 3*sqrt(1/3)*(((1/2)^(1/
3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^
6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))*a^9*b^7*d^5*cos(d*x + c) - 2*(a^7*b^5 + 8*a^5*b^7)*d^3*cos(d*x + c
))*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2
+ 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))^2*a^4*b^4*d^4 - 12*((1/2)^(1/3)*(I*sqrt(3) + 1
)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6)
)^(1/3) + 6/(a^2*b^2*d^2))*a^2*b^2*d^2 + 36)/(a^4*b^4*d^4)))*sqrt((((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d
^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2
*b^2*d^2))*a^2*b^2*d^2 + 3*sqrt(1/3)*a^2*b^2*d^2*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2
- 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))^
2*a^4*b^4*d^4 - 12*((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15
*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))*a^2*b^2*d^2 + 36)/(a^4*b^4*d^4)) - 18
)/(a^2*b^2*d^2)) - 3/4*sqrt(1/3)*((a^9*b^5 + 8*a^7*b^7)*((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2
- 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))*
d^4*sin(d*x + c) - 6*(a^7*b^3 + 8*a^5*b^5)*d^2*sin(d*x + c))*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*
d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^
2*b^2*d^2))^2*a^4*b^4*d^4 - 12*((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6)
- (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))*a^2*b^2*d^2 + 36)/(a^4*b^
4*d^4)) + 9*(a^5*b + 8*a^3*b^3)*sin(d*x + c)) - sqrt(2)*sqrt(1/2)*(a^2*b*d - (a*b^2*d*cos(d*x + c)^2 - a*b^2*d
)*sin(d*x + c))*sqrt((((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 +
15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))*a^2*b^2*d^2 - 3*sqrt(1/3)*a^2*b^2*
d^2*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2
+ 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))^2*a^4*b^4*d^4 - 12*((1/2)^(1/3)*(I*sqrt(3) +
1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6
))^(1/3) + 6/(a^2*b^2*d^2))*a^2*b^2*d^2 + 36)/(a^4*b^4*d^4)) - 18)/(a^2*b^2*d^2))*log(1/4*(a^9*b^5 + 8*a^7*b^7
)*((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2
*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))^2*d^4*sin(d*x + c) - 2*a^6 + 96*a^2*b^4 - 256*b^6 - 3*
(a^7*b^3 + 8*a^5*b^5)*((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 +
15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))*d^2*sin(d*x + c) + 1/4*sqrt(2)*sqr
t(1/2)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 +
48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))^2*a^9*b^7*d^5*cos(d*x + c) - 16*(a^7*b^5 - a^5*b
^7)*((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a
^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))*d^3*cos(d*x + c) + 4*(a^7*b + 7*a^5*b^3 - 8*a^3*b^5)
*d*cos(d*x + c) + 3*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6)
- (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))*a^9*b^7*d^5*cos(d*x + c)
- 2*(a^7*b^5 + 8*a^5*b^7)*d^3*cos(d*x + c))*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b
^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))^2*a^4
*b^4*d^4 - 12*((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*
b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))*a^2*b^2*d^2 + 36)/(a^4*b^4*d^4)))*sqrt((((
1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4
- 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))*a^2*b^2*d^2 - 3*sqrt(1/3)*a^2*b^2*d^2*sqrt(-(((1/2)^(1/3)*
(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/
(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))^2*a^4*b^4*d^4 - 12*((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (
a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^
2))*a^2*b^2*d^2 + 36)/(a^4*b^4*d^4)) - 18)/(a^2*b^2*d^2)) + 3/4*sqrt(1/3)*((a^9*b^5 + 8*a^7*b^7)*((1/2)^(1/3)*
(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/
(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))*d^4*sin(d*x + c) - 6*(a^7*b^3 + 8*a^5*b^5)*d^2*sin(d*x + c))*sqrt(-((
(1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^
4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))^2*a^4*b^4*d^4 - 12*((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*
b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6
/(a^2*b^2*d^2))*a^2*b^2*d^2 + 36)/(a^4*b^4*d^4)) + 9*(a^5*b + 8*a^3*b^3)*sin(d*x + c)) - sqrt(2)*sqrt(1/2)*(a^
2*b*d - (a*b^2*d*cos(d*x + c)^2 - a*b^2*d)*sin(d*x + c))*sqrt((((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6)
- (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2
*d^2))*a^2*b^2*d^2 + 3*sqrt(1/3)*a^2*b^2*d^2*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*
b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))^2*a^
4*b^4*d^4 - 12*((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4
*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))*a^2*b^2*d^2 + 36)/(a^4*b^4*d^4)) - 18)/(a
^2*b^2*d^2))*log(-1/4*(a^9*b^5 + 8*a^7*b^7)*((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(
a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))^2*d^4*sin(d*
x + c) + 2*a^6 - 96*a^2*b^4 + 256*b^6 + 3*(a^7*b^3 + 8*a^5*b^5)*((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6)
- (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^
2*d^2))*d^2*sin(d*x + c) - 1/4*sqrt(2)*sqrt(1/2)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^
2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))^2*a^9*
b^7*d^5*cos(d*x + c) - 16*(a^7*b^5 - a^5*b^7)*((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3
/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))*d^3*cos(d*
x + c) + 4*(a^7*b + 7*a^5*b^3 - 8*a^3*b^5)*d*cos(d*x + c) - 3*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6
*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) +
6/(a^2*b^2*d^2))*a^9*b^7*d^5*cos(d*x + c) - 2*(a^7*b^5 + 8*a^5*b^7)*d^3*cos(d*x + c))*sqrt(-(((1/2)^(1/3)*(I*s
qrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^1
0*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))^2*a^4*b^4*d^4 - 12*((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2
- 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))*
a^2*b^2*d^2 + 36)/(a^4*b^4*d^4)))*sqrt((((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10
*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))*a^2*b^2*d^2 + 3*
sqrt(1/3)*a^2*b^2*d^2*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) -
(a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))^2*a^4*b^4*d^4 - 12*((1/2)^(
1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*
b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))*a^2*b^2*d^2 + 36)/(a^4*b^4*d^4)) - 18)/(a^2*b^2*d^2)) + 3/4*sqrt
(1/3)*((a^9*b^5 + 8*a^7*b^7)*((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) -
(a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))*d^4*sin(d*x + c) - 6*(a^7*b
^3 + 8*a^5*b^5)*d^2*sin(d*x + c))*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^1
0*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))^2*a^4*b^4*d^4 -
12*((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a
^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))*a^2*b^2*d^2 + 36)/(a^4*b^4*d^4)) - 9*(a^5*b + 8*a^3*
b^3)*sin(d*x + c)) + sqrt(2)*sqrt(1/2)*(a^2*b*d - (a*b^2*d*cos(d*x + c)^2 - a*b^2*d)*sin(d*x + c))*sqrt((((1/2
)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 -
64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))*a^2*b^2*d^2 - 3*sqrt(1/3)*a^2*b^2*d^2*sqrt(-(((1/2)^(1/3)*(I*
sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^
10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))^2*a^4*b^4*d^4 - 12*((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2
- 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))
*a^2*b^2*d^2 + 36)/(a^4*b^4*d^4)) - 18)/(a^2*b^2*d^2))*log(-1/4*(a^9*b^5 + 8*a^7*b^7)*((1/2)^(1/3)*(I*sqrt(3)
+ 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d
^6))^(1/3) + 6/(a^2*b^2*d^2))^2*d^4*sin(d*x + c) + 2*a^6 - 96*a^2*b^4 + 256*b^6 + 3*(a^7*b^3 + 8*a^5*b^5)*((1/
2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 -
64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))*d^2*sin(d*x + c) + 1/4*sqrt(2)*sqrt(1/2)*(((1/2)^(1/3)*(I*sq
rt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10
*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))^2*a^9*b^7*d^5*cos(d*x + c) - 16*(a^7*b^5 - a^5*b^7)*((1/2)^(1/3)*(I*sqrt(3
) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8
*d^6))^(1/3) + 6/(a^2*b^2*d^2))*d^3*cos(d*x + c) + 4*(a^7*b + 7*a^5*b^3 - 8*a^3*b^5)*d*cos(d*x + c) + 3*sqrt(1
/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*
a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))*a^9*b^7*d^5*cos(d*x + c) - 2*(a^7*b^5 + 8*a^5*b^7)*
d^3*cos(d*x + c))*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^
6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))^2*a^4*b^4*d^4 - 12*((1/2)^(1/3)
*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)
/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))*a^2*b^2*d^2 + 36)/(a^4*b^4*d^4)))*sqrt((((1/2)^(1/3)*(I*sqrt(3) + 1)
*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))
^(1/3) + 6/(a^2*b^2*d^2))*a^2*b^2*d^2 - 3*sqrt(1/3)*a^2*b^2*d^2*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b
^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/
(a^2*b^2*d^2))^2*a^4*b^4*d^4 - 12*((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d
^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))*a^2*b^2*d^2 + 36)/(a^4
*b^4*d^4)) - 18)/(a^2*b^2*d^2)) - 3/4*sqrt(1/3)*((a^9*b^5 + 8*a^7*b^7)*((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b
^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/
(a^2*b^2*d^2))*d^4*sin(d*x + c) - 6*(a^7*b^3 + 8*a^5*b^5)*d^2*sin(d*x + c))*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1
)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6)
)^(1/3) + 6/(a^2*b^2*d^2))^2*a^4*b^4*d^4 - 12*((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3
/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))*a^2*b^2*d^
2 + 36)/(a^4*b^4*d^4)) - 9*(a^5*b + 8*a^3*b^3)*sin(d*x + c)) - 12*b*cos(d*x + c)*sin(d*x + c) + 18*(a^2*b*d -
(a*b^2*d*cos(d*x + c)^2 - a*b^2*d)*sin(d*x + c))*sqrt(-1/162*(1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (
a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) - 1/27/(a^2*b^2
*d^2))*log(1/2*(a^9*b^5 + 8*a^7*b^7)*((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^
8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))^2*d^4*sin(d*x + c)
+ 2*a^6 - 96*a^2*b^4 + 256*b^6 - 6*(a^7*b^3 + 8*a^5*b^5)*((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2
- 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))
*d^2*sin(d*x + c) + 18*(a^5*b + 8*a^3*b^3)*sin(d*x + c) - 9*(((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) -
(a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d
^2))^2*a^9*b^7*d^5*cos(d*x + c) - 16*(a^7*b^5 - a^5*b^7)*((1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2
- 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))
*d^3*cos(d*x + c) - 2*(a^7*b - 38*a^5*b^3 + 64*a^3*b^5)*d*cos(d*x + c))*sqrt(-1/162*(1/2)^(1/3)*(I*sqrt(3) + 1
)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6)
)^(1/3) - 1/27/(a^2*b^2*d^2))) - 18*(a^2*b*d - (a*b^2*d*cos(d*x + c)^2 - a*b^2*d)*sin(d*x + c))*sqrt(-1/162*(1
/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4
- 64*b^6)/(a^10*b^8*d^6))^(1/3) - 1/27/(a^2*b^2*d^2))*log(-1/2*(a^9*b^5 + 8*a^7*b^7)*((1/2)^(1/3)*(I*sqrt(3) +
1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^
6))^(1/3) + 6/(a^2*b^2*d^2))^2*d^4*sin(d*x + c) - 2*a^6 + 96*a^2*b^4 - 256*b^6 + 6*(a^7*b^3 + 8*a^5*b^5)*((1/2
)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 -
64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))*d^2*sin(d*x + c) - 18*(a^5*b + 8*a^3*b^3)*sin(d*x + c) - 9*((
(1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^
4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))^2*a^9*b^7*d^5*cos(d*x + c) - 16*(a^7*b^5 - a^5*b^7)*((1/2
)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 + 15*a^4*b^2 + 48*a^2*b^4 -
64*b^6)/(a^10*b^8*d^6))^(1/3) + 6/(a^2*b^2*d^2))*d^3*cos(d*x + c) - 2*(a^7*b - 38*a^5*b^3 + 64*a^3*b^5)*d*cos(
d*x + c))*sqrt(-1/162*(1/2)^(1/3)*(I*sqrt(3) + 1)*(27/(a^6*b^6*d^6) - (a^2 - 4*b^2)^3/(a^10*b^8*d^6) - (a^6 +
15*a^4*b^2 + 48*a^2*b^4 - 64*b^6)/(a^10*b^8*d^6))^(1/3) - 1/27/(a^2*b^2*d^2))) - 12*a*cos(d*x + c))/(a^2*b*d -
(a*b^2*d*cos(d*x + c)^2 - a*b^2*d)*sin(d*x + c))

Integral number [333] \[ \int \frac {\cos ^2(c+d x)}{\left (a+b \sin ^3(c+d x)\right )^2} \, dx \]

[C]   time = 2.85272 (sec), size = 36403 ,normalized size = 1582.74 \[ \text {Too large to display} \]

[In]

integrate(cos(d*x+c)^2/(a+b*sin(d*x+c)^3)^2,x, algorithm=""fricas"")

[Out]

1/324*(3*sqrt(2/3)*sqrt(1/6)*(a^2*d - (a*b*d*cos(d*x + c)^2 - a*b*d)*sin(d*x + c))*sqrt(-((a^4 - a^2*b^2)*((-I
*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64
*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/53144
1/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))
^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098
/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 +
28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^2 + 3*
sqrt(1/3)*(a^4 - a^2*b^2)*d^2*sqrt(-((a^8*b^2 - 2*a^6*b^4 + a^4*b^6)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b
^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) +
1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/10628
82*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/106
2882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^
2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((
a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))^2*d^4 + 324*(a^4*b^2 - a^2*b^4)*((-I*sqrt(3)
+ 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^
12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^
2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) -
6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^
2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b
^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^2 + 314928*a^2
- 393660*b^2)/((a^8*b^2 - 2*a^6*b^4 + a^4*b^6)*d^4)) + 486)/((a^4 - a^2*b^2)*d^2))*log(4*a^8 + 80*a^6*b^2 - 12
16*a^4*b^4 + 2816*a^2*b^6 - 2048*b^8 - 1/13122*(3*a^13*b^3 - 31*a^11*b^5 + 60*a^9*b^7 - 32*a^7*b^9)*((-I*sqrt(
3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/
(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4
*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3)
- 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6
*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^
4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))^2*d^4*sin(d*x
+ c) + 1/81*(a^11*b - 14*a^9*b^3 + 56*a^7*b^5 - 64*a^5*b^7)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) -
1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098
/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 +
28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4
- 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b
^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2
)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^2*sin(d*x + c) + 1/78732*sqrt(2/3)*sqrt(1/6)*((a^15*
b^3 + a^13*b^5 - 10*a^11*b^7 + 8*a^9*b^9)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*
b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a
^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a
^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64
*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/53144
1/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))
^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))^2*d^5*cos(d*x + c) + 162*(9*a^11*b^3 - 56*a^9*b^5 + 96*a^7*b^7 - 64*a^5*
b^9)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2
*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2))
- 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*
b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) +
1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/10628
82*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))
*d^3*cos(d*x + c) + 52488*(2*a^9*b - 19*a^7*b^3 + 28*a^5*b^5 - 32*a^3*b^7)*d*cos(d*x + c) - 3*sqrt(1/3)*((a^15
*b^3 + a^13*b^5 - 10*a^11*b^7 + 8*a^9*b^9)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2
*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 -
a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*
a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 6
4*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/5314
41/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6)
)^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^5*cos(d*x + c) - 324*(3*a^11*b^3 - 31*a^9*b^5 + 60*a^7*b^7 - 32*a^5*b
^9)*d^3*cos(d*x + c))*sqrt(-((a^8*b^2 - 2*a^6*b^4 + a^4*b^6)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4)
- 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/11809
8/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6
+ 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^
4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*
b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^
2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))^2*d^4 + 324*(a^4*b^2 - a^2*b^4)*((-I*sqrt(3) + 1)*(3/
(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d
^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*
b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*
sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 -
a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*
a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^2 + 314928*a^2 - 393660
*b^2)/((a^8*b^2 - 2*a^6*b^4 + a^4*b^6)*d^4)))*sqrt(-((a^4 - a^2*b^2)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b
^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) +
1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/10628
82*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/106
2882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^
2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((
a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^2 + 3*sqrt(1/3)*(a^4 - a^2*b^2)*d^2*sqrt(-(
(a^8*b^2 - 2*a^6*b^4 + a^4*b^6)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2
)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4
)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 6
4*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^1
2*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2
- a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 1
62/(a^4*d^2 - a^2*b^2*d^2))^2*d^4 + 324*(a^4*b^2 - a^2*b^4)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) -
1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098
/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 +
28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4
- 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b
^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2
)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^2 + 314928*a^2 - 393660*b^2)/((a^8*b^2 - 2*a^6*b^4 +
a^4*b^6)*d^4)) + 486)/((a^4 - a^2*b^2)*d^2)) + 1/4374*sqrt(1/3)*((3*a^13*b^3 - 31*a^11*b^5 + 60*a^9*b^7 - 32*
a^7*b^9)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16
*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^
2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a
^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^
6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1
062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d
^2))*d^4*sin(d*x + c) + 162*(a^11*b - 5*a^9*b^3 - 28*a^7*b^5 + 32*a^5*b^7)*d^2*sin(d*x + c))*sqrt(-((a^8*b^2 -
2*a^6*b^4 + a^4*b^6)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062
882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2
- a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a
^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6
- a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2
*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^
2 - a^2*b^2*d^2))^2*d^4 + 324*(a^4*b^2 - a^2*b^4)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^
2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2
*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^
2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*
b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) -
1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b
^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^2 + 314928*a^2 - 393660*b^2)/((a^8*b^2 - 2*a^6*b^4 + a^4*b^6)*
d^4)) - 2*(17*a^7*b - 164*a^5*b^3 + 224*a^3*b^5)*sin(d*x + c)) - 3*sqrt(2/3)*sqrt(1/6)*(a^2*d - (a*b*d*cos(d*x
+ c)^2 - a*b*d)*sin(d*x + c))*sqrt(-((a^4 - a^2*b^2)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^
4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6
*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^
4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*
a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2
)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^
10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^2 - 3*sqrt(1/3)*(a^4 - a^2*b^2)*d^2*sqrt(-((a^8*b^2 - 2*a^
6*b^4 + a^4*b^6)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(
a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^
2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 -
b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^1
0*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)
^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a
^2*b^2*d^2))^2*d^4 + 324*(a^4*b^2 - a^2*b^4)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a
^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4
- a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 8
0*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 +
64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/53
1441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^
6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^2 + 314928*a^2 - 393660*b^2)/((a^8*b^2 - 2*a^6*b^4 + a^4*b^6)*d^4))
+ 486)/((a^4 - a^2*b^2)*d^2))*log(4*a^8 + 80*a^6*b^2 - 1216*a^4*b^4 + 2816*a^2*b^6 - 2048*b^8 - 1/13122*(3*a^
13*b^3 - 31*a^11*b^5 + 60*a^9*b^7 - 32*a^7*b^9)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2
- a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d
^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2
- 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^
2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1
/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4
*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))^2*d^4*sin(d*x + c) + 1/81*(a^11*b - 14*a^9*b^3 + 56*a^7*b^5 - 64*a
^5*b^7)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*
a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2
)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^
10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6
) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/10
62882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^
2))*d^2*sin(d*x + c) - 1/78732*sqrt(2/3)*sqrt(1/6)*((a^15*b^3 + a^13*b^5 - 10*a^11*b^7 + 8*a^9*b^9)*((-I*sqrt(
3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/
(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4
*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3)
- 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6
*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^
4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))^2*d^5*cos(d*x
+ c) + 162*(9*a^11*b^3 - 56*a^9*b^5 + 96*a^7*b^7 - 64*a^5*b^9)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4
) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118
098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^
6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(
a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^
2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 -
b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^3*cos(d*x + c) + 52488*(2*a^9*b - 19*a^7*b^3 + 28
*a^5*b^5 - 32*a^3*b^7)*d*cos(d*x + c) + 3*sqrt(1/3)*((a^15*b^3 + a^13*b^5 - 10*a^11*b^7 + 8*a^9*b^9)*((-I*sqrt
(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)
/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^
4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3
) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^
6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a
^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^5*cos(d*x +
c) - 324*(3*a^11*b^3 - 31*a^9*b^5 + 60*a^7*b^7 - 32*a^5*b^9)*d^3*cos(d*x + c))*sqrt(-((a^8*b^2 - 2*a^6*b^4 +
a^4*b^6)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16
*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^
2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a
^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^
6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1
062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d
^2))^2*d^4 + 324*(a^4*b^2 - a^2*b^4)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d
^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^
4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^
4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)
/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^
4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3
) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^2 + 314928*a^2 - 393660*b^2)/((a^8*b^2 - 2*a^6*b^4 + a^4*b^6)*d^4)))*sqrt(-
((a^4 - a^2*b^2)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(
a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^
2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 -
b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^1
0*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)
^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a
^2*b^2*d^2))*d^2 - 3*sqrt(1/3)*(a^4 - a^2*b^2)*d^2*sqrt(-((a^8*b^2 - 2*a^6*b^4 + a^4*b^6)*((-I*sqrt(3) + 1)*(3
/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*
d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2
*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I
*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 -
a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80
*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))^2*d^4 + 324*(a^4*b^2 - a
^2*b^4)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*
a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2
)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^
10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6
) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/10
62882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^
2))*d^2 + 314928*a^2 - 393660*b^2)/((a^8*b^2 - 2*a^6*b^4 + a^4*b^6)*d^4)) + 486)/((a^4 - a^2*b^2)*d^2)) - 1/43
74*sqrt(1/3)*((3*a^13*b^3 - 31*a^11*b^5 + 60*a^9*b^7 - 32*a^7*b^9)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4
*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1
/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882
*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/10628
82*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2
- a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^
2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^4*sin(d*x + c) + 162*(a^11*b - 5*a^9*b^3 - 28
*a^7*b^5 + 32*a^5*b^7)*d^2*sin(d*x + c))*sqrt(-((a^8*b^2 - 2*a^6*b^4 + a^4*b^6)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*
d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10
*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^
3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) +
1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d
^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 +
64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))^2*d^4 + 324*(a^4*b^2 - a^2*b^4)*((
-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 +
64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531
441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6
))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/1180
98/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6
+ 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^2 +
314928*a^2 - 393660*b^2)/((a^8*b^2 - 2*a^6*b^4 + a^4*b^6)*d^4)) - 2*(17*a^7*b - 164*a^5*b^3 + 224*a^3*b^5)*sin
(d*x + c)) - 3*sqrt(2/3)*sqrt(1/6)*(a^2*d - (a*b*d*cos(d*x + c)^2 - a*b*d)*sin(d*x + c))*sqrt(-((a^4 - a^2*b^2
)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^
2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1
/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4
*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/
118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*
(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^
2 + 3*sqrt(1/3)*(a^4 - a^2*b^2)*d^2*sqrt(-((a^8*b^2 - 2*a^6*b^4 + a^4*b^6)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 -
a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*
d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1
/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(
-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(
a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b
^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))^2*d^4 + 324*(a^4*b^2 - a^2*b^4)*((-I*sq
rt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^
4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(
a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1
/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((
a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28
*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^2 + 31492
8*a^2 - 393660*b^2)/((a^8*b^2 - 2*a^6*b^4 + a^4*b^6)*d^4)) + 486)/((a^4 - a^2*b^2)*d^2))*log(-4*a^8 - 80*a^6*b
^2 + 1216*a^4*b^4 - 2816*a^2*b^6 + 2048*b^8 + 1/13122*(3*a^13*b^3 - 31*a^11*b^5 + 60*a^9*b^7 - 32*a^7*b^9)*((-
I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 6
4*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/5314
41/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6)
)^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/11809
8/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6
+ 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))^2*d^4*s
in(d*x + c) - 1/81*(a^11*b - 14*a^9*b^3 + 56*a^7*b^5 - 64*a^5*b^7)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4
*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1
/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882
*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/10628
82*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2
- a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^
2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^2*sin(d*x + c) + 1/78732*sqrt(2/3)*sqrt(1/6)*
((a^15*b^3 + a^13*b^5 - 10*a^11*b^7 + 8*a^9*b^9)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2
- a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*
d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2
- 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b
^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) -
1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^
4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))^2*d^5*cos(d*x + c) + 162*(9*a^11*b^3 - 56*a^9*b^5 + 96*a^7*b^7 -
64*a^5*b^9)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 -
16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2
*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^
2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6
*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 +
1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^
2*d^2))*d^3*cos(d*x + c) + 52488*(2*a^9*b - 19*a^7*b^3 + 28*a^5*b^5 - 32*a^3*b^7)*d*cos(d*x + c) - 3*sqrt(1/3)
*((a^15*b^3 + a^13*b^5 - 10*a^11*b^7 + 8*a^9*b^9)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^
2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2
*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^
2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*
b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) -
1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b
^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^5*cos(d*x + c) - 324*(3*a^11*b^3 - 31*a^9*b^5 + 60*a^7*b^7 - 3
2*a^5*b^9)*d^3*cos(d*x + c))*sqrt(-((a^8*b^2 - 2*a^6*b^4 + a^4*b^6)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^
4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) +
1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/106288
2*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062
882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2
- a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a
^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))^2*d^4 + 324*(a^4*b^2 - a^2*b^4)*((-I*sqrt(3) +
1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^1
2*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2
- a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6
561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2
*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^
2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^2 + 314928*a^2 -
393660*b^2)/((a^8*b^2 - 2*a^6*b^4 + a^4*b^6)*d^4)))*sqrt(-((a^4 - a^2*b^2)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4
- a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6
*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 +
1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*
(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*
(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*
b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^2 + 3*sqrt(1/3)*(a^4 - a^2*b^2)*d^2*
sqrt(-((a^8*b^2 - 2*a^6*b^4 + a^4*b^6)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2
*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*
b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*
b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^
4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(
a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1
/3) - 162/(a^4*d^2 - a^2*b^2*d^2))^2*d^4 + 324*(a^4*b^2 - a^2*b^4)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4
*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1
/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882
*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/10628
82*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2
- a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^
2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^2 + 314928*a^2 - 393660*b^2)/((a^8*b^2 - 2*a^
6*b^4 + a^4*b^6)*d^4)) + 486)/((a^4 - a^2*b^2)*d^2)) - 1/4374*sqrt(1/3)*((3*a^13*b^3 - 31*a^11*b^5 + 60*a^9*b^
7 - 32*a^7*b^9)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a
^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2
*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b
^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10
*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^
3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^
2*b^2*d^2))*d^4*sin(d*x + c) + 162*(a^11*b - 5*a^9*b^3 - 28*a^7*b^5 + 32*a^5*b^7)*d^2*sin(d*x + c))*sqrt(-((a^
8*b^2 - 2*a^6*b^4 + a^4*b^6)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(
-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(
a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b
^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b
^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 -
a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/
(a^4*d^2 - a^2*b^2*d^2))^2*d^4 + 324*(a^4*b^2 - a^2*b^4)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/
(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((
a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28
*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 -
16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*
d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2
*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^2 + 314928*a^2 - 393660*b^2)/((a^8*b^2 - 2*a^6*b^4 + a^
4*b^6)*d^4)) + 2*(17*a^7*b - 164*a^5*b^3 + 224*a^3*b^5)*sin(d*x + c)) + 3*sqrt(2/3)*sqrt(1/6)*(a^2*d - (a*b*d*
cos(d*x + c)^2 - a*b*d)*sin(d*x + c))*sqrt(-((a^4 - a^2*b^2)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4)
- 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/11809
8/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6
+ 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^
4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*
b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^
2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^2 - 3*sqrt(1/3)*(a^4 - a^2*b^2)*d^2*sqrt(-((a^8*b^2
- 2*a^6*b^4 + a^4*b^6)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/10
62882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d
^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/(
(a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^
6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b
^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*
d^2 - a^2*b^2*d^2))^2*d^4 + 324*(a^4*b^2 - a^2*b^4)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*
d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b
^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*
b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^
2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2))
- 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10
*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^2 + 314928*a^2 - 393660*b^2)/((a^8*b^2 - 2*a^6*b^4 + a^4*b^6
)*d^4)) + 486)/((a^4 - a^2*b^2)*d^2))*log(-4*a^8 - 80*a^6*b^2 + 1216*a^4*b^4 - 2816*a^2*b^6 + 2048*b^8 + 1/131
22*(3*a^13*b^3 - 31*a^11*b^5 + 60*a^9*b^7 - 32*a^7*b^9)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(
a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a
^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*
a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 1
6*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d
^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*
a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))^2*d^4*sin(d*x + c) - 1/81*(a^11*b - 14*a^9*b^3 + 56*a^7*b^
5 - 64*a^5*b^7)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a
^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2
*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b
^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10
*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^
3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^
2*b^2*d^2))*d^2*sin(d*x + c) - 1/78732*sqrt(2/3)*sqrt(1/6)*((a^15*b^3 + a^13*b^5 - 10*a^11*b^7 + 8*a^9*b^9)*((
-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 +
64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531
441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6
))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/1180
98/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6
+ 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))^2*d^5*
cos(d*x + c) + 162*(9*a^11*b^3 - 56*a^9*b^5 + 96*a^7*b^7 - 64*a^5*b^9)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4
*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6)
+ 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/106
2882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1
062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*
d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/
((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^3*cos(d*x + c) + 52488*(2*a^9*b - 19*a^7*
b^3 + 28*a^5*b^5 - 32*a^3*b^7)*d*cos(d*x + c) + 3*sqrt(1/3)*((a^15*b^3 + a^13*b^5 - 10*a^11*b^7 + 8*a^9*b^9)*(
(-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 +
64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/53
1441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^
6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118
098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^
6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^5*c
os(d*x + c) - 324*(3*a^11*b^3 - 31*a^9*b^5 + 60*a^7*b^7 - 32*a^5*b^9)*d^3*cos(d*x + c))*sqrt(-((a^8*b^2 - 2*a^
6*b^4 + a^4*b^6)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(
a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^
2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 -
b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^1
0*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)
^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a
^2*b^2*d^2))^2*d^4 + 324*(a^4*b^2 - a^2*b^4)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a
^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4
- a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 8
0*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 +
64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/53
1441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^
6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^2 + 314928*a^2 - 393660*b^2)/((a^8*b^2 - 2*a^6*b^4 + a^4*b^6)*d^4))
)*sqrt(-((a^4 - a^2*b^2)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1
062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*
d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/
((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d
^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*
b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4
*d^2 - a^2*b^2*d^2))*d^2 - 3*sqrt(1/3)*(a^4 - a^2*b^2)*d^2*sqrt(-((a^8*b^2 - 2*a^6*b^4 + a^4*b^6)*((-I*sqrt(3)
+ 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a
^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d
^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) -
6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b
^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*
b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))^2*d^4 + 324*(a^4
*b^2 - a^2*b^4)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a
^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2
*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b
^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10
*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^
3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^
2*b^2*d^2))*d^2 + 314928*a^2 - 393660*b^2)/((a^8*b^2 - 2*a^6*b^4 + a^4*b^6)*d^4)) + 486)/((a^4 - a^2*b^2)*d^2)
) + 1/4374*sqrt(1/3)*((3*a^13*b^3 - 31*a^11*b^5 + 60*a^9*b^7 - 32*a^7*b^9)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 -
a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*
d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1
/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(
-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(
a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b
^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^4*sin(d*x + c) + 162*(a^11*b - 5*a^9*
b^3 - 28*a^7*b^5 + 32*a^5*b^7)*d^2*sin(d*x + c))*sqrt(-((a^8*b^2 - 2*a^6*b^4 + a^4*b^6)*((-I*sqrt(3) + 1)*(3/(
a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^
6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b
^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*s
qrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a
^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a
^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))^2*d^4 + 324*(a^4*b^2 - a^2
*b^4)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^
2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2))
- 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10
*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6)
+ 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062
882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2)
)*d^2 + 314928*a^2 - 393660*b^2)/((a^8*b^2 - 2*a^6*b^4 + a^4*b^6)*d^4)) + 2*(17*a^7*b - 164*a^5*b^3 + 224*a^3*
b^5)*sin(d*x + c)) + 2*sqrt(1/2)*(a^2*d - (a*b*d*cos(d*x + c)^2 - a*b*d)*sin(d*x + c))*sqrt((-I*sqrt(3) + 1)*(
3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4
*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^
2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(
I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4
- a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 8
0*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*log(2*a^8 + 40*a^6*b^2
- 608*a^4*b^4 + 1408*a^2*b^6 - 1024*b^8 + 1/13122*(3*a^13*b^3 - 31*a^11*b^5 + 60*a^9*b^7 - 32*a^7*b^9)*((-I*sq
rt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^
4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(
a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1
/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((
a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28
*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))^2*d^4*sin(d
*x + c) - 1/81*(a^11*b - 14*a^9*b^3 + 56*a^7*b^5 - 64*a^5*b^7)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4
) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118
098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^
6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(
a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^
2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 -
b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^2*sin(d*x + c) - 1/118098*sqrt(1/2)*((a^15*b^3 +
a^13*b^5 - 10*a^11*b^7 + 8*a^9*b^9)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^
2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4
*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4
+ 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/
(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4
*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3)
- 162/(a^4*d^2 - a^2*b^2*d^2))^2*d^5*cos(d*x + c) + 162*(9*a^11*b^3 - 56*a^9*b^5 + 96*a^7*b^7 - 64*a^5*b^9)*(
(-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 +
64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/53
1441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^
6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118
098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^
6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^3*c
os(d*x + c) + 26244*(7*a^9*b + 46*a^7*b^3 - 184*a^5*b^5 + 128*a^3*b^7)*d*cos(d*x + c))*sqrt((-I*sqrt(3) + 1)*(
3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4
*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^
2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(
I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4
- a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 8
0*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2)) + 2*(17*a^7*b - 164*a^5
*b^3 + 224*a^3*b^5)*sin(d*x + c)) - 2*sqrt(1/2)*(a^2*d - (a*b*d*cos(d*x + c)^2 - a*b*d)*sin(d*x + c))*sqrt((-I
*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64
*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/53144
1/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))
^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098
/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 +
28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*log(-2*a
^8 - 40*a^6*b^2 + 608*a^4*b^4 - 1408*a^2*b^6 + 1024*b^8 - 1/13122*(3*a^13*b^3 - 31*a^11*b^5 + 60*a^9*b^7 - 32*
a^7*b^9)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16
*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^
2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a
^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^
6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1
062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d
^2))^2*d^4*sin(d*x + c) + 1/81*(a^11*b - 14*a^9*b^3 + 56*a^7*b^5 - 64*a^5*b^7)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d
^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*
b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3
+ 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) +
1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^
4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 +
64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))*d^2*sin(d*x + c) - 1/118098*sqrt(1/
2)*((a^15*b^3 + a^13*b^5 - 10*a^11*b^7 + 8*a^9*b^9)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*
d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b
^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*
b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^
2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2))
- 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10
*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2))^2*d^5*cos(d*x + c) + 162*(9*a^11*b^3 - 56*a^9*b^5 + 96*a^7*b^7
- 64*a^5*b^9)*((-I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^
4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*
b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^
2)^2*a^10*b^4*d^6))^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*
b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3
+ 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2
*b^2*d^2))*d^3*cos(d*x + c) + 26244*(7*a^9*b + 46*a^7*b^3 - 184*a^5*b^5 + 128*a^3*b^7)*d*cos(d*x + c))*sqrt((-
I*sqrt(3) + 1)*(3/(a^6*b^2*d^4 - a^4*b^4*d^4) - 1/(a^4*d^2 - a^2*b^2*d^2)^2)/(-1/1062882*(a^4 - 16*a^2*b^2 + 6
4*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/118098/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/5314
41/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6 + 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6)
)^(1/3) - 6561*(I*sqrt(3) + 1)*(-1/1062882*(a^4 - 16*a^2*b^2 + 64*b^4)/(a^12*b^4*d^6 - a^10*b^6*d^6) + 1/11809
8/((a^6*b^2*d^4 - a^4*b^4*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/531441/(a^4*d^2 - a^2*b^2*d^2)^3 + 1/1062882*(a^6
+ 28*a^4*b^2 - 80*a^2*b^4 + 64*b^6)/((a^2 - b^2)^2*a^10*b^4*d^6))^(1/3) - 162/(a^4*d^2 - a^2*b^2*d^2)) - 2*(17
*a^7*b - 164*a^5*b^3 + 224*a^3*b^5)*sin(d*x + c)) + 108*cos(d*x + c)*sin(d*x + c))/(a^2*d - (a*b*d*cos(d*x + c
)^2 - a*b*d)*sin(d*x + c))

Integral number [334] \[ \int \frac {1}{\left (a+b \sin ^3(c+d x)\right )^2} \, dx \]

[C]   time = 7.64422 (sec), size = 70185 ,normalized size = 5013.21 \[ \text {Too large to display} \]

[In]

integrate(1/(a+b*sin(d*x+c)^3)^2,x, algorithm=""fricas"")

[Out]

-1/108*(36*a*b*cos(d*x + c)^3 + 36*b^2*cos(d*x + c)*sin(d*x + c) - sqrt(2/3)*sqrt(1/2)*((a^4 - a^2*b^2)*d - ((
a^3*b - a*b^3)*d*cos(d*x + c)^2 - (a^3*b - a*b^3)*d)*sin(d*x + c))*sqrt(-(1458*a^4 + 486*a^2*b^2 - 486*b^4 - (
a^8 - 3*a^6*b^2 + 3*a^4*b^4 - a^2*b^6)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2
+ 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)
)/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1
/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 +
a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^
2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b
^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a
^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6
*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a
^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882
*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*
a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^2 + 3*sqrt(1/3)*(a^8 - 3*a^6*b
^2 + 3*a^4*b^4 - a^2*b^6)*d^2*sqrt(-(236196*a^8 - 3691656*a^6*b^2 + 4382748*a^4*b^4 - 1942056*a^2*b^6 + 306180
*b^8 + (a^16 - 6*a^14*b^2 + 15*a^12*b^4 - 20*a^10*b^6 + 15*a^8*b^8 - 6*a^6*b^10 + a^4*b^12)*((-I*sqrt(3) + 1)*
(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^
10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6
- 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2
+ 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d
^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a
^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3)
+ 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6)
- 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^
4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^
6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 +
64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4
*d^2 - a^2*b^6*d^2))^2*d^4 - 324*(3*a^12 - 8*a^10*b^2 + 5*a^8*b^4 + 3*a^6*b^6 - 4*a^4*b^8 + a^2*b^10)*((-I*sqr
t(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 1
1*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/
(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a
^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3
*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/10628
82*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*
(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^1
0*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/3
9366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*
d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*
a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 +
3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^2)/((a^16 - 6*a^14*b^2 + 15*a^12*b^4 - 20*a^10*b^6 + 15*a^8*b^8 - 6*a^6*b^10
+ a^4*b^12)*d^4)))/((a^8 - 3*a^6*b^2 + 3*a^4*b^4 - a^2*b^6)*d^2))*log(364500*a^10*b - 601884*a^8*b^3 + 412016*
a^6*b^5 - 146112*a^4*b^7 + 26880*a^2*b^9 - 2048*b^11 + 1/1458*(594*a^19 - 2417*a^17*b^2 + 3931*a^15*b^4 - 3263
*a^13*b^6 + 1463*a^11*b^8 - 340*a^9*b^10 + 32*a^7*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^
2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d
^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 -
a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 +
1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a
^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 6
24*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2
*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3
/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)
/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*
d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6)
)^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))^2*d^4*sin(d*x +
c) - 1/9*(5589*a^15 - 4842*a^13*b^2 - 190*a^11*b^4 + 1470*a^9*b^6 - 552*a^7*b^8 + 64*a^5*b^10)*((-I*sqrt(3) +
1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)
/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*
d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2
*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b
^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(33
75*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqr
t(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*
d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(
3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 -
3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^
6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4
*b^4*d^2 - a^2*b^6*d^2))*d^2*sin(d*x + c) + 1/8748*sqrt(2/3)*sqrt(1/2)*((378*a^21 - 1463*a^19*b^2 + 2215*a^17*
b^4 - 1655*a^15*b^6 + 635*a^13*b^8 - 118*a^11*b^10 + 8*a^9*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^
2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*
a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b
^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*
d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^
6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^
4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4
- 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2
- b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2
- 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 -
a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*
a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))^2*d^5*
cos(d*x + c) - 54*(8829*a^17 + 84*a^15*b^2 - 12778*a^13*b^4 + 10894*a^11*b^6 - 4104*a^9*b^8 + 784*a^7*b^10 - 6
4*a^5*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*
d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 43
2*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b
^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11
*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2
*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10
*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 +
3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 -
a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4
- a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 +
2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d
^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^3*cos(d*x + c) + 2916*(48843*a^13 - 62721*a^11*b^2 + 3154
9*a^9*b^4 - 7866*a^7*b^6 + 1032*a^5*b^8 - 64*a^3*b^10)*d*cos(d*x + c) + 3*sqrt(1/3)*((378*a^21 - 1463*a^19*b^2
+ 2215*a^17*b^4 - 1655*a^15*b^6 + 635*a^13*b^8 - 118*a^11*b^10 + 8*a^9*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^
2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8
*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d
^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d
^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4
*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*
b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062
882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*
a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 -
b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*
a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((
a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6
*d^2))*d^5*cos(d*x + c) - 54*(1377*a^17 - 5565*a^15*b^2 + 8953*a^13*b^4 - 7303*a^11*b^6 + 3186*a^9*b^8 - 712*a
^7*b^10 + 64*a^5*b^12)*d^3*cos(d*x + c))*sqrt(-(236196*a^8 - 3691656*a^6*b^2 + 4382748*a^4*b^4 - 1942056*a^2*b
^6 + 306180*b^8 + (a^16 - 6*a^14*b^2 + 15*a^12*b^4 - 20*a^10*b^6 + 15*a^8*b^8 - 6*a^6*b^10 + a^4*b^12)*((-I*sq
rt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 -
11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)
/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*
a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 -
3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062
882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187
*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^
10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/
39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8
*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624
*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2
+ 3*a^4*b^4*d^2 - a^2*b^6*d^2))^2*d^4 - 324*(3*a^12 - 8*a^10*b^2 + 5*a^8*b^4 + 3*a^6*b^6 - 4*a^4*b^8 + a^2*b^1
0)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 -
(27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2
+ 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^
8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a
^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)
) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1
/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^
4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d
^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6
*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4
*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^
6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^2)/((a^16 - 6*a^14*b^2 + 15*a^12*b^4 - 20*a^10*b^6 + 15*a^8*b^8 -
6*a^6*b^10 + a^4*b^12)*d^4)))*sqrt(-(1458*a^4 + 486*a^2*b^2 - 486*b^4 - (a^8 - 3*a^6*b^2 + 3*a^4*b^4 - a^2*b^6
)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (
27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2
+ 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8
*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^
10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))
+ 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/
3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4
*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^
2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*
d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*
b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6
*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^2 + 3*sqrt(1/3)*(a^8 - 3*a^6*b^2 + 3*a^4*b^4 - a^2*b^6)*d^2*sqrt(-(
236196*a^8 - 3691656*a^6*b^2 + 4382748*a^4*b^4 - 1942056*a^2*b^6 + 306180*b^8 + (a^16 - 6*a^14*b^2 + 15*a^12*b
^4 - 20*a^10*b^6 + 15*a^8*b^8 - 6*a^6*b^10 + a^4*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2
- 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^
4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a
^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1
/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^
8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 62
4*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*
b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/
(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/
((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d
^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))
^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))^2*d^4 - 324*(3*a
^12 - 8*a^10*b^2 + 5*a^8*b^4 + 3*a^6*b^6 - 4*a^4*b^8 + a^2*b^10)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^
2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*
a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b
^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*
d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^
6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^
4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4
- 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2
- b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2
- 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 -
a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*
a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^2)/(
(a^16 - 6*a^14*b^2 + 15*a^12*b^4 - 20*a^10*b^6 + 15*a^8*b^8 - 6*a^6*b^10 + a^4*b^12)*d^4)))/((a^8 - 3*a^6*b^2
+ 3*a^4*b^4 - a^2*b^6)*d^2)) + 1/486*sqrt(1/3)*((594*a^19 - 2417*a^17*b^2 + 3931*a^15*b^4 - 3263*a^13*b^6 + 14
63*a^11*b^8 - 340*a^9*b^10 + 32*a^7*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*
d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d
^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6)
- 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4
+ a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6
*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 6
4*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)
/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*
a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 -
3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062
882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*
(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^4*sin(d*x + c) + 162*(243*a
^15 - 909*a^13*b^2 + 1301*a^11*b^4 - 879*a^9*b^6 + 276*a^7*b^8 - 32*a^5*b^10)*d^2*sin(d*x + c))*sqrt(-(236196*
a^8 - 3691656*a^6*b^2 + 4382748*a^4*b^4 - 1942056*a^2*b^6 + 306180*b^8 + (a^16 - 6*a^14*b^2 + 15*a^12*b^4 - 20
*a^10*b^6 + 15*a^8*b^8 - 6*a^6*b^10 + a^4*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^
6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4
*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6
*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*
(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 -
3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b
^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 6
4*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^
2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*
d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) +
1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3)
+ 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))^2*d^4 - 324*(3*a^12 - 8
*a^10*b^2 + 5*a^8*b^4 + 3*a^6*b^6 - 4*a^4*b^8 + a^2*b^10)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*
d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4
*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6
- a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3
+ 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*
(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 -
624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a
^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)
^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^
2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^
6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^
6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^2)/((a^16 -
6*a^14*b^2 + 15*a^12*b^4 - 20*a^10*b^6 + 15*a^8*b^8 - 6*a^6*b^10 + a^4*b^12)*d^4)) + 6*(34263*a^11 - 48249*a^
9*b^2 + 26165*a^7*b^4 - 6460*a^5*b^6 + 608*a^3*b^8)*sin(d*x + c)) + sqrt(2/3)*sqrt(1/2)*((a^4 - a^2*b^2)*d - (
(a^3*b - a*b^3)*d*cos(d*x + c)^2 - (a^3*b - a*b^3)*d)*sin(d*x + c))*sqrt(-(1458*a^4 + 486*a^2*b^2 - 486*b^4 -
(a^8 - 3*a^6*b^2 + 3*a^4*b^4 - a^2*b^6)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^
2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4
))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) -
1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 +
a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b
^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*
b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(
a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^
6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*
a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/106288
2*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3
*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^2 - 3*sqrt(1/3)*(a^8 - 3*a^6*
b^2 + 3*a^4*b^4 - a^2*b^6)*d^2*sqrt(-(236196*a^8 - 3691656*a^6*b^2 + 4382748*a^4*b^4 - 1942056*a^2*b^6 + 30618
0*b^8 + (a^16 - 6*a^14*b^2 + 15*a^12*b^4 - 20*a^10*b^6 + 15*a^8*b^8 - 6*a^6*b^10 + a^4*b^12)*((-I*sqrt(3) + 1)
*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a
^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6
- 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^
2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*
d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*
a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3
) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6
) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a
^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a
^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 +
64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^
4*d^2 - a^2*b^6*d^2))^2*d^4 - 324*(3*a^12 - 8*a^10*b^2 + 5*a^8*b^4 + 3*a^6*b^6 - 4*a^4*b^8 + a^2*b^10)*((-I*sq
rt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 -
11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)
/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*
a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 -
3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062
882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187
*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^
10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/
39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8
*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624
*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2
+ 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^2)/((a^16 - 6*a^14*b^2 + 15*a^12*b^4 - 20*a^10*b^6 + 15*a^8*b^8 - 6*a^6*b^10
+ a^4*b^12)*d^4)))/((a^8 - 3*a^6*b^2 + 3*a^4*b^4 - a^2*b^6)*d^2))*log(364500*a^10*b - 601884*a^8*b^3 + 412016
*a^6*b^5 - 146112*a^4*b^7 + 26880*a^2*b^9 - 2048*b^11 + 1/1458*(594*a^19 - 2417*a^17*b^2 + 3931*a^15*b^4 - 326
3*a^13*b^6 + 1463*a^11*b^8 - 340*a^9*b^10 + 32*a^7*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d
^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*
d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 -
a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 +
1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(
a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 -
624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^
2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^
3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2
)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6
*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6
))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))^2*d^4*sin(d*x
+ c) - 1/9*(5589*a^15 - 4842*a^13*b^2 - 190*a^11*b^4 + 1470*a^9*b^6 - 552*a^7*b^8 + 64*a^5*b^10)*((-I*sqrt(3)
+ 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2
)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16
*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^
2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*
b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3
375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sq
rt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6
*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*
(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 -
3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b
^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^
4*b^4*d^2 - a^2*b^6*d^2))*d^2*sin(d*x + c) - 1/8748*sqrt(2/3)*sqrt(1/2)*((378*a^21 - 1463*a^19*b^2 + 2215*a^17
*b^4 - 1655*a^15*b^6 + 635*a^13*b^8 - 118*a^11*b^10 + 8*a^9*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)
^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3
*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*
b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6
*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b
^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a
^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4
- 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^
2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2
- 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2
- a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6
*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))^2*d^5
*cos(d*x + c) - 54*(8829*a^17 + 84*a^15*b^2 - 12778*a^13*b^4 + 10894*a^11*b^6 - 4104*a^9*b^8 + 784*a^7*b^10 -
64*a^5*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6
*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 4
32*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 -
b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 1
1*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^
2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^1
0*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 +
3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 -
a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4
- a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2
+ 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*
d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^3*cos(d*x + c) + 2916*(48843*a^13 - 62721*a^11*b^2 + 315
49*a^9*b^4 - 7866*a^7*b^6 + 1032*a^5*b^8 - 64*a^3*b^10)*d*cos(d*x + c) - 3*sqrt(1/3)*((378*a^21 - 1463*a^19*b^
2 + 2215*a^17*b^4 - 1655*a^15*b^6 + 635*a^13*b^8 - 118*a^11*b^10 + 8*a^9*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a
^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^
8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*
d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*
d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^
4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6
*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/106
2882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3
*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 -
b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3
*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/(
(a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^
6*d^2))*d^5*cos(d*x + c) - 54*(1377*a^17 - 5565*a^15*b^2 + 8953*a^13*b^4 - 7303*a^11*b^6 + 3186*a^9*b^8 - 712*
a^7*b^10 + 64*a^5*b^12)*d^3*cos(d*x + c))*sqrt(-(236196*a^8 - 3691656*a^6*b^2 + 4382748*a^4*b^4 - 1942056*a^2*
b^6 + 306180*b^8 + (a^16 - 6*a^14*b^2 + 15*a^12*b^4 - 20*a^10*b^6 + 15*a^8*b^8 - 6*a^6*b^10 + a^4*b^12)*((-I*s
qrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 -
11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4
)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3
*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 -
3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/106
2882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 218
7*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a
^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1
/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^
8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 62
4*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2
+ 3*a^4*b^4*d^2 - a^2*b^6*d^2))^2*d^4 - 324*(3*a^12 - 8*a^10*b^2 + 5*a^8*b^4 + 3*a^6*b^6 - 4*a^4*b^8 + a^2*b^
10)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 -
(27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^
2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a
^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((
a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2
)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(
1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b
^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*
d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^
6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^
4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a
^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^2)/((a^16 - 6*a^14*b^2 + 15*a^12*b^4 - 20*a^10*b^6 + 15*a^8*b^8 -
6*a^6*b^10 + a^4*b^12)*d^4)))*sqrt(-(1458*a^4 + 486*a^2*b^2 - 486*b^4 - (a^8 - 3*a^6*b^2 + 3*a^4*b^4 - a^2*b^
6)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 -
(27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2
+ 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^
8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a
^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)
) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1
/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^
4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d
^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6
*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4
*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^
6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^2 - 3*sqrt(1/3)*(a^8 - 3*a^6*b^2 + 3*a^4*b^4 - a^2*b^6)*d^2*sqrt(-
(236196*a^8 - 3691656*a^6*b^2 + 4382748*a^4*b^4 - 1942056*a^2*b^6 + 306180*b^8 + (a^16 - 6*a^14*b^2 + 15*a^12*
b^4 - 20*a^10*b^6 + 15*a^8*b^8 - 6*a^6*b^10 + a^4*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^
2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d
^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 -
a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 +
1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a
^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 6
24*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2
*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3
/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)
/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*
d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6)
)^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))^2*d^4 - 324*(3*
a^12 - 8*a^10*b^2 + 5*a^8*b^4 + 3*a^6*b^6 - 4*a^4*b^8 + a^2*b^10)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)
^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3
*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*
b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6
*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b
^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a
^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4
- 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^
2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2
- 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2
- a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6
*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^2)/
((a^16 - 6*a^14*b^2 + 15*a^12*b^4 - 20*a^10*b^6 + 15*a^8*b^8 - 6*a^6*b^10 + a^4*b^12)*d^4)))/((a^8 - 3*a^6*b^2
+ 3*a^4*b^4 - a^2*b^6)*d^2)) - 1/486*sqrt(1/3)*((594*a^19 - 2417*a^17*b^2 + 3931*a^15*b^4 - 3263*a^13*b^6 + 1
463*a^11*b^8 - 340*a^9*b^10 + 32*a^7*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2
*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*
d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6)
- 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^
4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^
6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 +
64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4
)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3
*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 -
3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/106
2882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162
*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^4*sin(d*x + c) + 162*(243*
a^15 - 909*a^13*b^2 + 1301*a^11*b^4 - 879*a^9*b^6 + 276*a^7*b^8 - 32*a^5*b^10)*d^2*sin(d*x + c))*sqrt(-(236196
*a^8 - 3691656*a^6*b^2 + 4382748*a^4*b^4 - 1942056*a^2*b^6 + 306180*b^8 + (a^16 - 6*a^14*b^2 + 15*a^12*b^4 - 2
0*a^10*b^6 + 15*a^8*b^8 - 6*a^6*b^10 + a^4*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a
^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^
4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^
6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366
*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2
- 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*
b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 +
64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d
^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10
*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) +
1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3)
+ 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))^2*d^4 - 324*(3*a^12 -
8*a^10*b^2 + 5*a^8*b^4 + 3*a^6*b^6 - 4*a^4*b^8 + a^2*b^10)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8
*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^
4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6
- a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3
+ 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)
*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4
- 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*
a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4
)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b
^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b
^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d
^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^2)/((a^16
- 6*a^14*b^2 + 15*a^12*b^4 - 20*a^10*b^6 + 15*a^8*b^8 - 6*a^6*b^10 + a^4*b^12)*d^4)) + 6*(34263*a^11 - 48249*a
^9*b^2 + 26165*a^7*b^4 - 6460*a^5*b^6 + 608*a^3*b^8)*sin(d*x + c)) + sqrt(2/3)*sqrt(1/2)*((a^4 - a^2*b^2)*d -
((a^3*b - a*b^3)*d*cos(d*x + c)^2 - (a^3*b - a*b^3)*d)*sin(d*x + c))*sqrt(-(1458*a^4 + 486*a^2*b^2 - 486*b^4 -
(a^8 - 3*a^6*b^2 + 3*a^4*b^4 - a^2*b^6)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d
^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^
4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) -
1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4
+ a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*
b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64
*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/
(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a
^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3
*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/10628
82*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(
3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^2 + 3*sqrt(1/3)*(a^8 - 3*a^6
*b^2 + 3*a^4*b^4 - a^2*b^6)*d^2*sqrt(-(236196*a^8 - 3691656*a^6*b^2 + 4382748*a^4*b^4 - 1942056*a^2*b^6 + 3061
80*b^8 + (a^16 - 6*a^14*b^2 + 15*a^12*b^4 - 20*a^10*b^6 + 15*a^8*b^8 - 6*a^6*b^10 + a^4*b^12)*((-I*sqrt(3) + 1
)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(
a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^
6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d
^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2
*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375
*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(
3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^
6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*
a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*
a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6
+ 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b
^4*d^2 - a^2*b^6*d^2))^2*d^4 - 324*(3*a^12 - 8*a^10*b^2 + 5*a^8*b^4 + 3*a^6*b^6 - 4*a^4*b^8 + a^2*b^10)*((-I*s
qrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 -
11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4
)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3
*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 -
3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/106
2882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 218
7*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a
^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1
/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^
8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 62
4*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2
+ 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^2)/((a^16 - 6*a^14*b^2 + 15*a^12*b^4 - 20*a^10*b^6 + 15*a^8*b^8 - 6*a^6*b^1
0 + a^4*b^12)*d^4)))/((a^8 - 3*a^6*b^2 + 3*a^4*b^4 - a^2*b^6)*d^2))*log(-364500*a^10*b + 601884*a^8*b^3 - 4120
16*a^6*b^5 + 146112*a^4*b^7 - 26880*a^2*b^9 + 2048*b^11 - 1/1458*(594*a^19 - 2417*a^17*b^2 + 3931*a^15*b^4 - 3
263*a^13*b^6 + 1463*a^11*b^8 - 340*a^9*b^10 + 32*a^7*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8
*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^
4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6
- a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3
+ 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)
*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4
- 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*
a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4
)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b
^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b
^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d
^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))^2*d^4*sin(d*
x + c) + 1/9*(5589*a^15 - 4842*a^13*b^2 - 190*a^11*b^4 + 1470*a^9*b^6 - 552*a^7*b^8 + 64*a^5*b^10)*((-I*sqrt(3
) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b
^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^
16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*
b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^
8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*
(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*
sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b
^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/3936
6*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2
- 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2
*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*
a^4*b^4*d^2 - a^2*b^6*d^2))*d^2*sin(d*x + c) + 1/8748*sqrt(2/3)*sqrt(1/2)*((378*a^21 - 1463*a^19*b^2 + 2215*a^
17*b^4 - 1655*a^15*b^6 + 635*a^13*b^8 - 118*a^11*b^10 + 8*a^9*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^
4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 +
3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^1
2*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b
^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4
*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460
*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a
^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*
b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a
^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^
2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)
^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))^2*d
^5*cos(d*x + c) - 54*(8829*a^17 + 84*a^15*b^2 - 12778*a^13*b^4 + 10894*a^11*b^6 - 4104*a^9*b^8 + 784*a^7*b^10
- 64*a^5*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b
^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 -
432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2
- b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 -
11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 -
a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a
^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6
+ 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2
- a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d
^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^
2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^
8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^3*cos(d*x + c) + 2916*(48843*a^13 - 62721*a^11*b^2 + 3
1549*a^9*b^4 - 7866*a^7*b^6 + 1032*a^5*b^8 - 64*a^3*b^10)*d*cos(d*x + c) + 3*sqrt(1/3)*((378*a^21 - 1463*a^19*
b^2 + 2215*a^17*b^4 - 1655*a^15*b^6 + 635*a^13*b^8 - 118*a^11*b^10 + 8*a^9*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4 +
a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*
a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^
2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^
4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*
b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a
^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1
062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*
(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2
- b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 +
3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2
/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*
b^6*d^2))*d^5*cos(d*x + c) - 54*(1377*a^17 - 5565*a^15*b^2 + 8953*a^13*b^4 - 7303*a^11*b^6 + 3186*a^9*b^8 - 71
2*a^7*b^10 + 64*a^5*b^12)*d^3*cos(d*x + c))*sqrt(-(236196*a^8 - 3691656*a^6*b^2 + 4382748*a^4*b^4 - 1942056*a^
2*b^6 + 306180*b^8 + (a^16 - 6*a^14*b^2 + 15*a^12*b^4 - 20*a^10*b^6 + 15*a^8*b^8 - 6*a^6*b^10 + a^4*b^12)*((-I
*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2
- 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b
^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 -
3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4
- 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1
062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2
187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 -
a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 +
1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(
a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 -
624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d
^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))^2*d^4 - 324*(3*a^12 - 8*a^10*b^2 + 5*a^8*b^4 + 3*a^6*b^6 - 4*a^4*b^8 + a^2*
b^10)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2
- (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*
b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/
(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/
((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d
^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))
^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12
*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^
6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*
b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*
a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3
*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^2)/((a^16 - 6*a^14*b^2 + 15*a^12*b^4 - 20*a^10*b^6 + 15*a^8*b^8
- 6*a^6*b^10 + a^4*b^12)*d^4)))*sqrt(-(1458*a^4 + 486*a^2*b^2 - 486*b^4 - (a^8 - 3*a^6*b^2 + 3*a^4*b^4 - a^2*
b^6)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2
- (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b
^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(
a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/(
(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^
2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^
(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*
b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6
*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b
^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a
^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*
a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^2 + 3*sqrt(1/3)*(a^8 - 3*a^6*b^2 + 3*a^4*b^4 - a^2*b^6)*d^2*sqrt
(-(236196*a^8 - 3691656*a^6*b^2 + 4382748*a^4*b^4 - 1942056*a^2*b^6 + 306180*b^8 + (a^16 - 6*a^14*b^2 + 15*a^1
2*b^4 - 20*a^10*b^6 + 15*a^8*b^8 - 6*a^6*b^10 + a^4*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*
d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4
*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6
- a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3
+ 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*
(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 -
624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a
^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)
^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^
2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^
6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^
6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))^2*d^4 - 324*(
3*a^12 - 8*a^10*b^2 + 5*a^8*b^4 + 3*a^6*b^6 - 4*a^4*b^8 + a^2*b^10)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^
4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 +
3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^1
2*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b
^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4
*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460
*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a
^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*
b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a
^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^
2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)
^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^2
)/((a^16 - 6*a^14*b^2 + 15*a^12*b^4 - 20*a^10*b^6 + 15*a^8*b^8 - 6*a^6*b^10 + a^4*b^12)*d^4)))/((a^8 - 3*a^6*b
^2 + 3*a^4*b^4 - a^2*b^6)*d^2)) - 1/486*sqrt(1/3)*((594*a^19 - 2417*a^17*b^2 + 3931*a^15*b^4 - 3263*a^13*b^6 +
1463*a^11*b^8 - 340*a^9*b^10 + 32*a^7*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b
^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^
6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^
6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*
a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*
a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6
+ 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b
^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 -
3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4
- 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1
062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 1
62*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^4*sin(d*x + c) + 162*(24
3*a^15 - 909*a^13*b^2 + 1301*a^11*b^4 - 879*a^9*b^6 + 276*a^7*b^8 - 32*a^5*b^10)*d^2*sin(d*x + c))*sqrt(-(2361
96*a^8 - 3691656*a^6*b^2 + 4382748*a^4*b^4 - 1942056*a^2*b^6 + 306180*b^8 + (a^16 - 6*a^14*b^2 + 15*a^12*b^4 -
20*a^10*b^6 + 15*a^8*b^8 - 6*a^6*b^10 + a^4*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3
*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 -
a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*
b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/393
66*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^
2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^
2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2
+ 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8
*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^
10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))
+ 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/
3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))^2*d^4 - 324*(3*a^12
- 8*a^10*b^2 + 5*a^8*b^4 + 3*a^6*b^6 - 4*a^4*b^8 + a^2*b^10)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a
^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*
b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d
^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)
^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^
4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^
4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 43
2*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b
^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11
*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2
*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10
*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^2)/((a^1
6 - 6*a^14*b^2 + 15*a^12*b^4 - 20*a^10*b^6 + 15*a^8*b^8 - 6*a^6*b^10 + a^4*b^12)*d^4)) - 6*(34263*a^11 - 48249
*a^9*b^2 + 26165*a^7*b^4 - 6460*a^5*b^6 + 608*a^3*b^8)*sin(d*x + c)) - sqrt(2/3)*sqrt(1/2)*((a^4 - a^2*b^2)*d
- ((a^3*b - a*b^3)*d*cos(d*x + c)^2 - (a^3*b - a*b^3)*d)*sin(d*x + c))*sqrt(-(1458*a^4 + 486*a^2*b^2 - 486*b^4
- (a^8 - 3*a^6*b^2 + 3*a^4*b^4 - a^2*b^6)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2
*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*
d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6)
- 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^
4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^
6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 +
64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4
)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3
*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 -
3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/106
2882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162
*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^2 - 3*sqrt(1/3)*(a^8 - 3*a
^6*b^2 + 3*a^4*b^4 - a^2*b^6)*d^2*sqrt(-(236196*a^8 - 3691656*a^6*b^2 + 4382748*a^4*b^4 - 1942056*a^2*b^6 + 30
6180*b^8 + (a^16 - 6*a^14*b^2 + 15*a^12*b^4 - 20*a^10*b^6 + 15*a^8*b^8 - 6*a^6*b^10 + a^4*b^12)*((-I*sqrt(3) +
1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)
/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*
d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2
*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b
^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(33
75*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqr
t(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*
d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(
3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 -
3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^
6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4
*b^4*d^2 - a^2*b^6*d^2))^2*d^4 - 324*(3*a^12 - 8*a^10*b^2 + 5*a^8*b^4 + 3*a^6*b^6 - 4*a^4*b^8 + a^2*b^10)*((-I
*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2
- 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b
^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 -
3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4
- 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1
062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2
187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 -
a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 +
1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(
a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 -
624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d
^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^2)/((a^16 - 6*a^14*b^2 + 15*a^12*b^4 - 20*a^10*b^6 + 15*a^8*b^8 - 6*a^6*b
^10 + a^4*b^12)*d^4)))/((a^8 - 3*a^6*b^2 + 3*a^4*b^4 - a^2*b^6)*d^2))*log(-364500*a^10*b + 601884*a^8*b^3 - 41
2016*a^6*b^5 + 146112*a^4*b^7 - 26880*a^2*b^9 + 2048*b^11 - 1/1458*(594*a^19 - 2417*a^17*b^2 + 3931*a^15*b^4 -
3263*a^13*b^6 + 1463*a^11*b^8 - 340*a^9*b^10 + 32*a^7*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a
^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*
b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d
^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)
^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^
4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^
4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 43
2*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b
^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11
*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2
*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10
*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))^2*d^4*sin(
d*x + c) + 1/9*(5589*a^15 - 4842*a^13*b^2 - 190*a^11*b^4 + 1470*a^9*b^6 - 552*a^7*b^8 + 64*a^5*b^10)*((-I*sqrt
(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11
*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(
a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^
6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*
a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/106288
2*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(
I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10
*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39
366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d
^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a
^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 +
3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^2*sin(d*x + c) - 1/8748*sqrt(2/3)*sqrt(1/2)*((378*a^21 - 1463*a^19*b^2 + 2215*
a^17*b^4 - 1655*a^15*b^6 + 635*a^13*b^8 - 118*a^11*b^10 + 8*a^9*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 -
b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4
+ 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a
^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2
*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a
^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 24
60*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729
*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^
2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27
*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*
d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^
2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))^2
*d^5*cos(d*x + c) - 54*(8829*a^17 + 84*a^15*b^2 - 12778*a^13*b^4 + 10894*a^11*b^6 - 4104*a^9*b^8 + 784*a^7*b^1
0 - 64*a^5*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2
*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4
- 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^
2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2
- 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2
- a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6
*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d
^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d
^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4
*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*
b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(
a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^3*cos(d*x + c) + 2916*(48843*a^13 - 62721*a^11*b^2 +
31549*a^9*b^4 - 7866*a^7*b^6 + 1032*a^5*b^8 - 64*a^3*b^10)*d*cos(d*x + c) - 3*sqrt(1/3)*((378*a^21 - 1463*a^1
9*b^2 + 2215*a^17*b^4 - 1655*a^15*b^6 + 635*a^13*b^8 - 118*a^11*b^10 + 8*a^9*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4
+ a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 -
3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*
b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*
b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^
6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573
*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1
/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/1968
3*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b
^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2
+ 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b
^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^
2*b^6*d^2))*d^5*cos(d*x + c) - 54*(1377*a^17 - 5565*a^15*b^2 + 8953*a^13*b^4 - 7303*a^11*b^6 + 3186*a^9*b^8 -
712*a^7*b^10 + 64*a^5*b^12)*d^3*cos(d*x + c))*sqrt(-(236196*a^8 - 3691656*a^6*b^2 + 4382748*a^4*b^4 - 1942056*
a^2*b^6 + 306180*b^8 + (a^16 - 6*a^14*b^2 + 15*a^12*b^4 - 20*a^10*b^6 + 15*a^8*b^8 - 6*a^6*b^10 + a^4*b^12)*((
-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a
^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64
*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2
- 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d
^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1
/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) +
2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6
- a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3
+ 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)
*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4
- 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2
*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))^2*d^4 - 324*(3*a^12 - 8*a^10*b^2 + 5*a^8*b^4 + 3*a^6*b^6 - 4*a^4*b^8 + a^
2*b^10)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)
^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^
2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^
3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2
)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6
*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6
))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^
12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*
b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^
4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 246
0*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 -
3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^2)/((a^16 - 6*a^14*b^2 + 15*a^12*b^4 - 20*a^10*b^6 + 15*a^8*b
^8 - 6*a^6*b^10 + a^4*b^12)*d^4)))*sqrt(-(1458*a^4 + 486*a^2*b^2 - 486*b^4 - (a^8 - 3*a^6*b^2 + 3*a^4*b^4 - a^
2*b^6)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^
2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2
*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3
/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)
/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*
d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6)
)^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^1
2*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b
^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4
*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460
*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 -
3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^2 - 3*sqrt(1/3)*(a^8 - 3*a^6*b^2 + 3*a^4*b^4 - a^2*b^6)*d^2*sq
rt(-(236196*a^8 - 3691656*a^6*b^2 + 4382748*a^4*b^4 - 1942056*a^2*b^6 + 306180*b^8 + (a^16 - 6*a^14*b^2 + 15*a
^12*b^4 - 20*a^10*b^6 + 15*a^8*b^8 - 6*a^6*b^10 + a^4*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^
8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b
^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^
6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^
3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4
)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4
- 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432
*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^
4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*
b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*
b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*
d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))^2*d^4 - 324
*(3*a^12 - 8*a^10*b^2 + 5*a^8*b^4 + 3*a^6*b^6 - 4*a^4*b^8 + a^2*b^10)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 -
b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4
+ 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a
^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2
*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a
^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 24
60*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729
*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^
2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27
*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*
d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^
2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d
^2)/((a^16 - 6*a^14*b^2 + 15*a^12*b^4 - 20*a^10*b^6 + 15*a^8*b^8 - 6*a^6*b^10 + a^4*b^12)*d^4)))/((a^8 - 3*a^6
*b^2 + 3*a^4*b^4 - a^2*b^6)*d^2)) + 1/486*sqrt(1/3)*((594*a^19 - 2417*a^17*b^2 + 3931*a^15*b^4 - 3263*a^13*b^6
+ 1463*a^11*b^8 - 340*a^9*b^10 + 32*a^7*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6
*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*
b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*
d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(
3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 -
3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^
6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64
*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2
- 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d
^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1
/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) +
162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^4*sin(d*x + c) + 162*(
243*a^15 - 909*a^13*b^2 + 1301*a^11*b^4 - 879*a^9*b^6 + 276*a^7*b^8 - 32*a^5*b^10)*d^2*sin(d*x + c))*sqrt(-(23
6196*a^8 - 3691656*a^6*b^2 + 4382748*a^4*b^4 - 1942056*a^2*b^6 + 306180*b^8 + (a^16 - 6*a^14*b^2 + 15*a^12*b^4
- 20*a^10*b^6 + 15*a^8*b^8 - 6*a^6*b^10 + a^4*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 -
3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4
- a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^1
0*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/3
9366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*
d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*
a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^
2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a
^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((
a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2
)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(
1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))^2*d^4 - 324*(3*a^1
2 - 8*a^10*b^2 + 5*a^8*b^4 + 3*a^6*b^6 - 4*a^4*b^8 + a^2*b^10)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/
(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^
6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4
*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^
2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*
d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*
b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 -
432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 -
b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 -
11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a
^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^
10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^2)/((a
^16 - 6*a^14*b^2 + 15*a^12*b^4 - 20*a^10*b^6 + 15*a^8*b^8 - 6*a^6*b^10 + a^4*b^12)*d^4)) - 6*(34263*a^11 - 482
49*a^9*b^2 + 26165*a^7*b^4 - 6460*a^5*b^6 + 608*a^3*b^8)*sin(d*x + c)) - 72*a*b*cos(d*x + c) - 54*((a^4 - a^2*
b^2)*d - ((a^3*b - a*b^3)*d*cos(d*x + c)^2 - (a^3*b - a*b^3)*d)*sin(d*x + c))*sqrt(-1/4374*(-I*sqrt(3) + 1)*(3
*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10
*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 -
3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 +
3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4
+ 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8
- 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) - 1/2*(I*sqrt(3) +
1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) -
1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 +
a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b
^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*
b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) - 1/27*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d
^2 - a^2*b^6*d^2))*log(182250*a^10*b - 300942*a^8*b^3 + 206008*a^6*b^5 - 73056*a^4*b^7 + 13440*a^2*b^9 - 1024*
b^11 - 1/1458*(594*a^19 - 2417*a^17*b^2 + 3931*a^15*b^4 - 3263*a^13*b^6 + 1463*a^11*b^8 - 340*a^9*b^10 + 32*a^
7*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)
^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^
2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^
3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2
)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6
*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6
))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^
12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*
b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^
4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 246
0*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 -
3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))^2*d^4*sin(d*x + c) + 1/9*(5589*a^15 - 4842*a^13*b^2 - 190*a^11*
b^4 + 1470*a^9*b^6 - 552*a^7*b^8 + 64*a^5*b^10)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^
6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4
*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6
*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*
(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 -
3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b
^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 6
4*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^
2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*
d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) +
1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3)
+ 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^2*sin(d*x + c) - 6*(3
4263*a^11 - 48249*a^9*b^2 + 26165*a^7*b^4 - 6460*a^5*b^6 + 608*a^3*b^8)*sin(d*x + c) - 1/162*((378*a^21 - 1463
*a^19*b^2 + 2215*a^17*b^4 - 1655*a^15*b^6 + 635*a^13*b^8 - 118*a^11*b^10 + 8*a^9*b^12)*((-I*sqrt(3) + 1)*(3*(3
*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^
4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a
^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*
a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 +
3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 -
4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)
*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/
19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a
^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2
*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^
8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2
- a^2*b^6*d^2))^2*d^5*cos(d*x + c) - 54*(8829*a^17 + 84*a^15*b^2 - 12778*a^13*b^4 + 10894*a^11*b^6 - 4104*a^9*
b^8 + 784*a^7*b^10 - 64*a^5*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*
a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1
/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/1968
3*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b
^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2
+ 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b
^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d
^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*
d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^
2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(337
5*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 +
a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^3*cos(d*x + c) + 2916*(48843*a^13 -
72846*a^11*b^2 + 45268*a^9*b^4 - 15246*a^7*b^6 + 2904*a^5*b^8 - 256*a^3*b^10)*d*cos(d*x + c))*sqrt(-1/4374*(-
I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^
2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*
b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2
- 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^
4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/
1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) -
1/2*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 -
a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 +
1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(
a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 -
624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) - 1/27*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*
d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))) + 54*((a^4 - a^2*b^2)*d - ((a^3*b - a*b^3)*d*cos(d*x + c)^2 - (a^3*b - a*
b^3)*d)*sin(d*x + c))*sqrt(-1/4374*(-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*
a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1
/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/1968
3*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b
^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2
+ 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b
^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) - 1/2*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^
6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d
^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2
*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375
*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) - 1/27*(3*a^4 +
a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))*log(-182250*a^10*b + 300942*a^8*b^3 -
206008*a^6*b^5 + 73056*a^4*b^7 - 13440*a^2*b^9 + 1024*b^11 + 1/1458*(594*a^19 - 2417*a^17*b^2 + 3931*a^15*b^4
- 3263*a^13*b^6 + 1463*a^11*b^8 - 340*a^9*b^10 + 32*a^7*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/
(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^
6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4
*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^
2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*
d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*
b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 -
432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 -
b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 -
11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a
^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^
10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))^2*d^4*si
n(d*x + c) - 1/9*(5589*a^15 - 4842*a^13*b^2 - 190*a^11*b^4 + 1470*a^9*b^6 - 552*a^7*b^8 + 64*a^5*b^10)*((-I*sq
rt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 -
11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)
/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*
a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 -
3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062
882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187
*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^
10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/
39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8
*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624
*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2
+ 3*a^4*b^4*d^2 - a^2*b^6*d^2))*d^2*sin(d*x + c) + 6*(34263*a^11 - 48249*a^9*b^2 + 26165*a^7*b^4 - 6460*a^5*b^
6 + 608*a^3*b^8)*sin(d*x + c) - 1/162*((378*a^21 - 1463*a^19*b^2 + 2215*a^17*b^4 - 1655*a^15*b^6 + 635*a^13*b^
8 - 118*a^11*b^10 + 8*a^9*b^12)*((-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^
4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1
062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*
(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2
- b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 +
3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2
/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6
- 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^
2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*
d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*
a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a
^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))^2*d^5*cos(d*x + c) - 54*(8829*a^17 + 84
*a^15*b^2 - 12778*a^13*b^4 + 10894*a^11*b^6 - 4104*a^9*b^8 + 784*a^7*b^10 - 64*a^5*b^12)*((-I*sqrt(3) + 1)*(3*
(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*
d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3
*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 +
3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4
+ 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8
- 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 2187*(I*sqrt(3) +
1)*(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) -
1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 +
a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b
^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*
b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) + 162*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^
2 - a^2*b^6*d^2))*d^3*cos(d*x + c) + 2916*(48843*a^13 - 72846*a^11*b^2 + 45268*a^9*b^4 - 15246*a^7*b^6 + 2904*
a^5*b^8 - 256*a^3*b^10)*d*cos(d*x + c))*sqrt(-1/4374*(-I*sqrt(3) + 1)*(3*(3*a^4 + a^2*b^2 - b^4)^2/(a^8*d^2 -
3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^2 - (27*a^2 - 11*b^2)/(a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 -
a^4*b^6*d^4))/(-1/1062882*(729*a^4 - 432*a^2*b^2 + 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10
*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39
366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d
^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)) + 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a
^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/3) - 1/2*(I*sqrt(3) + 1)*(-1/1062882*(729*a^4 - 432*a^2*b^2
+ 64*b^4)/(a^16*d^6 - 3*a^14*b^2*d^6 + 3*a^12*b^4*d^6 - a^10*b^6*d^6) - 1/19683*(3*a^4 + a^2*b^2 - b^4)^3/(a^8
*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2)^3 + 1/39366*(3*a^4 + a^2*b^2 - b^4)*(27*a^2 - 11*b^2)/((a^
10*d^4 - 3*a^8*b^2*d^4 + 3*a^6*b^4*d^4 - a^4*b^6*d^4)*(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))
+ 1/1062882*(3375*a^8 - 4573*a^6*b^2 + 2460*a^4*b^4 - 624*a^2*b^6 + 64*b^8)*b^2/((a^2 - b^2)^6*a^10*d^6))^(1/
3) - 1/27*(3*a^4 + a^2*b^2 - b^4)/(a^8*d^2 - 3*a^6*b^2*d^2 + 3*a^4*b^4*d^2 - a^2*b^6*d^2))))/((a^4 - a^2*b^2)*
d - ((a^3*b - a*b^3)*d*cos(d*x + c)^2 - (a^3*b - a*b^3)*d)*sin(d*x + c))

Integral number [335] \[ \int \frac {\sec ^2(c+d x)}{\left (a+b \sin ^3(c+d x)\right )^2} \, dx \]

[C]   time = 40.6066 (sec), size = 102913 ,normalized size = 4474.48 \[ \text {Too large to display} \]

[In]

integrate(sec(d*x+c)^2/(a+b*sin(d*x+c)^3)^2,x, algorithm=""fricas"")

[Out]

1/108*(108*(a^3*b + 2*a*b^3)*cos(d*x + c)^4 - 108*a^3*b + 108*a*b^3 - sqrt(2)*sqrt(1/2)*((a^6 - 2*a^4*b^2 + a^
2*b^4)*d*cos(d*x + c) - ((a^5*b - 2*a^3*b^3 + a*b^5)*d*cos(d*x + c)^3 - (a^5*b - 2*a^3*b^3 + a*b^5)*d*cos(d*x
+ c))*sin(d*x + c))*sqrt(-(5670*a^6*b^2 + 31590*a^4*b^4 + 2916*a^2*b^6 - 810*b^8 - (a^12 - 5*a^10*b^2 + 10*a^8
*b^4 - 10*a^6*b^6 + 5*a^4*b^8 - a^2*b^10)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2
/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b
^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/1
9683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^
6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18
*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*
b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 +
5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a
^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 -
37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683
*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^
2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2
*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4
+ 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^
6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b
^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 3774
0*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18
*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)
)*d^2 + 3*sqrt(1/3)*(a^12 - 5*a^10*b^2 + 10*a^8*b^4 - 10*a^6*b^6 + 5*a^4*b^8 - a^2*b^10)*d^2*sqrt((5467500*a^1
2*b^4 + 146179080*a^10*b^6 + 288552780*a^8*b^8 + 116085960*a^6*b^10 - 45717048*a^4*b^12 + 6298560*a^2*b^14 - 3
06180*b^16 - (a^24 - 10*a^22*b^2 + 45*a^20*b^4 - 120*a^18*b^6 + 210*a^16*b^8 - 252*a^14*b^10 + 210*a^12*b^12 -
120*a^10*b^14 + 45*a^8*b^16 - 10*a^6*b^18 + a^4*b^20)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b
^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 -
45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^1
0*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^
2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20
*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b
^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a
^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^
4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 3074
75*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) +
1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 -
10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6
- 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 +
195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b
^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^
8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a
^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195
*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 -
a^2*b^10*d^2))^2*d^4 + 108*(35*a^18*b^2 + 20*a^16*b^4 - 607*a^14*b^6 + 1505*a^12*b^8 - 1570*a^10*b^10 + 710*a^
8*b^12 - 55*a^6*b^14 - 43*a^4*b^16 + 5*a^2*b^18)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5
*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(1
0*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)
)/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10
*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 -
5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 1
95*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6
*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*
d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6
*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-
1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6
*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a
^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a
^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4
+ 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2
- a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8
- 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b
^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^
10*d^2))*d^2)/((a^24 - 10*a^22*b^2 + 45*a^20*b^4 - 120*a^18*b^6 + 210*a^16*b^8 - 252*a^14*b^10 + 210*a^12*b^12
- 120*a^10*b^14 + 45*a^8*b^16 - 10*a^6*b^18 + a^4*b^20)*d^4)))/((a^12 - 5*a^10*b^2 + 10*a^8*b^4 - 10*a^6*b^6
+ 5*a^4*b^8 - a^2*b^10)*d^2))*log(7812500*a^16*b^3 + 479187500*a^14*b^5 - 18269500*a^12*b^7 - 548148052*a^10*b
^9 + 188768060*a^8*b^11 - 28709200*a^6*b^13 + 2367680*a^4*b^15 - 106240*a^2*b^17 + 2048*b^19 - 1/162*(3125*a^2
7 + 42925*a^25*b^2 - 229635*a^23*b^4 + 385770*a^21*b^6 - 204510*a^19*b^8 - 125307*a^17*b^10 + 201885*a^15*b^12
- 87360*a^13*b^14 + 14175*a^11*b^16 - 1100*a^9*b^18 + 32*a^7*b^20)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b
^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*
b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*
d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 +
10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 +
64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1
458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b
^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b
^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a
^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729
*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a
^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b
^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*
(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d
^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d
^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b
^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*
a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a
^4*b^8*d^2 - a^2*b^10*d^2))^2*d^4*sin(d*x + c) + 1/3*(218750*a^21*b^2 + 8560625*a^19*b^4 + 36478724*a^17*b^6 +
22289615*a^15*b^8 - 5385700*a^13*b^10 - 80695*a^11*b^12 + 107510*a^9*b^14 - 10552*a^7*b^16 + 320*a^5*b^18)*((
-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2
- 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^
10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6
- 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/
1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6
+ 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)
/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*
a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 9593
75*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^
4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*
b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062
882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5
*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a
^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10
*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a
^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((
a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2
+ 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))*d^2*sin(d*x + c) + 1/972*sqrt(2)*sqrt(1/2)
*((1625*a^29 + 36046*a^27*b^2 - 163881*a^25*b^4 + 213510*a^23*b^6 + 15855*a^21*b^8 - 274068*a^19*b^10 + 248289
*a^17*b^12 - 87954*a^15*b^14 + 11160*a^13*b^16 - 590*a^11*b^18 + 8*a^9*b^20)*((-I*sqrt(3) + 1)*((35*a^6*b^2 +
195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d
^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5
*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b
^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a
^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d
^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 +
10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 -
10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 -
1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1
/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d
^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b
^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6)
+ 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a
^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*
a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094
705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3)
+ 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*
d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))^2*d^5*cos(d*x + c) - 18*(371875*a^23*b^2 + 17385825*a^21*b^4 + 89633928*a
^19*b^6 + 76413303*a^17*b^8 - 9497193*a^15*b^10 - 2729625*a^13*b^12 + 666195*a^11*b^14 - 60144*a^9*b^16 + 2784
*a^7*b^18 - 64*a^5*b^20)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^
10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d
^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2
+ 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8
*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^1
6*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6
- 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a
^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1
/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 +
2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 19
5*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2
- a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^
4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*
b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b
^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/106
2882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320
*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)
/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))*d^3*cos(d*x + c
) + 324*(781250*a^19*b^2 + 46212500*a^17*b^4 + 253989575*a^15*b^6 + 187100801*a^13*b^8 - 58777420*a^11*b^10 +
6223907*a^9*b^12 - 286186*a^7*b^14 + 5816*a^5*b^16 - 64*a^3*b^18)*d*cos(d*x + c) + 3*sqrt(1/3)*((1625*a^29 + 3
6046*a^27*b^2 - 163881*a^25*b^4 + 213510*a^23*b^6 + 15855*a^21*b^8 - 274068*a^19*b^10 + 248289*a^17*b^12 - 879
54*a^15*b^14 + 11160*a^13*b^16 - 590*a^11*b^18 + 8*a^9*b^20)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18
*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^
2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a
^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*
b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)
/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35
*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4
- 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2
+ 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6
+ 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqr
t(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*
d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^
20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6
*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10
*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*
a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 30
7475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2
+ 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*
d^2 - a^2*b^10*d^2))*d^5*cos(d*x + c) - 18*(140000*a^23*b^2 - 620085*a^21*b^4 + 977487*a^19*b^6 - 484056*a^17*
b^8 - 339114*a^15*b^10 + 510315*a^13*b^12 - 216285*a^11*b^14 + 34098*a^9*b^16 - 2424*a^7*b^18 + 64*a^5*b^20)*d
^3*cos(d*x + c))*sqrt((5467500*a^12*b^4 + 146179080*a^10*b^6 + 288552780*a^8*b^8 + 116085960*a^6*b^10 - 457170
48*a^4*b^12 + 6298560*a^2*b^14 - 306180*b^16 - (a^24 - 10*a^22*b^2 + 45*a^20*b^4 - 120*a^18*b^6 + 210*a^16*b^8
- 252*a^14*b^10 + 210*a^12*b^12 - 120*a^10*b^14 + 45*a^8*b^16 - 10*a^6*b^18 + a^4*b^20)*((-I*sqrt(3) + 1)*((3
5*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 +
5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8
*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^
2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*
b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 -
a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^1
2*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a
^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861
*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a
^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 -
5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4
- 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^1
0*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^
2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b
^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^1
0*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*
d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 -
10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))^2*d^4 + 108*(35*a^18*b^2 + 20*a^16*b^4 - 607*a^14*b^6 + 1505*
a^12*b^8 - 1570*a^10*b^10 + 710*a^8*b^12 - 55*a^6*b^14 - 43*a^4*b^16 + 5*a^2*b^18)*((-I*sqrt(3) + 1)*((35*a^6*
b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4
*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d
^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*
a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 -
2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*
b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*
d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4
*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*
b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^
6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10
*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000
*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10
*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4
+ 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2
- 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4
- 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^
(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^
6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))*d^2)/((a^24 - 10*a^22*b^2 + 45*a^20*b^4 - 120*a^18*b^6 + 210*a^16*b
^8 - 252*a^14*b^10 + 210*a^12*b^12 - 120*a^10*b^14 + 45*a^8*b^16 - 10*a^6*b^18 + a^4*b^20)*d^4)))*sqrt(-(5670*
a^6*b^2 + 31590*a^4*b^4 + 2916*a^2*b^6 - 810*b^8 - (a^12 - 5*a^10*b^2 + 10*a^8*b^4 - 10*a^6*b^6 + 5*a^4*b^8 -
a^2*b^10)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10
*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2
*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 +
18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10
*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*
a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^
2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a
^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625
*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 -
64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*
a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2
)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14
*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^
4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*
d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^1
4 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*
b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*
a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))*d^2 + 3*sqrt(1/3)*(a^12 - 5*a^
10*b^2 + 10*a^8*b^4 - 10*a^6*b^6 + 5*a^4*b^8 - a^2*b^10)*d^2*sqrt((5467500*a^12*b^4 + 146179080*a^10*b^6 + 288
552780*a^8*b^8 + 116085960*a^6*b^10 - 45717048*a^4*b^12 + 6298560*a^2*b^14 - 306180*b^16 - (a^24 - 10*a^22*b^2
+ 45*a^20*b^4 - 120*a^18*b^6 + 210*a^16*b^8 - 252*a^14*b^10 + 210*a^12*b^12 - 120*a^10*b^14 + 45*a^8*b^16 - 1
0*a^6*b^18 + a^4*b^20)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10
*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4
- 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 +
195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d
^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*
b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 -
5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4
*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1
062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 23
20*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*
a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 -
a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*
d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^
8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^1
0*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/10628
82*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a
^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(
a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))^2*d^4 + 108*(35*a
^18*b^2 + 20*a^16*b^4 - 607*a^14*b^6 + 1505*a^12*b^8 - 1570*a^10*b^10 + 710*a^8*b^12 - 55*a^6*b^14 - 43*a^4*b^
16 + 5*a^2*b^18)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d
^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a
^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^
4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a
^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^
6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)
*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*
d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882
*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2
*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^
4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b
^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 -
10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10
*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)
*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15
625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^1
2 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d
^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))*d^2)/((a^24 - 10*a^22*b
^2 + 45*a^20*b^4 - 120*a^18*b^6 + 210*a^16*b^8 - 252*a^14*b^10 + 210*a^12*b^12 - 120*a^10*b^14 + 45*a^8*b^16 -
10*a^6*b^18 + a^4*b^20)*d^4)))/((a^12 - 5*a^10*b^2 + 10*a^8*b^4 - 10*a^6*b^6 + 5*a^4*b^8 - a^2*b^10)*d^2)) -
1/54*sqrt(1/3)*((3125*a^27 + 42925*a^25*b^2 - 229635*a^23*b^4 + 385770*a^21*b^6 - 204510*a^19*b^8 - 125307*a^1
7*b^10 + 201885*a^15*b^12 - 87360*a^13*b^14 + 14175*a^11*b^16 - 1100*a^9*b^18 + 32*a^7*b^20)*((-I*sqrt(3) + 1)
*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d
^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10
*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^1
2*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*
a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d
^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5
*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 +
10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 2
4861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^
10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^
2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*
b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 -
a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^1
2*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a
^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861
*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a
^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d
^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))*d^4*sin(d*x + c) - 54*(109375*a^21*b^2 - 584750*a^19*b^4
+ 1287601*a^17*b^6 - 1495040*a^15*b^8 + 971185*a^13*b^10 - 345110*a^11*b^12 + 61855*a^9*b^14 - 5276*a^7*b^16 +
160*a^5*b^18)*d^2*sin(d*x + c))*sqrt((5467500*a^12*b^4 + 146179080*a^10*b^6 + 288552780*a^8*b^8 + 116085960*a
^6*b^10 - 45717048*a^4*b^12 + 6298560*a^2*b^14 - 306180*b^16 - (a^24 - 10*a^22*b^2 + 45*a^20*b^4 - 120*a^18*b^
6 + 210*a^16*b^8 - 252*a^14*b^10 + 210*a^12*b^12 - 120*a^10*b^14 + 45*a^8*b^16 - 10*a^6*b^18 + a^4*b^20)*((-I*
sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 -
10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*
b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5
*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/106
2882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 +
5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((
a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^1
0*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*
a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/(
(a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8
)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882
*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^
12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14
*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^
2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12
*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2
- b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 +
10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))^2*d^4 + 108*(35*a^18*b^2 + 20*a^16*b^4 - 607*
a^14*b^6 + 1505*a^12*b^8 - 1570*a^10*b^10 + 710*a^8*b^12 - 55*a^6*b^14 - 43*a^4*b^16 + 5*a^2*b^18)*((-I*sqrt(3
) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6
*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^
4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^
3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(
15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12
*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d
^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*
d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b
^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 -
b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a
^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(1562
5*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8
*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 -
5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2
+ 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 +
24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2
)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8
*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))*d^2)/((a^24 - 10*a^22*b^2 + 45*a^20*b^4 - 120*a^18*
b^6 + 210*a^16*b^8 - 252*a^14*b^10 + 210*a^12*b^12 - 120*a^10*b^14 + 45*a^8*b^16 - 10*a^6*b^18 + a^4*b^20)*d^4
)) + 18*(1015625*a^15*b^4 - 32411250*a^13*b^6 - 28669215*a^11*b^8 + 10745945*a^9*b^10 - 1431207*a^7*b^12 + 881
40*a^5*b^14 - 2080*a^3*b^16)*sin(d*x + c)) + sqrt(2)*sqrt(1/2)*((a^6 - 2*a^4*b^2 + a^2*b^4)*d*cos(d*x + c) - (
(a^5*b - 2*a^3*b^3 + a*b^5)*d*cos(d*x + c)^3 - (a^5*b - 2*a^3*b^3 + a*b^5)*d*cos(d*x + c))*sin(d*x + c))*sqrt(
-(5670*a^6*b^2 + 31590*a^4*b^4 + 2916*a^2*b^6 - 810*b^8 - (a^12 - 5*a^10*b^2 + 10*a^8*b^4 - 10*a^6*b^6 + 5*a^4
*b^8 - a^2*b^10)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d
^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a
^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^
4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a
^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^
6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)
*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*
d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882
*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2
*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^
4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b
^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 -
10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10
*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)
*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15
625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^1
2 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d
^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))*d^2 - 3*sqrt(1/3)*(a^12
- 5*a^10*b^2 + 10*a^8*b^4 - 10*a^6*b^6 + 5*a^4*b^8 - a^2*b^10)*d^2*sqrt((5467500*a^12*b^4 + 146179080*a^10*b^
6 + 288552780*a^8*b^8 + 116085960*a^6*b^10 - 45717048*a^4*b^12 + 6298560*a^2*b^14 - 306180*b^16 - (a^24 - 10*a
^22*b^2 + 45*a^20*b^4 - 120*a^18*b^6 + 210*a^16*b^8 - 252*a^14*b^10 + 210*a^12*b^12 - 120*a^10*b^14 + 45*a^8*b
^16 - 10*a^6*b^18 + a^4*b^20)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 -
5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a
^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6
*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^
4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 1
0*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2
*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^
4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)
) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^
10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2
+ 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^
8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^
16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6
- 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 -
a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) -
1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 +
2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5
*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))^2*d^4 + 10
8*(35*a^18*b^2 + 20*a^16*b^4 - 607*a^14*b^6 + 1505*a^12*b^8 - 1570*a^10*b^10 + 710*a^8*b^12 - 55*a^6*b^14 - 43
*a^4*b^16 + 5*a^2*b^18)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^1
0*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^
4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 +
195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*
d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16
*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 -
5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^
4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/
1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2
320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195
*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2
- a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4
*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b
^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^
10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062
882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*
a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/
(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))*d^2)/((a^24 - 10
*a^22*b^2 + 45*a^20*b^4 - 120*a^18*b^6 + 210*a^16*b^8 - 252*a^14*b^10 + 210*a^12*b^12 - 120*a^10*b^14 + 45*a^8
*b^16 - 10*a^6*b^18 + a^4*b^20)*d^4)))/((a^12 - 5*a^10*b^2 + 10*a^8*b^4 - 10*a^6*b^6 + 5*a^4*b^8 - a^2*b^10)*d
^2))*log(7812500*a^16*b^3 + 479187500*a^14*b^5 - 18269500*a^12*b^7 - 548148052*a^10*b^9 + 188768060*a^8*b^11 -
28709200*a^6*b^13 + 2367680*a^4*b^15 - 106240*a^2*b^17 + 2048*b^19 - 1/162*(3125*a^27 + 42925*a^25*b^2 - 2296
35*a^23*b^4 + 385770*a^21*b^6 - 204510*a^19*b^8 - 125307*a^17*b^10 + 201885*a^15*b^12 - 87360*a^13*b^14 + 1417
5*a^11*b^16 - 1100*a^9*b^18 + 32*a^7*b^20)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^
2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*
b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/
19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b
^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^1
8*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4
*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 +
5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 -
a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 -
37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/1968
3*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d
^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^
2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4
+ 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a
^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*
b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 377
40*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 1
8*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2
))^2*d^4*sin(d*x + c) + 1/3*(218750*a^21*b^2 + 8560625*a^19*b^4 + 36478724*a^17*b^6 + 22289615*a^15*b^8 - 5385
700*a^13*b^10 - 80695*a^11*b^12 + 107510*a^9*b^14 - 10552*a^7*b^16 + 320*a^5*b^18)*((-I*sqrt(3) + 1)*((35*a^6*
b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4
*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d
^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*
a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 -
2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*
b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*
d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4
*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*
b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^
6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10
*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000
*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10
*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4
+ 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2
- 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4
- 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^
(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^
6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))*d^2*sin(d*x + c) - 1/972*sqrt(2)*sqrt(1/2)*((1625*a^29 + 36046*a^27
*b^2 - 163881*a^25*b^4 + 213510*a^23*b^6 + 15855*a^21*b^8 - 274068*a^19*b^10 + 248289*a^17*b^12 - 87954*a^15*b
^14 + 11160*a^13*b^16 - 590*a^11*b^18 + 8*a^9*b^20)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6
- 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45
*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d
^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 -
10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^
6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2
+ 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*
b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b
^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*
a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)
*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*
a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 -
5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 19
5*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*
d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d
^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*
b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^
4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2
*b^10*d^2))^2*d^5*cos(d*x + c) - 18*(371875*a^23*b^2 + 17385825*a^21*b^4 + 89633928*a^19*b^6 + 76413303*a^17*b
^8 - 9497193*a^15*b^10 - 2729625*a^13*b^12 + 666195*a^11*b^14 - 60144*a^9*b^16 + 2784*a^7*b^18 - 64*a^5*b^20)*
((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d
^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*
a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^
6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 -
1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d
^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^
6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 -
5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 95
9375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*
b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 -
5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/10
62882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 +
5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/(
(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^
10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375
*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/
((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d
^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))*d^3*cos(d*x + c) + 324*(781250*a^19*b^2
+ 46212500*a^17*b^4 + 253989575*a^15*b^6 + 187100801*a^13*b^8 - 58777420*a^11*b^10 + 6223907*a^9*b^12 - 286186
*a^7*b^14 + 5816*a^5*b^16 - 64*a^3*b^18)*d*cos(d*x + c) - 3*sqrt(1/3)*((1625*a^29 + 36046*a^27*b^2 - 163881*a^
25*b^4 + 213510*a^23*b^6 + 15855*a^21*b^8 - 274068*a^19*b^10 + 248289*a^17*b^12 - 87954*a^15*b^14 + 11160*a^13
*b^16 - 590*a^11*b^18 + 8*a^9*b^20)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12
*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b
^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(
35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2
+ 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d
^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 +
18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*
b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^1
0*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*
a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a
^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*
a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 +
10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a
^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*
d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^
2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*
b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b
^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))*d^5*
cos(d*x + c) - 18*(140000*a^23*b^2 - 620085*a^21*b^4 + 977487*a^19*b^6 - 484056*a^17*b^8 - 339114*a^15*b^10 +
510315*a^13*b^12 - 216285*a^11*b^14 + 34098*a^9*b^16 - 2424*a^7*b^18 + 64*a^5*b^20)*d^3*cos(d*x + c))*sqrt((54
67500*a^12*b^4 + 146179080*a^10*b^6 + 288552780*a^8*b^8 + 116085960*a^6*b^10 - 45717048*a^4*b^12 + 6298560*a^2
*b^14 - 306180*b^16 - (a^24 - 10*a^22*b^2 + 45*a^20*b^4 - 120*a^18*b^6 + 210*a^16*b^8 - 252*a^14*b^10 + 210*a^
12*b^12 - 120*a^10*b^14 + 45*a^8*b^16 - 10*a^6*b^18 + a^4*b^20)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 +
18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10
*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4
- a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a
^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b
^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*
(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d
^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d
^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b
^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*
sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b
^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/
(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*
a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 -
10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 +
5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 +
307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*
b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b
^8*d^2 - a^2*b^10*d^2))^2*d^4 + 108*(35*a^18*b^2 + 20*a^16*b^4 - 607*a^14*b^6 + 1505*a^12*b^8 - 1570*a^10*b^10
+ 710*a^8*b^12 - 55*a^6*b^14 - 43*a^4*b^16 + 5*a^2*b^18)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^
2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^
2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*
b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4
*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a
^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^
6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 1
0*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5
*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 3
07475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3
) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2
- 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*
d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^
2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^
8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4
*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 30747
5*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 +
195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2
- a^2*b^10*d^2))*d^2)/((a^24 - 10*a^22*b^2 + 45*a^20*b^4 - 120*a^18*b^6 + 210*a^16*b^8 - 252*a^14*b^10 + 210*
a^12*b^12 - 120*a^10*b^14 + 45*a^8*b^16 - 10*a^6*b^18 + a^4*b^20)*d^4)))*sqrt(-(5670*a^6*b^2 + 31590*a^4*b^4 +
2916*a^2*b^6 - 810*b^8 - (a^12 - 5*a^10*b^2 + 10*a^8*b^4 - 10*a^6*b^6 + 5*a^4*b^8 - a^2*b^10)*((-I*sqrt(3) +
1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6
*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 -
10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a
^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(1562
5*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8
*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 -
5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2
+ 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 +
24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2
)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*
d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^
4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6
- a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a
^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10
*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 248
61*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10
*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4
*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))*d^2 - 3*sqrt(1/3)*(a^12 - 5*a^10*b^2 + 10*a^8*b^4 - 10*
a^6*b^6 + 5*a^4*b^8 - a^2*b^10)*d^2*sqrt((5467500*a^12*b^4 + 146179080*a^10*b^6 + 288552780*a^8*b^8 + 11608596
0*a^6*b^10 - 45717048*a^4*b^12 + 6298560*a^2*b^14 - 306180*b^16 - (a^24 - 10*a^22*b^2 + 45*a^20*b^4 - 120*a^18
*b^6 + 210*a^16*b^8 - 252*a^14*b^10 + 210*a^12*b^12 - 120*a^10*b^14 + 45*a^8*b^16 - 10*a^6*b^18 + a^4*b^20)*((
-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2
- 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^
10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6
- 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/
1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6
+ 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)
/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*
a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 9593
75*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^
4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*
b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062
882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5
*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a
^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10
*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a
^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((
a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2
+ 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))^2*d^4 + 108*(35*a^18*b^2 + 20*a^16*b^4 - 6
07*a^14*b^6 + 1505*a^12*b^8 - 1570*a^10*b^10 + 710*a^8*b^12 - 55*a^6*b^14 - 43*a^4*b^16 + 5*a^2*b^18)*((-I*sqr
t(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*
a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4
*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^
8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/106288
2*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a
^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^1
4*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b
^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^1
2*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^
2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3
/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(1
5625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*
b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^
4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d
^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^
2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 -
b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*
a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))*d^2)/((a^24 - 10*a^22*b^2 + 45*a^20*b^4 - 120*a^
18*b^6 + 210*a^16*b^8 - 252*a^14*b^10 + 210*a^12*b^12 - 120*a^10*b^14 + 45*a^8*b^16 - 10*a^6*b^18 + a^4*b^20)*
d^4)))/((a^12 - 5*a^10*b^2 + 10*a^8*b^4 - 10*a^6*b^6 + 5*a^4*b^8 - a^2*b^10)*d^2)) + 1/54*sqrt(1/3)*((3125*a^2
7 + 42925*a^25*b^2 - 229635*a^23*b^4 + 385770*a^21*b^6 - 204510*a^19*b^8 - 125307*a^17*b^10 + 201885*a^15*b^12
- 87360*a^13*b^14 + 14175*a^11*b^16 - 1100*a^9*b^18 + 32*a^7*b^20)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b
^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*
b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*
d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 +
10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 +
64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1
458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b
^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b
^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a
^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729
*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a
^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b
^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*
(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d
^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d
^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b
^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*
a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a
^4*b^8*d^2 - a^2*b^10*d^2))*d^4*sin(d*x + c) - 54*(109375*a^21*b^2 - 584750*a^19*b^4 + 1287601*a^17*b^6 - 1495
040*a^15*b^8 + 971185*a^13*b^10 - 345110*a^11*b^12 + 61855*a^9*b^14 - 5276*a^7*b^16 + 160*a^5*b^18)*d^2*sin(d*
x + c))*sqrt((5467500*a^12*b^4 + 146179080*a^10*b^6 + 288552780*a^8*b^8 + 116085960*a^6*b^10 - 45717048*a^4*b^
12 + 6298560*a^2*b^14 - 306180*b^16 - (a^24 - 10*a^22*b^2 + 45*a^20*b^4 - 120*a^18*b^6 + 210*a^16*b^8 - 252*a^
14*b^10 + 210*a^12*b^12 - 120*a^10*b^14 + 45*a^8*b^16 - 10*a^6*b^18 + a^4*b^20)*((-I*sqrt(3) + 1)*((35*a^6*b^2
+ 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^
8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4
+ 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^1
0*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 200
0*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^1
0*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4
+ 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^
2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4
- 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))
^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^
2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^
2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^
6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 1
0*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 -
10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1
094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/
3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b
^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))^2*d^4 + 108*(35*a^18*b^2 + 20*a^16*b^4 - 607*a^14*b^6 + 1505*a^12*b^8
- 1570*a^10*b^10 + 710*a^8*b^12 - 55*a^6*b^14 - 43*a^4*b^16 + 5*a^2*b^18)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195
*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2
- a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^
6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*
d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*
b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6)
+ 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*
a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10
*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 109
4705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3)
+ 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2
+ 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6
+ 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5
/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10
*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6
*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705
*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 5
4*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2
+ 5*a^4*b^8*d^2 - a^2*b^10*d^2))*d^2)/((a^24 - 10*a^22*b^2 + 45*a^20*b^4 - 120*a^18*b^6 + 210*a^16*b^8 - 252*
a^14*b^10 + 210*a^12*b^12 - 120*a^10*b^14 + 45*a^8*b^16 - 10*a^6*b^18 + a^4*b^20)*d^4)) + 18*(1015625*a^15*b^4
- 32411250*a^13*b^6 - 28669215*a^11*b^8 + 10745945*a^9*b^10 - 1431207*a^7*b^12 + 88140*a^5*b^14 - 2080*a^3*b^
16)*sin(d*x + c)) + sqrt(2)*sqrt(1/2)*((a^6 - 2*a^4*b^2 + a^2*b^4)*d*cos(d*x + c) - ((a^5*b - 2*a^3*b^3 + a*b^
5)*d*cos(d*x + c)^3 - (a^5*b - 2*a^3*b^3 + a*b^5)*d*cos(d*x + c))*sin(d*x + c))*sqrt(-(5670*a^6*b^2 + 31590*a^
4*b^4 + 2916*a^2*b^6 - 810*b^8 - (a^12 - 5*a^10*b^2 + 10*a^8*b^4 - 10*a^6*b^6 + 5*a^4*b^8 - a^2*b^10)*((-I*sqr
t(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*
a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4
*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^
8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/106288
2*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a
^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^1
4*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b
^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^1
2*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^
2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3
/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(1
5625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*
b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^
4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d
^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^
2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 -
b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*
a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))*d^2 + 3*sqrt(1/3)*(a^12 - 5*a^10*b^2 + 10*a^8*b^
4 - 10*a^6*b^6 + 5*a^4*b^8 - a^2*b^10)*d^2*sqrt((5467500*a^12*b^4 + 146179080*a^10*b^6 + 288552780*a^8*b^8 + 1
16085960*a^6*b^10 - 45717048*a^4*b^12 + 6298560*a^2*b^14 - 306180*b^16 - (a^24 - 10*a^22*b^2 + 45*a^20*b^4 - 1
20*a^18*b^6 + 210*a^16*b^8 - 252*a^14*b^10 + 210*a^12*b^12 - 120*a^10*b^14 + 45*a^8*b^16 - 10*a^6*b^18 + a^4*b
^20)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*
b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4
+ 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a
^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)
^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*
b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4
- b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d
^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14
+ 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b
^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b
^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 -
1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*
d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b
^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 -
5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 9
59375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)
*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*
b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))^2*d^4 + 108*(35*a^18*b^2 + 20*a^16*
b^4 - 607*a^14*b^6 + 1505*a^12*b^8 - 1570*a^10*b^10 + 710*a^8*b^12 - 55*a^6*b^14 - 43*a^4*b^16 + 5*a^2*b^18)*(
(-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^
2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a
^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6
- 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1
/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^
6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6
)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5
*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959
375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b
^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5
*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/106
2882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 +
5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((
a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^1
0*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*
a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/(
(a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^
2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))*d^2)/((a^24 - 10*a^22*b^2 + 45*a^20*b^4 -
120*a^18*b^6 + 210*a^16*b^8 - 252*a^14*b^10 + 210*a^12*b^12 - 120*a^10*b^14 + 45*a^8*b^16 - 10*a^6*b^18 + a^4
*b^20)*d^4)))/((a^12 - 5*a^10*b^2 + 10*a^8*b^4 - 10*a^6*b^6 + 5*a^4*b^8 - a^2*b^10)*d^2))*log(-7812500*a^16*b^
3 - 479187500*a^14*b^5 + 18269500*a^12*b^7 + 548148052*a^10*b^9 - 188768060*a^8*b^11 + 28709200*a^6*b^13 - 236
7680*a^4*b^15 + 106240*a^2*b^17 - 2048*b^19 + 1/162*(3125*a^27 + 42925*a^25*b^2 - 229635*a^23*b^4 + 385770*a^2
1*b^6 - 204510*a^19*b^8 - 125307*a^17*b^10 + 201885*a^15*b^12 - 87360*a^13*b^14 + 14175*a^11*b^16 - 1100*a^9*b
^18 + 32*a^7*b^20)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2
*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5
*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*
a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 -
a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*
d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^
8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^1
0*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/10628
82*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a
^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*
b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2
*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6
- 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(
10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^
4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(
15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b
^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12
*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))^2*d^4*sin(d*x + c) -
1/3*(218750*a^21*b^2 + 8560625*a^19*b^4 + 36478724*a^17*b^6 + 22289615*a^15*b^8 - 5385700*a^13*b^10 - 80695*a^
11*b^12 + 107510*a^9*b^14 - 10552*a^7*b^16 + 320*a^5*b^18)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a
^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)
^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4
*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^
4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(
a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a
^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 -
10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 +
5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 +
307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(
3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^
2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20
*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b
^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a
^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^
4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 3074
75*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 +
195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^
2 - a^2*b^10*d^2))*d^2*sin(d*x + c) + 1/972*sqrt(2)*sqrt(1/2)*((1625*a^29 + 36046*a^27*b^2 - 163881*a^25*b^4 +
213510*a^23*b^6 + 15855*a^21*b^8 - 274068*a^19*b^10 + 248289*a^17*b^12 - 87954*a^15*b^14 + 11160*a^13*b^16 -
590*a^11*b^18 + 8*a^9*b^20)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5
*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^1
4*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b
^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*
b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*
a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b
^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4
- a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))
- 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10
+ 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 +
195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*
d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16
*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 -
5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^
4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/
1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2
320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b
^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))^2*d^5*cos(d*
x + c) - 18*(371875*a^23*b^2 + 17385825*a^21*b^4 + 89633928*a^19*b^6 + 76413303*a^17*b^8 - 9497193*a^15*b^10 -
2729625*a^13*b^12 + 666195*a^11*b^14 - 60144*a^9*b^16 + 2784*a^7*b^18 - 64*a^5*b^20)*((-I*sqrt(3) + 1)*((35*a
^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*
a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^
6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 -
5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4
- 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^
10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b
^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*
b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^
10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10
*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a
^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2
000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b
^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d
^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*
d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b
^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6
))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10
*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))*d^3*cos(d*x + c) + 324*(781250*a^19*b^2 + 46212500*a^17*b^4 + 25
3989575*a^15*b^6 + 187100801*a^13*b^8 - 58777420*a^11*b^10 + 6223907*a^9*b^12 - 286186*a^7*b^14 + 5816*a^5*b^1
6 - 64*a^3*b^18)*d*cos(d*x + c) + 3*sqrt(1/3)*((1625*a^29 + 36046*a^27*b^2 - 163881*a^25*b^4 + 213510*a^23*b^6
+ 15855*a^21*b^8 - 274068*a^19*b^10 + 248289*a^17*b^12 - 87954*a^15*b^14 + 11160*a^13*b^16 - 590*a^11*b^18 +
8*a^9*b^20)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 +
10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b
^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4
+ 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^
10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 1
0*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*
a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*
(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(156
25*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12
- 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 1
8*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d
^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^
14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*
b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^1
2*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a
^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 6
4*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 -
5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))*d^5*cos(d*x + c) - 18*(14000
0*a^23*b^2 - 620085*a^21*b^4 + 977487*a^19*b^6 - 484056*a^17*b^8 - 339114*a^15*b^10 + 510315*a^13*b^12 - 21628
5*a^11*b^14 + 34098*a^9*b^16 - 2424*a^7*b^18 + 64*a^5*b^20)*d^3*cos(d*x + c))*sqrt((5467500*a^12*b^4 + 1461790
80*a^10*b^6 + 288552780*a^8*b^8 + 116085960*a^6*b^10 - 45717048*a^4*b^12 + 6298560*a^2*b^14 - 306180*b^16 - (a
^24 - 10*a^22*b^2 + 45*a^20*b^4 - 120*a^18*b^6 + 210*a^16*b^8 - 252*a^14*b^10 + 210*a^12*b^12 - 120*a^10*b^14
+ 45*a^8*b^16 - 10*a^6*b^18 + a^4*b^20)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(
a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4
- b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/196
83*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*
d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b
^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^
4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*
a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2
*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37
740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(
35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2
+ 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d
^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 +
18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*
b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^1
0*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*
a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a
^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))^
2*d^4 + 108*(35*a^18*b^2 + 20*a^16*b^4 - 607*a^14*b^6 + 1505*a^12*b^8 - 1570*a^10*b^10 + 710*a^8*b^12 - 55*a^6
*b^14 - 43*a^4*b^16 + 5*a^2*b^18)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d
^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6
)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35
*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 +
5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6
+ 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18
*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^
8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*
d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^
4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6
*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^
4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 1
0*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2
*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^
4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)
) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^
10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6
- 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))*d^2)/(
(a^24 - 10*a^22*b^2 + 45*a^20*b^4 - 120*a^18*b^6 + 210*a^16*b^8 - 252*a^14*b^10 + 210*a^12*b^12 - 120*a^10*b^1
4 + 45*a^8*b^16 - 10*a^6*b^18 + a^4*b^20)*d^4)))*sqrt(-(5670*a^6*b^2 + 31590*a^4*b^4 + 2916*a^2*b^6 - 810*b^8
- (a^12 - 5*a^10*b^2 + 10*a^8*b^4 - 10*a^6*b^6 + 5*a^4*b^8 - a^2*b^10)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^
4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a
^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b
^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2
+ 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6
+ 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) +
5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^1
0*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^
6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 109470
5*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) +
729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 1
0*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 6
4*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/14
58*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^
4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^
6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^
8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(
35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 +
5*a^4*b^8*d^2 - a^2*b^10*d^2))*d^2 + 3*sqrt(1/3)*(a^12 - 5*a^10*b^2 + 10*a^8*b^4 - 10*a^6*b^6 + 5*a^4*b^8 - a^
2*b^10)*d^2*sqrt((5467500*a^12*b^4 + 146179080*a^10*b^6 + 288552780*a^8*b^8 + 116085960*a^6*b^10 - 45717048*a^
4*b^12 + 6298560*a^2*b^14 - 306180*b^16 - (a^24 - 10*a^22*b^2 + 45*a^20*b^4 - 120*a^18*b^6 + 210*a^16*b^8 - 25
2*a^14*b^10 + 210*a^12*b^12 - 120*a^10*b^14 + 45*a^8*b^16 - 10*a^6*b^18 + a^4*b^20)*((-I*sqrt(3) + 1)*((35*a^6
*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^
4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*
d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5
*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 -
2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10
*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2
*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^
4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10
*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d
^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^1
0*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 200
0*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^1
0*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4
+ 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^
2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4
- 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))
^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a
^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))^2*d^4 + 108*(35*a^18*b^2 + 20*a^16*b^4 - 607*a^14*b^6 + 1505*a^12*
b^8 - 1570*a^10*b^10 + 710*a^8*b^12 - 55*a^6*b^14 - 43*a^4*b^16 + 5*a^2*b^18)*((-I*sqrt(3) + 1)*((35*a^6*b^2 +
195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*
d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 +
5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*
b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*
a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*
d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 +
10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2
- 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 -
1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(
1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*
d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*
b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6)
+ 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*
a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10
*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 109
4705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3)
+ 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6
*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))*d^2)/((a^24 - 10*a^22*b^2 + 45*a^20*b^4 - 120*a^18*b^6 + 210*a^16*b^8 -
252*a^14*b^10 + 210*a^12*b^12 - 120*a^10*b^14 + 45*a^8*b^16 - 10*a^6*b^18 + a^4*b^20)*d^4)))/((a^12 - 5*a^10*b
^2 + 10*a^8*b^4 - 10*a^6*b^6 + 5*a^4*b^8 - a^2*b^10)*d^2)) + 1/54*sqrt(1/3)*((3125*a^27 + 42925*a^25*b^2 - 229
635*a^23*b^4 + 385770*a^21*b^6 - 204510*a^19*b^8 - 125307*a^17*b^10 + 201885*a^15*b^12 - 87360*a^13*b^14 + 141
75*a^11*b^16 - 1100*a^9*b^18 + 32*a^7*b^20)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)
^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2
*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1
/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*
b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^
18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^
4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4
+ 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 -
a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8
- 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/196
83*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*
d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b
^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^
4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*
a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2
*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37
740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 +
18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^
2))*d^4*sin(d*x + c) - 54*(109375*a^21*b^2 - 584750*a^19*b^4 + 1287601*a^17*b^6 - 1495040*a^15*b^8 + 971185*a^
13*b^10 - 345110*a^11*b^12 + 61855*a^9*b^14 - 5276*a^7*b^16 + 160*a^5*b^18)*d^2*sin(d*x + c))*sqrt((5467500*a^
12*b^4 + 146179080*a^10*b^6 + 288552780*a^8*b^8 + 116085960*a^6*b^10 - 45717048*a^4*b^12 + 6298560*a^2*b^14 -
306180*b^16 - (a^24 - 10*a^22*b^2 + 45*a^20*b^4 - 120*a^18*b^6 + 210*a^16*b^8 - 252*a^14*b^10 + 210*a^12*b^12
- 120*a^10*b^14 + 45*a^8*b^16 - 10*a^6*b^18 + a^4*b^20)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*
b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2
- 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^
10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d
^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^2
0*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*
b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*
a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a
^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307
475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3)
+ 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 -
10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^
6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2
+ 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*
b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b
^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*
a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 19
5*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 -
a^2*b^10*d^2))^2*d^4 + 108*(35*a^18*b^2 + 20*a^16*b^4 - 607*a^14*b^6 + 1505*a^12*b^8 - 1570*a^10*b^10 + 710*a
^8*b^12 - 55*a^6*b^14 - 43*a^4*b^16 + 5*a^2*b^18)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 -
5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(
10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4
))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 1
0*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6
- 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 +
195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^
6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8
*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^
6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(
-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^
6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*
a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*
a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^
4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2
- a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^
8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*
b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b
^10*d^2))*d^2)/((a^24 - 10*a^22*b^2 + 45*a^20*b^4 - 120*a^18*b^6 + 210*a^16*b^8 - 252*a^14*b^10 + 210*a^12*b^1
2 - 120*a^10*b^14 + 45*a^8*b^16 - 10*a^6*b^18 + a^4*b^20)*d^4)) - 18*(1015625*a^15*b^4 - 32411250*a^13*b^6 - 2
8669215*a^11*b^8 + 10745945*a^9*b^10 - 1431207*a^7*b^12 + 88140*a^5*b^14 - 2080*a^3*b^16)*sin(d*x + c)) - sqrt
(2)*sqrt(1/2)*((a^6 - 2*a^4*b^2 + a^2*b^4)*d*cos(d*x + c) - ((a^5*b - 2*a^3*b^3 + a*b^5)*d*cos(d*x + c)^3 - (a
^5*b - 2*a^3*b^3 + a*b^5)*d*cos(d*x + c))*sin(d*x + c))*sqrt(-(5670*a^6*b^2 + 31590*a^4*b^4 + 2916*a^2*b^6 - 8
10*b^8 - (a^12 - 5*a^10*b^2 + 10*a^8*b^4 - 10*a^6*b^6 + 5*a^4*b^8 - a^2*b^10)*((-I*sqrt(3) + 1)*((35*a^6*b^2 +
195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*
d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 +
5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*
b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*
a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*
d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 +
10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2
- 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 -
1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(
1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*
d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*
b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6)
+ 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*
a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10
*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 109
4705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3)
+ 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6
*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))*d^2 - 3*sqrt(1/3)*(a^12 - 5*a^10*b^2 + 10*a^8*b^4 - 10*a^6*b^6 + 5*a^4*b
^8 - a^2*b^10)*d^2*sqrt((5467500*a^12*b^4 + 146179080*a^10*b^6 + 288552780*a^8*b^8 + 116085960*a^6*b^10 - 4571
7048*a^4*b^12 + 6298560*a^2*b^14 - 306180*b^16 - (a^24 - 10*a^22*b^2 + 45*a^20*b^4 - 120*a^18*b^6 + 210*a^16*b
^8 - 252*a^14*b^10 + 210*a^12*b^12 - 120*a^10*b^14 + 45*a^8*b^16 - 10*a^6*b^18 + a^4*b^20)*((-I*sqrt(3) + 1)*(
(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2
+ 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a
^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*
d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^
4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6
- a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a
^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10
*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 248
61*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10
*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2
- 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^
4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a
^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*
b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8
*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a
^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^1
0*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2
- 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))^2*d^4 + 108*(35*a^18*b^2 + 20*a^16*b^4 - 607*a^14*b^6 + 150
5*a^12*b^8 - 1570*a^10*b^10 + 710*a^8*b^12 - 55*a^6*b^14 - 43*a^4*b^16 + 5*a^2*b^18)*((-I*sqrt(3) + 1)*((35*a^
6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a
^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6
*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 -
5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4
- 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^1
0*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^
2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b
^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^1
0*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*
d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^
10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 20
00*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^
10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^
4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d
^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^
4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6)
)^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*
a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))*d^2)/((a^24 - 10*a^22*b^2 + 45*a^20*b^4 - 120*a^18*b^6 + 210*a^16
*b^8 - 252*a^14*b^10 + 210*a^12*b^12 - 120*a^10*b^14 + 45*a^8*b^16 - 10*a^6*b^18 + a^4*b^20)*d^4)))/((a^12 - 5
*a^10*b^2 + 10*a^8*b^4 - 10*a^6*b^6 + 5*a^4*b^8 - a^2*b^10)*d^2))*log(-7812500*a^16*b^3 - 479187500*a^14*b^5 +
18269500*a^12*b^7 + 548148052*a^10*b^9 - 188768060*a^8*b^11 + 28709200*a^6*b^13 - 2367680*a^4*b^15 + 106240*a
^2*b^17 - 2048*b^19 + 1/162*(3125*a^27 + 42925*a^25*b^2 - 229635*a^23*b^4 + 385770*a^21*b^6 - 204510*a^19*b^8
- 125307*a^17*b^10 + 201885*a^15*b^12 - 87360*a^13*b^14 + 14175*a^11*b^16 - 1100*a^9*b^18 + 32*a^7*b^20)*((-I*
sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 -
10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*
b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5
*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/106
2882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 +
5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((
a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^1
0*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*
a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/(
(a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8
)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882
*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^
12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14
*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^
2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12
*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2
- b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 +
10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))^2*d^4*sin(d*x + c) - 1/3*(218750*a^21*b^2 + 8
560625*a^19*b^4 + 36478724*a^17*b^6 + 22289615*a^15*b^8 - 5385700*a^13*b^10 - 80695*a^11*b^12 + 107510*a^9*b^1
4 - 10552*a^7*b^16 + 320*a^5*b^18)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*
d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^
6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(3
5*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 +
5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^
6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 1
8*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b
^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10
*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a
^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^
6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a
^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 +
10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^
2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d
^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2
)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b
^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^
6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))*d^2*s
in(d*x + c) - 1/972*sqrt(2)*sqrt(1/2)*((1625*a^29 + 36046*a^27*b^2 - 163881*a^25*b^4 + 213510*a^23*b^6 + 15855
*a^21*b^8 - 274068*a^19*b^10 + 248289*a^17*b^12 - 87954*a^15*b^14 + 11160*a^13*b^16 - 590*a^11*b^18 + 8*a^9*b^
20)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b
^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 +
10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^
2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^
3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b
^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4
- b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^
2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14
+ 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^
14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^
6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 -
1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d
^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^
6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 -
5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 95
9375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*
b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b
^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))^2*d^5*cos(d*x + c) - 18*(371875*a^23
*b^2 + 17385825*a^21*b^4 + 89633928*a^19*b^6 + 76413303*a^17*b^8 - 9497193*a^15*b^10 - 2729625*a^13*b^12 + 666
195*a^11*b^14 - 60144*a^9*b^16 + 2784*a^7*b^18 - 64*a^5*b^20)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 1
8*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d
^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 -
a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8
*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8
)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(3
5*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4
- 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2
+ 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6
+ 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sq
rt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4
*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a
^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^
6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 1
0*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5
*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 3
07475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^
2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8
*d^2 - a^2*b^10*d^2))*d^3*cos(d*x + c) + 324*(781250*a^19*b^2 + 46212500*a^17*b^4 + 253989575*a^15*b^6 + 18710
0801*a^13*b^8 - 58777420*a^11*b^10 + 6223907*a^9*b^12 - 286186*a^7*b^14 + 5816*a^5*b^16 - 64*a^3*b^18)*d*cos(d
*x + c) - 3*sqrt(1/3)*((1625*a^29 + 36046*a^27*b^2 - 163881*a^25*b^4 + 213510*a^23*b^6 + 15855*a^21*b^8 - 2740
68*a^19*b^10 + 248289*a^17*b^12 - 87954*a^15*b^14 + 11160*a^13*b^16 - 590*a^11*b^18 + 8*a^9*b^20)*((-I*sqrt(3)
+ 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*
b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4
- 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3
/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(1
5625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*
b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^
4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d
^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^
2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 -
b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^
12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625
*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*
d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 -
5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 +
10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 +
24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)
^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*
b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))*d^5*cos(d*x + c) - 18*(140000*a^23*b^2 - 620085*a^21
*b^4 + 977487*a^19*b^6 - 484056*a^17*b^8 - 339114*a^15*b^10 + 510315*a^13*b^12 - 216285*a^11*b^14 + 34098*a^9*
b^16 - 2424*a^7*b^18 + 64*a^5*b^20)*d^3*cos(d*x + c))*sqrt((5467500*a^12*b^4 + 146179080*a^10*b^6 + 288552780*
a^8*b^8 + 116085960*a^6*b^10 - 45717048*a^4*b^12 + 6298560*a^2*b^14 - 306180*b^16 - (a^24 - 10*a^22*b^2 + 45*a
^20*b^4 - 120*a^18*b^6 + 210*a^16*b^8 - 252*a^14*b^10 + 210*a^12*b^12 - 120*a^10*b^14 + 45*a^8*b^16 - 10*a^6*b
^18 + a^4*b^20)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^
2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^
12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4
*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^
2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6
- 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*
(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d
^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*
(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*
b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4
+ 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^
10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 1
0*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*
a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*
(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(156
25*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12
- 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^
2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))^2*d^4 + 108*(35*a^18*b^2
+ 20*a^16*b^4 - 607*a^14*b^6 + 1505*a^12*b^8 - 1570*a^10*b^10 + 710*a^8*b^12 - 55*a^6*b^14 - 43*a^4*b^16 + 5*
a^2*b^18)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10
*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2
*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 +
18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10
*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*
a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^
2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a
^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625
*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 -
64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*
a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2
)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14
*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^
4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*
d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^1
4 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*
b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*
a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))*d^2)/((a^24 - 10*a^22*b^2 + 45
*a^20*b^4 - 120*a^18*b^6 + 210*a^16*b^8 - 252*a^14*b^10 + 210*a^12*b^12 - 120*a^10*b^14 + 45*a^8*b^16 - 10*a^6
*b^18 + a^4*b^20)*d^4)))*sqrt(-(5670*a^6*b^2 + 31590*a^4*b^4 + 2916*a^2*b^6 - 810*b^8 - (a^12 - 5*a^10*b^2 + 1
0*a^8*b^4 - 10*a^6*b^6 + 5*a^4*b^8 - a^2*b^10)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b
^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*
a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/
(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a
^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5
*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195
*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d
^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^
2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b
^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/
19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b
^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^1
8*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4
*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 +
5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 -
a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 -
37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4
+ 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10
*d^2))*d^2 - 3*sqrt(1/3)*(a^12 - 5*a^10*b^2 + 10*a^8*b^4 - 10*a^6*b^6 + 5*a^4*b^8 - a^2*b^10)*d^2*sqrt((546750
0*a^12*b^4 + 146179080*a^10*b^6 + 288552780*a^8*b^8 + 116085960*a^6*b^10 - 45717048*a^4*b^12 + 6298560*a^2*b^1
4 - 306180*b^16 - (a^24 - 10*a^22*b^2 + 45*a^20*b^4 - 120*a^18*b^6 + 210*a^16*b^8 - 252*a^14*b^10 + 210*a^12*b
^12 - 120*a^10*b^14 + 45*a^8*b^16 - 10*a^6*b^18 + a^4*b^20)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*
a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2
)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^
4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b
^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/
(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*
a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 -
10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 +
5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 +
307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt
(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d
^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^2
0*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*
b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*
a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a
^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307
475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2
+ 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d
^2 - a^2*b^10*d^2))^2*d^4 + 108*(35*a^18*b^2 + 20*a^16*b^4 - 607*a^14*b^6 + 1505*a^12*b^8 - 1570*a^10*b^10 + 7
10*a^8*b^12 - 55*a^6*b^14 - 43*a^4*b^16 + 5*a^2*b^18)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^
6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 -
45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10
*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2
- 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*
d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^
2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^
8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4
*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 30747
5*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) +
1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 1
0*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6
- 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 +
195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^
6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8
*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^
6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*
a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a
^2*b^10*d^2))*d^2)/((a^24 - 10*a^22*b^2 + 45*a^20*b^4 - 120*a^18*b^6 + 210*a^16*b^8 - 252*a^14*b^10 + 210*a^12
*b^12 - 120*a^10*b^14 + 45*a^8*b^16 - 10*a^6*b^18 + a^4*b^20)*d^4)))/((a^12 - 5*a^10*b^2 + 10*a^8*b^4 - 10*a^6
*b^6 + 5*a^4*b^8 - a^2*b^10)*d^2)) - 1/54*sqrt(1/3)*((3125*a^27 + 42925*a^25*b^2 - 229635*a^23*b^4 + 385770*a^
21*b^6 - 204510*a^19*b^8 - 125307*a^17*b^10 + 201885*a^15*b^12 - 87360*a^13*b^14 + 14175*a^11*b^16 - 1100*a^9*
b^18 + 32*a^7*b^20)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^
2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 -
5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195
*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2
- a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4
*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b
^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^
10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062
882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*
a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4
*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^
2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6
- 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*
(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d
^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*
(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*
b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^1
2*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))*d^4*sin(d*x + c) - 5
4*(109375*a^21*b^2 - 584750*a^19*b^4 + 1287601*a^17*b^6 - 1495040*a^15*b^8 + 971185*a^13*b^10 - 345110*a^11*b^
12 + 61855*a^9*b^14 - 5276*a^7*b^16 + 160*a^5*b^18)*d^2*sin(d*x + c))*sqrt((5467500*a^12*b^4 + 146179080*a^10*
b^6 + 288552780*a^8*b^8 + 116085960*a^6*b^10 - 45717048*a^4*b^12 + 6298560*a^2*b^14 - 306180*b^16 - (a^24 - 10
*a^22*b^2 + 45*a^20*b^4 - 120*a^18*b^6 + 210*a^16*b^8 - 252*a^14*b^10 + 210*a^12*b^12 - 120*a^10*b^14 + 45*a^8
*b^16 - 10*a^6*b^18 + a^4*b^20)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2
- 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/
(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a
^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*
a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 +
10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a
^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*
d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^
2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*
b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b
^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*
b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*
a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b
^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4
- a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))
- 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10
+ 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 -
5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))^2*d^4 +
108*(35*a^18*b^2 + 20*a^16*b^4 - 607*a^14*b^6 + 1505*a^12*b^8 - 1570*a^10*b^10 + 710*a^8*b^12 - 55*a^6*b^14 -
43*a^4*b^16 + 5*a^2*b^18)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a
^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*
d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2
+ 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^
8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^
16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6
- 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 -
a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) -
1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 +
2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 1
95*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^
2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b
^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5
*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*
b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/10
62882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 232
0*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8
)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))*d^2)/((a^24 -
10*a^22*b^2 + 45*a^20*b^4 - 120*a^18*b^6 + 210*a^16*b^8 - 252*a^14*b^10 + 210*a^12*b^12 - 120*a^10*b^14 + 45*a
^8*b^16 - 10*a^6*b^18 + a^4*b^20)*d^4)) - 18*(1015625*a^15*b^4 - 32411250*a^13*b^6 - 28669215*a^11*b^8 + 10745
945*a^9*b^10 - 1431207*a^7*b^12 + 88140*a^5*b^14 - 2080*a^3*b^16)*sin(d*x + c)) - 36*(7*a^3*b + 11*a*b^3)*cos(
d*x + c)^2 - 54*((a^6 - 2*a^4*b^2 + a^2*b^4)*d*cos(d*x + c) - ((a^5*b - 2*a^3*b^3 + a*b^5)*d*cos(d*x + c)^3 -
(a^5*b - 2*a^3*b^3 + a*b^5)*d*cos(d*x + c))*sin(d*x + c))*sqrt(-1/1458*(-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4
*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^
2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^
8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2
+ 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6
+ 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5
/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10
*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6
*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705
*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) - 1
/2*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10
*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64
*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/145
8*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4
*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6
*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8
*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) - 1/27*
(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 +
5*a^4*b^8*d^2 - a^2*b^10*d^2))*log(3906250*a^16*b^3 + 239593750*a^14*b^5 - 9134750*a^12*b^7 - 274074026*a^10*
b^9 + 94384030*a^8*b^11 - 14354600*a^6*b^13 + 1183840*a^4*b^15 - 53120*a^2*b^17 + 1024*b^19 + 1/162*(3125*a^27
+ 42925*a^25*b^2 - 229635*a^23*b^4 + 385770*a^21*b^6 - 204510*a^19*b^8 - 125307*a^17*b^10 + 201885*a^15*b^12
- 87360*a^13*b^14 + 14175*a^11*b^16 - 1100*a^9*b^18 + 32*a^7*b^20)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^
4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b
^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d
^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 1
0*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 6
4*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/14
58*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^
4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^
6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^
8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*
(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^
8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^
8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(
35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^
4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^
2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^
6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a
^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^
4*b^8*d^2 - a^2*b^10*d^2))^2*d^4*sin(d*x + c) - 1/3*(218750*a^21*b^2 + 8560625*a^19*b^4 + 36478724*a^17*b^6 +
22289615*a^15*b^8 - 5385700*a^13*b^10 - 80695*a^11*b^12 + 107510*a^9*b^14 - 10552*a^7*b^16 + 320*a^5*b^18)*((-
I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2
- 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^1
0*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 -
5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1
062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6
+ 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/
((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a
^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 95937
5*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4
/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b
^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/10628
82*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*
a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^
14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*
b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^
12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a
^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2
+ 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))*d^2*sin(d*x + c) - 18*(1015625*a^15*b^4 - 3
2411250*a^13*b^6 - 28669215*a^11*b^8 + 10745945*a^9*b^10 - 1431207*a^7*b^12 + 88140*a^5*b^14 - 2080*a^3*b^16)*
sin(d*x + c) - 1/18*((1625*a^29 + 36046*a^27*b^2 - 163881*a^25*b^4 + 213510*a^23*b^6 + 15855*a^21*b^8 - 274068
*a^19*b^10 + 248289*a^17*b^12 - 87954*a^15*b^14 + 11160*a^13*b^16 - 590*a^11*b^18 + 8*a^9*b^20)*((-I*sqrt(3) +
1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^
6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 -
10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(
a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(156
25*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^
8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4
- 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2
+ 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2
+ 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^
2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12
*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a
^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^
6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*
a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 1
0*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24
861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^1
0*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^
4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))^2*d^5*cos(d*x + c) - 18*(371875*a^23*b^2 + 17385825*a^
21*b^4 + 89633928*a^19*b^6 + 76413303*a^17*b^8 - 9497193*a^15*b^10 - 2729625*a^13*b^12 + 666195*a^11*b^14 - 60
144*a^9*b^16 + 2784*a^7*b^18 - 64*a^5*b^20)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)
^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2
*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1
/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*
b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^
18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^
4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4
+ 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 -
a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8
- 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/196
83*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*
d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b
^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^
4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*
a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2
*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37
740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 +
18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^
2))*d^3*cos(d*x + c) - 324*(390625*a^19*b^2 + 25412500*a^17*b^4 - 272271875*a^15*b^6 - 269725757*a^13*b^8 + 10
4826850*a^11*b^10 - 15511382*a^9*b^12 + 1252726*a^7*b^14 - 59336*a^5*b^16 + 1408*a^3*b^18)*d*cos(d*x + c))*sqr
t(-1/1458*(-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*
a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*
d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 +
18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*
d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a
^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2
*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^
12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*
a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 -
64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) - 1/2*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a
^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)
^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*
b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4
- b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d
^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14
+ 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b
^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) - 1/27*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5
*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))) + 54*((a^6 - 2*a^4*b^2 + a^2
*b^4)*d*cos(d*x + c) - ((a^5*b - 2*a^3*b^3 + a*b^5)*d*cos(d*x + c)^3 - (a^5*b - 2*a^3*b^3 + a*b^5)*d*cos(d*x +
c))*sin(d*x + c))*sqrt(-1/1458*(-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2
- 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(
a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^
6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a
^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 +
10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^
2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d
^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2
)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b
^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) - 1/2*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^
2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b
^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a
^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^
6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 -
a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) -
1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10
+ 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) - 1/27*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6
- 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))*log(-39
06250*a^16*b^3 - 239593750*a^14*b^5 + 9134750*a^12*b^7 + 274074026*a^10*b^9 - 94384030*a^8*b^11 + 14354600*a^6
*b^13 - 1183840*a^4*b^15 + 53120*a^2*b^17 - 1024*b^19 - 1/162*(3125*a^27 + 42925*a^25*b^2 - 229635*a^23*b^4 +
385770*a^21*b^6 - 204510*a^19*b^8 - 125307*a^17*b^10 + 201885*a^15*b^12 - 87360*a^13*b^14 + 14175*a^11*b^16 -
1100*a^9*b^18 + 32*a^7*b^20)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 -
5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^
14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*
b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4
*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10
*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*
b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4
- a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))
- 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^1
0 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2
+ 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8
*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^1
6*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6
- 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a
^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1
/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 +
2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*
b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))^2*d^4*sin(d
*x + c) + 1/3*(218750*a^21*b^2 + 8560625*a^19*b^4 + 36478724*a^17*b^6 + 22289615*a^15*b^8 - 5385700*a^13*b^10
- 80695*a^11*b^12 + 107510*a^9*b^14 - 10552*a^7*b^16 + 320*a^5*b^18)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*
b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2
*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8
*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 +
10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 +
64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/
1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*
b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*
b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*
a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 72
9*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*
a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*
b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458
*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*
d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*
d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*
b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35
*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*
a^4*b^8*d^2 - a^2*b^10*d^2))*d^2*sin(d*x + c) + 18*(1015625*a^15*b^4 - 32411250*a^13*b^6 - 28669215*a^11*b^8 +
10745945*a^9*b^10 - 1431207*a^7*b^12 + 88140*a^5*b^14 - 2080*a^3*b^16)*sin(d*x + c) - 1/18*((1625*a^29 + 3604
6*a^27*b^2 - 163881*a^25*b^4 + 213510*a^23*b^6 + 15855*a^21*b^8 - 274068*a^19*b^10 + 248289*a^17*b^12 - 87954*
a^15*b^14 + 11160*a^13*b^16 - 590*a^11*b^18 + 8*a^9*b^20)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^
2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^
2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*
b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4
*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a
^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^
6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 1
0*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5
*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 3
07475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3
) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2
- 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*
d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^
2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^
8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4
*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 30747
5*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 +
195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2
- a^2*b^10*d^2))^2*d^5*cos(d*x + c) - 18*(371875*a^23*b^2 + 17385825*a^21*b^4 + 89633928*a^19*b^6 + 76413303*
a^17*b^8 - 9497193*a^15*b^10 - 2729625*a^13*b^12 + 666195*a^11*b^14 - 60144*a^9*b^16 + 2784*a^7*b^18 - 64*a^5*
b^20)*((-I*sqrt(3) + 1)*((35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8
*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4
+ 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*
a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2
)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14
*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^
4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*
d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^1
4 + 959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*
b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*
b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3
- 1/1062882*(15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6
*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 -
b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2
- 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 +
959375*a^12*b^2 + 24861*a^10*b^4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14
)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1/3) + 54*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10
*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))*d^3*cos(d*x + c) - 324*(390625*a^1
9*b^2 + 25412500*a^17*b^4 - 272271875*a^15*b^6 - 269725757*a^13*b^8 + 104826850*a^11*b^10 - 15511382*a^9*b^12
+ 1252726*a^7*b^14 - 59336*a^5*b^16 + 1408*a^3*b^18)*d*cos(d*x + c))*sqrt(-1/1458*(-I*sqrt(3) + 1)*((35*a^6*b^
2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^2/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b
^8*d^2 - a^2*b^10*d^2)^2 - 45*(10*a^2*b^4 - b^6)/(a^14*d^4 - 5*a^12*b^2*d^4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4
+ 5*a^6*b^8*d^4 - a^4*b^10*d^4))/(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^
10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 20
00*a^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^
10*d^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^
4 + 10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d
^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^
4 - 1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6)
)^(1/3) - 1/2*(I*sqrt(3) + 1)*(-1/19683*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)^3/(a^12*d^2 - 5*a^10*b
^2*d^2 + 10*a^8*b^4*d^2 - 10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)^3 - 1/1062882*(15625*a^4*b^4 - 2000*a
^2*b^6 + 64*b^8)/(a^20*d^6 - 5*a^18*b^2*d^6 + 10*a^16*b^4*d^6 - 10*a^14*b^6*d^6 + 5*a^12*b^8*d^6 - a^10*b^10*d
^6) + 5/1458*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)*(10*a^2*b^4 - b^6)/((a^14*d^4 - 5*a^12*b^2*d^4 +
10*a^10*b^4*d^4 - 10*a^8*b^6*d^4 + 5*a^6*b^8*d^4 - a^4*b^10*d^4)*(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 -
10*a^6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2)) - 1/1062882*(15625*a^14 + 959375*a^12*b^2 + 24861*a^10*b^4 -
1094705*a^8*b^6 + 307475*a^6*b^8 - 37740*a^4*b^10 + 2320*a^2*b^12 - 64*b^14)*b^4/((a^2 - b^2)^10*a^10*d^6))^(1
/3) - 1/27*(35*a^6*b^2 + 195*a^4*b^4 + 18*a^2*b^6 - 5*b^8)/(a^12*d^2 - 5*a^10*b^2*d^2 + 10*a^8*b^4*d^2 - 10*a^
6*b^6*d^2 + 5*a^4*b^8*d^2 - a^2*b^10*d^2))) + 36*(3*a^4 - 3*a^2*b^2 + (8*a^2*b^2 + b^4)*cos(d*x + c)^2)*sin(d*
x + c))/((a^6 - 2*a^4*b^2 + a^2*b^4)*d*cos(d*x + c) - ((a^5*b - 2*a^3*b^3 + a*b^5)*d*cos(d*x + c)^3 - (a^5*b -
2*a^3*b^3 + a*b^5)*d*cos(d*x + c))*sin(d*x + c))

Integral number [336] \[ \int \frac {\sec ^4(c+d x)}{\left (a+b \sin ^3(c+d x)\right )^2} \, dx \]

[C]   time = 127.922 (sec), size = 133123 ,normalized size = 5787.96 \[ \text {Too large to display} \]

[In]

integrate(sec(d*x+c)^4/(a+b*sin(d*x+c)^3)^2,x, algorithm=""fricas"")

[Out]

1/108*(36*(2*a^5*b - 30*a^3*b^3 - 17*a*b^5)*cos(d*x + c)^6 - 36*a^5*b + 72*a^3*b^3 - 36*a*b^5 - 108*(a^5*b - 2
1*a^3*b^3 - 10*a*b^5)*cos(d*x + c)^4 + sqrt(2/3)*sqrt(1/6)*((a^8 - 3*a^6*b^2 + 3*a^4*b^4 - a^2*b^6)*d*cos(d*x
+ c)^3 - ((a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*d*cos(d*x + c)^5 - (a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*d
*cos(d*x + c)^3)*sin(d*x + c))*sqrt(-(573480*a^8*b^4 + 4293324*a^6*b^6 + 3847662*a^4*b^8 + 159894*a^2*b^10 - 1
7010*b^12 - (a^16 - 7*a^14*b^2 + 21*a^12*b^4 - 35*a^10*b^6 + 35*a^8*b^8 - 21*a^6*b^10 + 7*a^4*b^12 - a^2*b^14)
*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14
*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^
2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*
d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*
b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2
+ 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b
^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10
*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10
- 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^
6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^1
2*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(
117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^
10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561
*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2
- 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2
*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d
^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*
a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^1
8*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^
4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^1
0*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913
533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 +
64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^1
0 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2
+ 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^2 + 3*sqrt(1/3)*(a^16 - 7*a^14*b^2 + 21*a^12*b^4 - 35*a^10*b^6 + 35*a^8*b
^8 - 21*a^6*b^10 + 7*a^4*b^12 - a^2*b^14)*d^2*sqrt((1620304560*a^18*b^6 + 93287972160*a^16*b^8 + 1710611738640
*a^14*b^10 + 7452303136992*a^12*b^12 + 11309487743232*a^10*b^14 + 5170525774092*a^8*b^16 + 484282579032*a^6*b^
18 - 75640115628*a^4*b^20 + 4494809880*a^2*b^22 - 90935460*b^24 - (a^32 - 14*a^30*b^2 + 91*a^28*b^4 - 364*a^26
*b^6 + 1001*a^24*b^8 - 2002*a^22*b^10 + 3003*a^20*b^12 - 3432*a^18*b^14 + 3003*a^16*b^16 - 2002*a^14*b^18 + 10
01*a^12*b^20 - 364*a^10*b^22 + 91*a^8*b^24 - 14*a^6*b^26 + a^4*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a
^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d
^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 1
19*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 +
7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^1
2)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4
*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6
+ 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) -
5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 +
119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4
+ 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d
^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821
*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 -
5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4
+ 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^
10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 -
5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 2
1*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 32
9*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 -
35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d
^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) +
1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 6433
9744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(
1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 +
21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))^2*d^4 +
324*(1180*a^24*b^4 + 574*a^22*b^6 - 29141*a^20*b^8 + 89124*a^18*b^10 - 103971*a^16*b^12 + 14469*a^14*b^14 + 8
7591*a^12*b^16 - 92859*a^10*b^18 + 38451*a^8*b^20 - 4879*a^6*b^22 - 574*a^4*b^24 + 35*a^2*b^26)*((-I*sqrt(3) +
1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a
^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029
*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b
^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*
b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^
2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/
(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b
^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(102
9*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10
*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*
a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8
700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^
6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1
)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^
2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 -
1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^
6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*
a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*
b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^
4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b
^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6
- 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/(
(a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a
^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d
^2 - a^2*b^14*d^2))*d^2)/((a^32 - 14*a^30*b^2 + 91*a^28*b^4 - 364*a^26*b^6 + 1001*a^24*b^8 - 2002*a^22*b^10 +
3003*a^20*b^12 - 3432*a^18*b^14 + 3003*a^16*b^16 - 2002*a^14*b^18 + 1001*a^12*b^20 - 364*a^10*b^22 + 91*a^8*b^
24 - 14*a^6*b^26 + a^4*b^28)*d^4)))/((a^16 - 7*a^14*b^2 + 21*a^12*b^4 - 35*a^10*b^6 + 35*a^8*b^8 - 21*a^6*b^10
+ 7*a^4*b^12 - a^2*b^14)*d^2))*log(161414428*a^20*b^7 - 11941373500*a^18*b^9 - 532411302220*a^16*b^11 - 12409
43253480*a^14*b^13 - 93205194180*a^12*b^15 + 91129831520*a^10*b^17 - 10129525980*a^8*b^19 + 543700080*a^6*b^21
- 16434880*a^4*b^23 + 277760*a^2*b^25 - 2048*b^27 + 1/13122*(108045*a^33*b^2 + 1246000*a^31*b^4 - 8252545*a^2
9*b^6 + 14362502*a^27*b^8 + 3119725*a^25*b^10 - 42348705*a^23*b^12 + 60187305*a^21*b^14 - 37763145*a^19*b^16 +
8526966*a^17*b^18 + 1772925*a^15*b^20 - 1034740*a^13*b^22 + 78295*a^11*b^24 - 2660*a^9*b^26 + 32*a^7*b^28)*((
-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^
2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^
2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4
+ 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6
+ 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 3
5*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10
+ 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^
6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 3
5*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d
^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b
^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117
649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10
- 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I
*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7
*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^
14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6
- 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8
*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d
^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 -
a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d
^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533
166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64
*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 -
35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 +
7*a^4*b^12*d^2 - a^2*b^14*d^2))^2*d^4*sin(d*x + c) - 1/81*(823543*a^27*b^4 + 356380430*a^25*b^6 + 10113422305*
a^23*b^8 + 67531592520*a^21*b^10 + 143044567575*a^19*b^12 + 98746645158*a^17*b^14 + 15418943610*a^15*b^16 - 13
82094090*a^13*b^18 - 23892960*a^11*b^20 + 5179370*a^9*b^22 - 191576*a^7*b^24 + 2240*a^5*b^26)*((-I*sqrt(3) + 1
)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^1
2*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a
^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8
*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^
8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2
- 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a
^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^1
2*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*
a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b
^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^
10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 870
0881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*
b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*
(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2
+ 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/
1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*
d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^
6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^
2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)
*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^1
2*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 -
89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a
^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^1
6*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2
- a^2*b^14*d^2))*d^2*sin(d*x + c) - 1/78732*sqrt(2/3)*sqrt(1/6)*((2401*a^37 + 48524*a^35*b^2 - 1682975*a^33*b
^4 + 6603275*a^31*b^6 - 4665683*a^29*b^8 - 22089037*a^27*b^10 + 59373627*a^25*b^12 - 63314565*a^23*b^14 + 2989
1400*a^21*b^16 - 748909*a^19*b^18 - 4864664*a^17*b^20 + 1529774*a^15*b^22 - 85010*a^13*b^24 + 1850*a^11*b^26 -
8*a^9*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*
d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 -
a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 -
35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4
+ 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a
^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8
- 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 -
21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 3
29*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4
- 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*
d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) +
1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 643
39744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^
(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^
3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^
12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 2
1*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/1
18098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119
*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7
*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2
- 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^
14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 593
6*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 +
329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*
a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))^2*d^5*cos(d*x + c) - 162*(9947343*a^29*b^4 + 292790008*a^27*b^6
- 2753097753*a^25*b^8 - 44962633450*a^23*b^10 - 129793230435*a^21*b^12 - 112855972122*a^19*b^14 - 25039968999
*a^17*b^16 + 1092578394*a^15*b^18 + 138817665*a^13*b^20 - 11962860*a^11*b^22 + 398384*a^9*b^24 - 6864*a^7*b^26
+ 64*a^5*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^
16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^
2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4
- 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*
b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 3
5*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b
^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6
- 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8
+ 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d
^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b
^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)
) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 +
64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6
))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^1
2)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4
*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6
+ 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) -
5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 +
119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4
+ 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d
^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821
*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 -
5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^
8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 -
21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^3*cos(d*x + c) - 26244*(31294634*a^23*b^6 + 3250929990*a^2
1*b^8 + 73171807478*a^19*b^10 + 245222572301*a^17*b^12 + 233351795684*a^15*b^14 + 43340511440*a^13*b^16 - 5121
621985*a^11*b^18 + 198326192*a^9*b^20 - 3185326*a^7*b^22 + 19656*a^5*b^24 - 64*a^3*b^26)*d*cos(d*x + c) + 3*sq
rt(1/3)*((2401*a^37 + 48524*a^35*b^2 - 1682975*a^33*b^4 + 6603275*a^31*b^6 - 4665683*a^29*b^8 - 22089037*a^27*
b^10 + 59373627*a^25*b^12 - 63314565*a^23*b^14 + 29891400*a^21*b^16 - 748909*a^19*b^18 - 4864664*a^17*b^20 + 1
529774*a^15*b^22 - 85010*a^13*b^24 + 1850*a^11*b^26 - 8*a^9*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*
b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2
+ 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*
b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a
^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^
3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^
12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 2
1*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/1
18098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119
*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7
*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2
- 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^
14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 593
6*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8
834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*
b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 54
88*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a
^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a
^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35
*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2
+ 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1
062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 6433974
4*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3
) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*
a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^5*cos(d*
x + c) + 162*(1447803*a^29*b^4 - 2113034*a^27*b^6 - 24206406*a^25*b^8 + 106832600*a^23*b^10 - 196587030*a^21*b
^12 + 192986604*a^19*b^14 - 98610792*a^17*b^16 + 16488192*a^15*b^18 + 6358275*a^13*b^20 - 2792370*a^11*b^22 +
202118*a^9*b^24 - 6024*a^7*b^26 + 64*a^5*b^28)*d^3*cos(d*x + c))*sqrt((1620304560*a^18*b^6 + 93287972160*a^16*
b^8 + 1710611738640*a^14*b^10 + 7452303136992*a^12*b^12 + 11309487743232*a^10*b^14 + 5170525774092*a^8*b^16 +
484282579032*a^6*b^18 - 75640115628*a^4*b^20 + 4494809880*a^2*b^22 - 90935460*b^24 - (a^32 - 14*a^30*b^2 + 91*
a^28*b^4 - 364*a^26*b^6 + 1001*a^24*b^8 - 2002*a^22*b^10 + 3003*a^20*b^12 - 3432*a^18*b^14 + 3003*a^16*b^16 -
2002*a^14*b^18 + 1001*a^12*b^20 - 364*a^10*b^22 + 91*a^8*b^24 - 14*a^6*b^26 + a^4*b^28)*((-I*sqrt(3) + 1)*((11
80*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*
d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6
- 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 -
21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 32
9*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a
^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^
6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6
- a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^
6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4
- 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6
*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a
^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 +
259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/53
1441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a
^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/106288
2*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 +
35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6
+ 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4
+ 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16
*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2
- a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240
711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b
^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2
- 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2
*b^14*d^2))^2*d^4 + 324*(1180*a^24*b^4 + 574*a^22*b^6 - 29141*a^20*b^8 + 89124*a^18*b^10 - 103971*a^16*b^12 +
14469*a^14*b^14 + 87591*a^12*b^16 - 92859*a^10*b^18 + 38451*a^8*b^20 - 4879*a^6*b^22 - 574*a^4*b^24 + 35*a^2*b
^26)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*
a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^1
4*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*
b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*
a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*
d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a
^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*
b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b
^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^1
2*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21
*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/10628
82*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^
8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) +
6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*
d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 -
a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b
^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1
180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(
(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^1
2*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6
*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 -
913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^
16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2
*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10
*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^2)/((a^32 - 14*a^30*b^2 + 91*a^28*b^4 - 364*a^26*b^6 + 1001*a^24*b^8
- 2002*a^22*b^10 + 3003*a^20*b^12 - 3432*a^18*b^14 + 3003*a^16*b^16 - 2002*a^14*b^18 + 1001*a^12*b^20 - 364*a^
10*b^22 + 91*a^8*b^24 - 14*a^6*b^26 + a^4*b^28)*d^4)))*sqrt(-(573480*a^8*b^4 + 4293324*a^6*b^6 + 3847662*a^4*b
^8 + 159894*a^2*b^10 - 17010*b^12 - (a^16 - 7*a^14*b^2 + 21*a^12*b^4 - 35*a^10*b^6 + 35*a^8*b^8 - 21*a^6*b^10
+ 7*a^4*b^12 - a^2*b^14)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^
12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^
4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^1
4*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(
1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^
4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117
649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^1
6*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917
*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a
^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 -
7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*
b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^
10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14
*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10
- 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^
2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22
*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^1
4*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a
^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*
b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*
a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 -
388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^
4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 79
17*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b
^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^2 + 3*sqrt(1/3)*(a^16 - 7*a^14*b^2 + 21*a^12*b^4
- 35*a^10*b^6 + 35*a^8*b^8 - 21*a^6*b^10 + 7*a^4*b^12 - a^2*b^14)*d^2*sqrt((1620304560*a^18*b^6 + 93287972160*
a^16*b^8 + 1710611738640*a^14*b^10 + 7452303136992*a^12*b^12 + 11309487743232*a^10*b^14 + 5170525774092*a^8*b^
16 + 484282579032*a^6*b^18 - 75640115628*a^4*b^20 + 4494809880*a^2*b^22 - 90935460*b^24 - (a^32 - 14*a^30*b^2
+ 91*a^28*b^4 - 364*a^26*b^6 + 1001*a^24*b^8 - 2002*a^22*b^10 + 3003*a^20*b^12 - 3432*a^18*b^14 + 3003*a^16*b^
16 - 2002*a^14*b^18 + 1001*a^12*b^20 - 364*a^10*b^22 + 91*a^8*b^24 - 14*a^6*b^26 + a^4*b^28)*((-I*sqrt(3) + 1)
*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12
*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^
4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*
d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8
+ 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 -
21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^
24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12
*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a
^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^
8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^1
0*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700
881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b
^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(
-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 +
21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1
062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d
^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6
*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2
*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*
(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12
*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 -
89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^
2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16
*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2
- a^2*b^14*d^2))^2*d^4 + 324*(1180*a^24*b^4 + 574*a^22*b^6 - 29141*a^20*b^8 + 89124*a^18*b^10 - 103971*a^16*b^
12 + 14469*a^14*b^14 + 87591*a^12*b^16 - 92859*a^10*b^18 + 38451*a^8*b^20 - 4879*a^6*b^22 - 574*a^4*b^24 + 35*
a^2*b^26)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2
- 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^
2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*
a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 +
8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10
*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5
488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*
a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*
a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 3
5*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2
+ 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/
1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 643397
44*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/
3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(
a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*
d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a
^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/1180
98*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^
10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^
6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 2
1*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*
b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a
^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 32
9*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6
*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^2)/((a^32 - 14*a^30*b^2 + 91*a^28*b^4 - 364*a^26*b^6 + 1001*a^24
*b^8 - 2002*a^22*b^10 + 3003*a^20*b^12 - 3432*a^18*b^14 + 3003*a^16*b^16 - 2002*a^14*b^18 + 1001*a^12*b^20 - 3
64*a^10*b^22 + 91*a^8*b^24 - 14*a^6*b^26 + a^4*b^28)*d^4)))/((a^16 - 7*a^14*b^2 + 21*a^12*b^4 - 35*a^10*b^6 +
35*a^8*b^8 - 21*a^6*b^10 + 7*a^4*b^12 - a^2*b^14)*d^2)) + 1/4374*sqrt(1/3)*((108045*a^33*b^2 + 1246000*a^31*b^
4 - 8252545*a^29*b^6 + 14362502*a^27*b^8 + 3119725*a^25*b^10 - 42348705*a^23*b^12 + 60187305*a^21*b^14 - 37763
145*a^19*b^16 + 8526966*a^17*b^18 + 1772925*a^15*b^20 - 1034740*a^13*b^22 + 78295*a^11*b^24 - 2660*a^9*b^26 +
32*a^7*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*
d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 -
a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 -
35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4
+ 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a
^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8
- 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 -
21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 3
29*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4
- 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*
d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) +
1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 643
39744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^
(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^
3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^
12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 2
1*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/1
18098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119
*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7
*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2
- 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^
14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 593
6*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 +
329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*
a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^4*sin(d*x + c) + 1134*(117649*a^27*b^4 - 3728410*a^25*b^6 + 2
3116945*a^23*b^8 - 67318215*a^21*b^10 + 112433355*a^19*b^12 - 115334583*a^17*b^14 + 73197495*a^15*b^16 - 27454
245*a^13*b^18 + 5360040*a^11*b^20 - 403555*a^9*b^22 + 13684*a^7*b^24 - 160*a^5*b^26)*d^2*sin(d*x + c))*sqrt((1
620304560*a^18*b^6 + 93287972160*a^16*b^8 + 1710611738640*a^14*b^10 + 7452303136992*a^12*b^12 + 11309487743232
*a^10*b^14 + 5170525774092*a^8*b^16 + 484282579032*a^6*b^18 - 75640115628*a^4*b^20 + 4494809880*a^2*b^22 - 909
35460*b^24 - (a^32 - 14*a^30*b^2 + 91*a^28*b^4 - 364*a^26*b^6 + 1001*a^24*b^8 - 2002*a^22*b^10 + 3003*a^20*b^1
2 - 3432*a^18*b^14 + 3003*a^16*b^16 - 2002*a^14*b^18 + 1001*a^12*b^20 - 364*a^10*b^22 + 91*a^8*b^24 - 14*a^6*b
^26 + a^4*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^
16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^
2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4
- 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*
b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 3
5*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b
^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6
- 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8
+ 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d
^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b
^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)
) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 +
64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6
))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^1
2)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4
*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6
+ 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) -
5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 +
119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4
+ 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d
^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821
*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 -
5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^
8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 -
21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))^2*d^4 + 324*(1180*a^24*b^4 + 574*a^22*b^6 - 29141*a^20*b^8 +
89124*a^18*b^10 - 103971*a^16*b^12 + 14469*a^14*b^14 + 87591*a^12*b^16 - 92859*a^10*b^18 + 38451*a^8*b^20 - 4
879*a^6*b^22 - 574*a^4*b^24 + 35*a^2*b^26)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 32
9*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a
^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^1
6*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*
d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^
2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^
3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^1
8*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8
834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a
^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^1
4*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a
^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12
*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b
^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*
b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^
2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/
(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b
^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(102
9*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10
*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*
a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8
700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^
6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 +
8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*
b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^2)/((a^32 - 14*a^30*b^2 + 91*a^
28*b^4 - 364*a^26*b^6 + 1001*a^24*b^8 - 2002*a^22*b^10 + 3003*a^20*b^12 - 3432*a^18*b^14 + 3003*a^16*b^16 - 20
02*a^14*b^18 + 1001*a^12*b^20 - 364*a^10*b^22 + 91*a^8*b^24 - 14*a^6*b^26 + a^4*b^28)*d^4)) - 2*(2363568410*a^
19*b^8 + 68245683058*a^17*b^10 + 88199223245*a^15*b^12 - 166764852730*a^13*b^14 - 52364240705*a^11*b^16 + 7090
272980*a^9*b^18 - 352540783*a^7*b^20 + 8295940*a^5*b^22 - 75040*a^3*b^24)*sin(d*x + c)) - sqrt(2/3)*sqrt(1/6)*
((a^8 - 3*a^6*b^2 + 3*a^4*b^4 - a^2*b^6)*d*cos(d*x + c)^3 - ((a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*d*cos(d*x
+ c)^5 - (a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*d*cos(d*x + c)^3)*sin(d*x + c))*sqrt(-(573480*a^8*b^4 + 4293
324*a^6*b^6 + 3847662*a^4*b^8 + 159894*a^2*b^10 - 17010*b^12 - (a^16 - 7*a^14*b^2 + 21*a^12*b^4 - 35*a^10*b^6
+ 35*a^8*b^8 - 21*a^6*b^10 + 7*a^4*b^12 - a^2*b^14)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4
*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d
^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^
4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 -
a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 -
7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b
^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6
- 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^
8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*
d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4
- a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*
d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 91353
3166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 6
4*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 +
7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a
^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 +
64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 +
7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b
^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4
+ 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*
d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649
*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5
882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*
a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 -
35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^2 - 3*sqrt(1/3)*(a^16
- 7*a^14*b^2 + 21*a^12*b^4 - 35*a^10*b^6 + 35*a^8*b^8 - 21*a^6*b^10 + 7*a^4*b^12 - a^2*b^14)*d^2*sqrt((1620304
560*a^18*b^6 + 93287972160*a^16*b^8 + 1710611738640*a^14*b^10 + 7452303136992*a^12*b^12 + 11309487743232*a^10*
b^14 + 5170525774092*a^8*b^16 + 484282579032*a^6*b^18 - 75640115628*a^4*b^20 + 4494809880*a^2*b^22 - 90935460*
b^24 - (a^32 - 14*a^30*b^2 + 91*a^28*b^4 - 364*a^26*b^6 + 1001*a^24*b^8 - 2002*a^22*b^10 + 3003*a^20*b^12 - 34
32*a^18*b^14 + 3003*a^16*b^16 - 2002*a^14*b^18 + 1001*a^12*b^20 - 364*a^10*b^22 + 91*a^8*b^24 - 14*a^6*b^26 +
a^4*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2
- 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^
2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*
a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 +
8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10
*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5
488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*
a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*
a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 3
5*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2
+ 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/
1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 643397
44*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/
3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(
a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*
d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a
^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/1180
98*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^
10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^
6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 2
1*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*
b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a
^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 32
9*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6
*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))^2*d^4 + 324*(1180*a^24*b^4 + 574*a^22*b^6 - 29141*a^20*b^8 + 89124
*a^18*b^10 - 103971*a^16*b^12 + 14469*a^14*b^14 + 87591*a^12*b^16 - 92859*a^10*b^18 + 38451*a^8*b^20 - 4879*a^
6*b^22 - 574*a^4*b^24 + 35*a^2*b^26)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*
b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^1
0*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*
d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/
(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2
+ 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/
1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*
d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^
6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^
2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)
*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^1
2*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 -
89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a
^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 +
329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21
*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*
d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^
6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*
b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d
^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b
^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881
*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12
+ 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*
a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^
2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^2)/((a^32 - 14*a^30*b^2 + 91*a^28*b^4
- 364*a^26*b^6 + 1001*a^24*b^8 - 2002*a^22*b^10 + 3003*a^20*b^12 - 3432*a^18*b^14 + 3003*a^16*b^16 - 2002*a^1
4*b^18 + 1001*a^12*b^20 - 364*a^10*b^22 + 91*a^8*b^24 - 14*a^6*b^26 + a^4*b^28)*d^4)))/((a^16 - 7*a^14*b^2 + 2
1*a^12*b^4 - 35*a^10*b^6 + 35*a^8*b^8 - 21*a^6*b^10 + 7*a^4*b^12 - a^2*b^14)*d^2))*log(161414428*a^20*b^7 - 11
941373500*a^18*b^9 - 532411302220*a^16*b^11 - 1240943253480*a^14*b^13 - 93205194180*a^12*b^15 + 91129831520*a^
10*b^17 - 10129525980*a^8*b^19 + 543700080*a^6*b^21 - 16434880*a^4*b^23 + 277760*a^2*b^25 - 2048*b^27 + 1/1312
2*(108045*a^33*b^2 + 1246000*a^31*b^4 - 8252545*a^29*b^6 + 14362502*a^27*b^8 + 3119725*a^25*b^10 - 42348705*a^
23*b^12 + 60187305*a^21*b^14 - 37763145*a^19*b^16 + 8526966*a^17*b^18 + 1772925*a^15*b^20 - 1034740*a^13*b^22
+ 78295*a^11*b^24 - 2660*a^9*b^26 + 32*a^7*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^
8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2
- 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 -
7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4
*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a
^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14
*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 -
35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b
^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4
- 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a
^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2
+ 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 91353316
6*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b
^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 791
7*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*
b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*
b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*
a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12
)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 3
5*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2
- 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^
18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882
401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8
*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35
*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))^2*d^4*sin(d*x + c) - 1/81*(
823543*a^27*b^4 + 356380430*a^25*b^6 + 10113422305*a^23*b^8 + 67531592520*a^21*b^10 + 143044567575*a^19*b^12 +
98746645158*a^17*b^14 + 15418943610*a^15*b^16 - 1382094090*a^13*b^18 - 23892960*a^11*b^20 + 5179370*a^9*b^22
- 191576*a^7*b^24 + 2240*a^5*b^26)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^
10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*
d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^
4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-
1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 +
21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/10
62882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^
6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*
b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*
d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(
a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*
d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 8
9240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2
- b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 32
9*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a
^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^
6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6
- a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^
6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4
- 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6
*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a
^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 +
259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^
6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2
+ 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^2*sin(d*x + c) + 1/78732*sqrt(2/3)*sqrt
(1/6)*((2401*a^37 + 48524*a^35*b^2 - 1682975*a^33*b^4 + 6603275*a^31*b^6 - 4665683*a^29*b^8 - 22089037*a^27*b^
10 + 59373627*a^25*b^12 - 63314565*a^23*b^14 + 29891400*a^21*b^16 - 748909*a^19*b^18 - 4864664*a^17*b^20 + 152
9774*a^15*b^22 - 85010*a^13*b^24 + 1850*a^11*b^26 - 8*a^9*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^
6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 +
35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^
10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6
*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/
(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12
*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*
a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118
098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b
^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a
^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 -
21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14
*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*
a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 883
4*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^
6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488
*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^1
4*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2
*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a
^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 +
21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/106
2882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*
a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3)
+ 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^
12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))^2*d^5*cos(d*
x + c) - 162*(9947343*a^29*b^4 + 292790008*a^27*b^6 - 2753097753*a^25*b^8 - 44962633450*a^23*b^10 - 1297932304
35*a^21*b^12 - 112855972122*a^19*b^14 - 25039968999*a^17*b^16 + 1092578394*a^15*b^18 + 138817665*a^13*b^20 - 1
1962860*a^11*b^22 + 398384*a^9*b^24 - 6864*a^7*b^26 + 64*a^5*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6
*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2
+ 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119
*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*
a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)
^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b
^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 +
21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/
118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 11
9*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 +
7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2
- 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a
^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 59
36*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 +
8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10
*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5
488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*
a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*
a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 3
5*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2
+ 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/
1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 643397
44*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/
3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21
*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^3*cos(d
*x + c) - 26244*(31294634*a^23*b^6 + 3250929990*a^21*b^8 + 73171807478*a^19*b^10 + 245222572301*a^17*b^12 + 23
3351795684*a^15*b^14 + 43340511440*a^13*b^16 - 5121621985*a^11*b^18 + 198326192*a^9*b^20 - 3185326*a^7*b^22 +
19656*a^5*b^24 - 64*a^3*b^26)*d*cos(d*x + c) - 3*sqrt(1/3)*((2401*a^37 + 48524*a^35*b^2 - 1682975*a^33*b^4 + 6
603275*a^31*b^6 - 4665683*a^29*b^8 - 22089037*a^27*b^10 + 59373627*a^25*b^12 - 63314565*a^23*b^14 + 29891400*a
^21*b^16 - 748909*a^19*b^18 - 4864664*a^17*b^20 + 1529774*a^15*b^22 - 85010*a^13*b^24 + 1850*a^11*b^26 - 8*a^9
*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 -
7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b
^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^1
2*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 883
4*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^
6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488
*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^1
4*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2
*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a
^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 +
21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/106
2882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*
a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3)
+ 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^1
6*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2
- a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20
*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*
(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)
/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b
^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a
^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4
- 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*
b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a
^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^
10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^5*cos(d*x + c) + 162*(1447803*a^29*b^4 - 2113034*a^27*b^6 - 2420640
6*a^25*b^8 + 106832600*a^23*b^10 - 196587030*a^21*b^12 + 192986604*a^19*b^14 - 98610792*a^17*b^16 + 16488192*a
^15*b^18 + 6358275*a^13*b^20 - 2792370*a^11*b^22 + 202118*a^9*b^24 - 6024*a^7*b^26 + 64*a^5*b^28)*d^3*cos(d*x
+ c))*sqrt((1620304560*a^18*b^6 + 93287972160*a^16*b^8 + 1710611738640*a^14*b^10 + 7452303136992*a^12*b^12 + 1
1309487743232*a^10*b^14 + 5170525774092*a^8*b^16 + 484282579032*a^6*b^18 - 75640115628*a^4*b^20 + 4494809880*a
^2*b^22 - 90935460*b^24 - (a^32 - 14*a^30*b^2 + 91*a^28*b^4 - 364*a^26*b^6 + 1001*a^24*b^8 - 2002*a^22*b^10 +
3003*a^20*b^12 - 3432*a^18*b^14 + 3003*a^16*b^16 - 2002*a^14*b^18 + 1001*a^12*b^20 - 364*a^10*b^22 + 91*a^8*b^
24 - 14*a^6*b^26 + a^4*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 3
5*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 +
7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21
*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/5314
41*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^1
2*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*
(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35
*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 +
7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 +
21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d
^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 -
a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 8924071
1*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2
)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*
b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^1
0*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*
a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10
*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 31
73*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*
a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 +
35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^
2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 25908
4*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6
+ 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a
^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))^2*d^4 + 324*(1180*a^24*b^4 + 574*a^22*b^6 - 291
41*a^20*b^8 + 89124*a^18*b^10 - 103971*a^16*b^12 + 14469*a^14*b^14 + 87591*a^12*b^16 - 92859*a^10*b^18 + 38451
*a^8*b^20 - 4879*a^6*b^22 - 574*a^4*b^24 + 35*a^2*b^26)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917
*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b
^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^1
8*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^
4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^
2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a
^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4
*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(118
0*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a
^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*
d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b
^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 9
13533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16
+ 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^
6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 +
35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^1
0 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d
^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 -
35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*
d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*
b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(11
7649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10
- 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1
180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d
^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^2)/((a^32 - 14*a^3
0*b^2 + 91*a^28*b^4 - 364*a^26*b^6 + 1001*a^24*b^8 - 2002*a^22*b^10 + 3003*a^20*b^12 - 3432*a^18*b^14 + 3003*a
^16*b^16 - 2002*a^14*b^18 + 1001*a^12*b^20 - 364*a^10*b^22 + 91*a^8*b^24 - 14*a^6*b^26 + a^4*b^28)*d^4)))*sqrt
(-(573480*a^8*b^4 + 4293324*a^6*b^6 + 3847662*a^4*b^8 + 159894*a^2*b^10 - 17010*b^12 - (a^16 - 7*a^14*b^2 + 21
*a^12*b^4 - 35*a^10*b^6 + 35*a^8*b^8 - 21*a^6*b^10 + 7*a^4*b^12 - a^2*b^14)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 +
8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^1
0*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*
b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10
*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 -
35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2
+ 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b
^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*
d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2
*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^
10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^
8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 38
8257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*
b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a
^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2
- 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^
4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*
d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b
^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^
4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^1
4*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d
^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8
+ 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*
d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2
*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*
d^2 - 3*sqrt(1/3)*(a^16 - 7*a^14*b^2 + 21*a^12*b^4 - 35*a^10*b^6 + 35*a^8*b^8 - 21*a^6*b^10 + 7*a^4*b^12 - a^2
*b^14)*d^2*sqrt((1620304560*a^18*b^6 + 93287972160*a^16*b^8 + 1710611738640*a^14*b^10 + 7452303136992*a^12*b^1
2 + 11309487743232*a^10*b^14 + 5170525774092*a^8*b^16 + 484282579032*a^6*b^18 - 75640115628*a^4*b^20 + 4494809
880*a^2*b^22 - 90935460*b^24 - (a^32 - 14*a^30*b^2 + 91*a^28*b^4 - 364*a^26*b^6 + 1001*a^24*b^8 - 2002*a^22*b^
10 + 3003*a^20*b^12 - 3432*a^18*b^14 + 3003*a^16*b^16 - 2002*a^14*b^18 + 1001*a^12*b^20 - 364*a^10*b^22 + 91*a
^8*b^24 - 14*a^6*b^26 + a^4*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^1
0 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d
^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4
+ 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1
/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 2
1*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/106
2882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6
+ 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b
^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d
^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a
^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d
^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89
240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2
- b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329
*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^
6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6
- 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 -
a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6
- 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4
- 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*
d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^
16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 +
259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6
*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 +
35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))^2*d^4 + 324*(1180*a^24*b^4 + 574*a^22*b^6
- 29141*a^20*b^8 + 89124*a^18*b^10 - 103971*a^16*b^12 + 14469*a^14*b^14 + 87591*a^12*b^16 - 92859*a^10*b^18 +
38451*a^8*b^20 - 4879*a^6*b^22 - 574*a^4*b^24 + 35*a^2*b^26)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 +
7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*
a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)
/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^
12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^
16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^
2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^2
0*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098
*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10
)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*
b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*
a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^
4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2
*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a
^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d
^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^
2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b
^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^
10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12
*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*
a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/106288
2*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8
*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 1
62*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*
b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^2)/((a^32 - 1
4*a^30*b^2 + 91*a^28*b^4 - 364*a^26*b^6 + 1001*a^24*b^8 - 2002*a^22*b^10 + 3003*a^20*b^12 - 3432*a^18*b^14 + 3
003*a^16*b^16 - 2002*a^14*b^18 + 1001*a^12*b^20 - 364*a^10*b^22 + 91*a^8*b^24 - 14*a^6*b^26 + a^4*b^28)*d^4)))
/((a^16 - 7*a^14*b^2 + 21*a^12*b^4 - 35*a^10*b^6 + 35*a^8*b^8 - 21*a^6*b^10 + 7*a^4*b^12 - a^2*b^14)*d^2)) - 1
/4374*sqrt(1/3)*((108045*a^33*b^2 + 1246000*a^31*b^4 - 8252545*a^29*b^6 + 14362502*a^27*b^8 + 3119725*a^25*b^1
0 - 42348705*a^23*b^12 + 60187305*a^21*b^14 - 37763145*a^19*b^16 + 8526966*a^17*b^18 + 1772925*a^15*b^20 - 103
4740*a^13*b^22 + 78295*a^11*b^24 - 2660*a^9*b^26 + 32*a^7*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^
6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 +
35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^
10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6
*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/
(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12
*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*
a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118
098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b
^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a
^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 -
21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14
*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*
a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 883
4*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^
6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488
*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^1
4*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2
*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a
^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 +
21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/106
2882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*
a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3)
+ 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^
12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^4*sin(d*x
+ c) + 1134*(117649*a^27*b^4 - 3728410*a^25*b^6 + 23116945*a^23*b^8 - 67318215*a^21*b^10 + 112433355*a^19*b^12
- 115334583*a^17*b^14 + 73197495*a^15*b^16 - 27454245*a^13*b^18 + 5360040*a^11*b^20 - 403555*a^9*b^22 + 13684
*a^7*b^24 - 160*a^5*b^26)*d^2*sin(d*x + c))*sqrt((1620304560*a^18*b^6 + 93287972160*a^16*b^8 + 1710611738640*a
^14*b^10 + 7452303136992*a^12*b^12 + 11309487743232*a^10*b^14 + 5170525774092*a^8*b^16 + 484282579032*a^6*b^18
- 75640115628*a^4*b^20 + 4494809880*a^2*b^22 - 90935460*b^24 - (a^32 - 14*a^30*b^2 + 91*a^28*b^4 - 364*a^26*b
^6 + 1001*a^24*b^8 - 2002*a^22*b^10 + 3003*a^20*b^12 - 3432*a^18*b^14 + 3003*a^16*b^16 - 2002*a^14*b^18 + 1001
*a^12*b^20 - 364*a^10*b^22 + 91*a^8*b^24 - 14*a^6*b^26 + a^4*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6
*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2
+ 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119
*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*
a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)
^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b
^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 +
21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/
118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 11
9*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 +
7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2
- 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a
^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 59
36*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 +
8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10
*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5
488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*
a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*
a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 3
5*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2
+ 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/
1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 643397
44*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/
3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21
*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))^2*d^4 + 3
24*(1180*a^24*b^4 + 574*a^22*b^6 - 29141*a^20*b^8 + 89124*a^18*b^10 - 103971*a^16*b^12 + 14469*a^14*b^14 + 875
91*a^12*b^16 - 92859*a^10*b^18 + 38451*a^8*b^20 - 4879*a^6*b^22 - 574*a^4*b^24 + 35*a^2*b^26)*((-I*sqrt(3) + 1
)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^1
2*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a
^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8
*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^
8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2
- 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a
^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^1
2*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*
a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b
^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^
10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 870
0881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*
b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*
(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2
+ 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/
1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*
d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^
6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^
2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)
*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^1
2*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 -
89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a
^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^1
6*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2
- a^2*b^14*d^2))*d^2)/((a^32 - 14*a^30*b^2 + 91*a^28*b^4 - 364*a^26*b^6 + 1001*a^24*b^8 - 2002*a^22*b^10 + 30
03*a^20*b^12 - 3432*a^18*b^14 + 3003*a^16*b^16 - 2002*a^14*b^18 + 1001*a^12*b^20 - 364*a^10*b^22 + 91*a^8*b^24
- 14*a^6*b^26 + a^4*b^28)*d^4)) - 2*(2363568410*a^19*b^8 + 68245683058*a^17*b^10 + 88199223245*a^15*b^12 - 16
6764852730*a^13*b^14 - 52364240705*a^11*b^16 + 7090272980*a^9*b^18 - 352540783*a^7*b^20 + 8295940*a^5*b^22 - 7
5040*a^3*b^24)*sin(d*x + c)) - sqrt(2/3)*sqrt(1/6)*((a^8 - 3*a^6*b^2 + 3*a^4*b^4 - a^2*b^6)*d*cos(d*x + c)^3 -
((a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*d*cos(d*x + c)^5 - (a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*d*cos(d*x
+ c)^3)*sin(d*x + c))*sqrt(-(573480*a^8*b^4 + 4293324*a^6*b^6 + 3847662*a^4*b^8 + 159894*a^2*b^10 - 17010*b^1
2 - (a^16 - 7*a^14*b^2 + 21*a^12*b^4 - 35*a^10*b^6 + 35*a^8*b^8 - 21*a^6*b^10 + 7*a^4*b^12 - a^2*b^14)*((-I*sq
rt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2
+ 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 1
5*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35
*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 79
17*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8
*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64
*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7
*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^1
2)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 +
35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^
2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a
^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 588
2401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt
(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14
*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^
2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*
a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4
+ 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 -
7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*
b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 +
7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a
^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18
)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b
^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4
*b^12*d^2 - a^2*b^14*d^2))*d^2 + 3*sqrt(1/3)*(a^16 - 7*a^14*b^2 + 21*a^12*b^4 - 35*a^10*b^6 + 35*a^8*b^8 - 21*
a^6*b^10 + 7*a^4*b^12 - a^2*b^14)*d^2*sqrt((1620304560*a^18*b^6 + 93287972160*a^16*b^8 + 1710611738640*a^14*b^
10 + 7452303136992*a^12*b^12 + 11309487743232*a^10*b^14 + 5170525774092*a^8*b^16 + 484282579032*a^6*b^18 - 756
40115628*a^4*b^20 + 4494809880*a^2*b^22 - 90935460*b^24 - (a^32 - 14*a^30*b^2 + 91*a^28*b^4 - 364*a^26*b^6 + 1
001*a^24*b^8 - 2002*a^22*b^10 + 3003*a^20*b^12 - 3432*a^18*b^14 + 3003*a^16*b^16 - 2002*a^14*b^18 + 1001*a^12*
b^20 - 364*a^10*b^22 + 91*a^8*b^24 - 14*a^6*b^26 + a^4*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 +
7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*
a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)
/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^
12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^
16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^
2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^2
0*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098
*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10
)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*
b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*
a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^
4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2
*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a
^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d
^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^
2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b
^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^
10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12
*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*
a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/106288
2*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8
*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 1
62*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*
b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))^2*d^4 + 324*(11
80*a^24*b^4 + 574*a^22*b^6 - 29141*a^20*b^8 + 89124*a^18*b^10 - 103971*a^16*b^12 + 14469*a^14*b^14 + 87591*a^1
2*b^16 - 92859*a^10*b^18 + 38451*a^8*b^20 - 4879*a^6*b^22 - 574*a^4*b^24 + 35*a^2*b^26)*((-I*sqrt(3) + 1)*((11
80*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*
d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6
- 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 -
21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 32
9*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a
^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^
6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6
- a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^
6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4
- 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6
*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a
^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 +
259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/53
1441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a
^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/106288
2*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 +
35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6
+ 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4
+ 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16
*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2
- a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240
711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b
^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2
- 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2
*b^14*d^2))*d^2)/((a^32 - 14*a^30*b^2 + 91*a^28*b^4 - 364*a^26*b^6 + 1001*a^24*b^8 - 2002*a^22*b^10 + 3003*a^2
0*b^12 - 3432*a^18*b^14 + 3003*a^16*b^16 - 2002*a^14*b^18 + 1001*a^12*b^20 - 364*a^10*b^22 + 91*a^8*b^24 - 14*
a^6*b^26 + a^4*b^28)*d^4)))/((a^16 - 7*a^14*b^2 + 21*a^12*b^4 - 35*a^10*b^6 + 35*a^8*b^8 - 21*a^6*b^10 + 7*a^4
*b^12 - a^2*b^14)*d^2))*log(-161414428*a^20*b^7 + 11941373500*a^18*b^9 + 532411302220*a^16*b^11 + 124094325348
0*a^14*b^13 + 93205194180*a^12*b^15 - 91129831520*a^10*b^17 + 10129525980*a^8*b^19 - 543700080*a^6*b^21 + 1643
4880*a^4*b^23 - 277760*a^2*b^25 + 2048*b^27 - 1/13122*(108045*a^33*b^2 + 1246000*a^31*b^4 - 8252545*a^29*b^6 +
14362502*a^27*b^8 + 3119725*a^25*b^10 - 42348705*a^23*b^12 + 60187305*a^21*b^14 - 37763145*a^19*b^16 + 852696
6*a^17*b^18 + 1772925*a^15*b^20 - 1034740*a^13*b^22 + 78295*a^11*b^24 - 2660*a^9*b^26 + 32*a^7*b^28)*((-I*sqrt
(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 +
21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*
(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a
^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917
*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b
^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b
^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a
^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)
*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35
*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2
- 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^1
8 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 58824
01*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3
) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b
^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)
^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^
18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 +
8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*
a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^
14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*
a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^1
2*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*
b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^1
2)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b
^12*d^2 - a^2*b^14*d^2))^2*d^4*sin(d*x + c) + 1/81*(823543*a^27*b^4 + 356380430*a^25*b^6 + 10113422305*a^23*b^
8 + 67531592520*a^21*b^10 + 143044567575*a^19*b^12 + 98746645158*a^17*b^14 + 15418943610*a^15*b^16 - 138209409
0*a^13*b^18 - 23892960*a^11*b^20 + 5179370*a^9*b^22 - 191576*a^7*b^24 + 2240*a^5*b^26)*((-I*sqrt(3) + 1)*((118
0*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d
^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6
- 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 -
21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329
*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^
6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6
- 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 -
a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6
- 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4
- 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*
d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^
16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 +
259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531
441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^
12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882
*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 3
5*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 +
7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 +
21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*
d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 -
a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 892407
11*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^
2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 -
7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*
b^14*d^2))*d^2*sin(d*x + c) - 1/78732*sqrt(2/3)*sqrt(1/6)*((2401*a^37 + 48524*a^35*b^2 - 1682975*a^33*b^4 + 66
03275*a^31*b^6 - 4665683*a^29*b^8 - 22089037*a^27*b^10 + 59373627*a^25*b^12 - 63314565*a^23*b^14 + 29891400*a^
21*b^16 - 748909*a^19*b^18 - 4864664*a^17*b^20 + 1529774*a^15*b^22 - 85010*a^13*b^24 + 1850*a^11*b^26 - 8*a^9*
b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7
*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^
14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12
*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834
*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6
*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*
a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14
*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*
b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^
12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 2
1*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062
882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a
^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) +
6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16
*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2
- a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*
b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(
1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/
((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^
12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^
6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4
- 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b
^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^
2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^1
0*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))^2*d^5*cos(d*x + c) - 162*(9947343*a^29*b^4 + 292790008*a^27*b^6 - 2753
097753*a^25*b^8 - 44962633450*a^23*b^10 - 129793230435*a^21*b^12 - 112855972122*a^19*b^14 - 25039968999*a^17*b
^16 + 1092578394*a^15*b^18 + 138817665*a^13*b^20 - 11962860*a^11*b^22 + 398384*a^9*b^24 - 6864*a^7*b^26 + 64*a
^5*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2
- 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2
*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a
^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8
834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*
b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 54
88*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a
^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a
^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35
*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2
+ 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1
062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 6433974
4*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3
) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a
^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d
^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^
20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/11809
8*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^1
0)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6
*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21
*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b
^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^
2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329
*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*
b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^3*cos(d*x + c) - 26244*(31294634*a^23*b^6 + 3250929990*a^21*b^8 +
73171807478*a^19*b^10 + 245222572301*a^17*b^12 + 233351795684*a^15*b^14 + 43340511440*a^13*b^16 - 5121621985*
a^11*b^18 + 198326192*a^9*b^20 - 3185326*a^7*b^22 + 19656*a^5*b^24 - 64*a^3*b^26)*d*cos(d*x + c) + 3*sqrt(1/3)
*((2401*a^37 + 48524*a^35*b^2 - 1682975*a^33*b^4 + 6603275*a^31*b^6 - 4665683*a^29*b^8 - 22089037*a^27*b^10 +
59373627*a^25*b^12 - 63314565*a^23*b^14 + 29891400*a^21*b^16 - 748909*a^19*b^18 - 4864664*a^17*b^20 + 1529774*
a^15*b^22 - 85010*a^13*b^24 + 1850*a^11*b^26 - 8*a^9*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7
917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^
8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(
a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12
*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16
*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2
- a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*
b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(
1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/
((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^
12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^
6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4
- 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b
^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6
*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2
+ 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*
b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^1
0*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10
- 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b
^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^
12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*
(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b
^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162
*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^
4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^5*cos(d*x + c)
+ 162*(1447803*a^29*b^4 - 2113034*a^27*b^6 - 24206406*a^25*b^8 + 106832600*a^23*b^10 - 196587030*a^21*b^12 + 1
92986604*a^19*b^14 - 98610792*a^17*b^16 + 16488192*a^15*b^18 + 6358275*a^13*b^20 - 2792370*a^11*b^22 + 202118*
a^9*b^24 - 6024*a^7*b^26 + 64*a^5*b^28)*d^3*cos(d*x + c))*sqrt((1620304560*a^18*b^6 + 93287972160*a^16*b^8 + 1
710611738640*a^14*b^10 + 7452303136992*a^12*b^12 + 11309487743232*a^10*b^14 + 5170525774092*a^8*b^16 + 4842825
79032*a^6*b^18 - 75640115628*a^4*b^20 + 4494809880*a^2*b^22 - 90935460*b^24 - (a^32 - 14*a^30*b^2 + 91*a^28*b^
4 - 364*a^26*b^6 + 1001*a^24*b^8 - 2002*a^22*b^10 + 3003*a^20*b^12 - 3432*a^18*b^14 + 3003*a^16*b^16 - 2002*a^
14*b^18 + 1001*a^12*b^20 - 364*a^10*b^22 + 91*a^8*b^24 - 14*a^6*b^26 + a^4*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*
b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 3
5*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173
*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8
*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b
^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10
*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a
^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*
b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 317
3*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a
^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 +
35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2
- 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084
*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1
180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4
*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(1176
49*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16
*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*
a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^
14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 -
7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b
^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^1
0*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*
a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^1
4*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d
^2))^2*d^4 + 324*(1180*a^24*b^4 + 574*a^22*b^6 - 29141*a^20*b^8 + 89124*a^18*b^10 - 103971*a^16*b^12 + 14469*a
^14*b^14 + 87591*a^12*b^16 - 92859*a^10*b^18 + 38451*a^8*b^20 - 4879*a^6*b^22 - 574*a^4*b^24 + 35*a^2*b^26)*((
-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^
2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^
2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4
+ 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6
+ 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 3
5*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10
+ 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^
6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 3
5*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d
^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b
^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117
649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10
- 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I
*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7
*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^
14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6
- 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8
*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d
^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 -
a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d
^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533
166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64
*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 -
35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 +
7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^2)/((a^32 - 14*a^30*b^2 + 91*a^28*b^4 - 364*a^26*b^6 + 1001*a^24*b^8 - 2002*
a^22*b^10 + 3003*a^20*b^12 - 3432*a^18*b^14 + 3003*a^16*b^16 - 2002*a^14*b^18 + 1001*a^12*b^20 - 364*a^10*b^22
+ 91*a^8*b^24 - 14*a^6*b^26 + a^4*b^28)*d^4)))*sqrt(-(573480*a^8*b^4 + 4293324*a^6*b^6 + 3847662*a^4*b^8 + 15
9894*a^2*b^10 - 17010*b^12 - (a^16 - 7*a^14*b^2 + 21*a^12*b^4 - 35*a^10*b^6 + 35*a^8*b^8 - 21*a^6*b^10 + 7*a^4
*b^12 - a^2*b^14)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(
a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*
d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d
^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^
8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 -
35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4
*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d
^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^
8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4
*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14
*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^
2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8
+ 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d
^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b
^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a
^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^
6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6)
- 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8
+ 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^
4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8
*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 3882578
21*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14
- 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*
b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2
- 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^2 + 3*sqrt(1/3)*(a^16 - 7*a^14*b^2 + 21*a^12*b^4 - 35*a^
10*b^6 + 35*a^8*b^8 - 21*a^6*b^10 + 7*a^4*b^12 - a^2*b^14)*d^2*sqrt((1620304560*a^18*b^6 + 93287972160*a^16*b^
8 + 1710611738640*a^14*b^10 + 7452303136992*a^12*b^12 + 11309487743232*a^10*b^14 + 5170525774092*a^8*b^16 + 48
4282579032*a^6*b^18 - 75640115628*a^4*b^20 + 4494809880*a^2*b^22 - 90935460*b^24 - (a^32 - 14*a^30*b^2 + 91*a^
28*b^4 - 364*a^26*b^6 + 1001*a^24*b^8 - 2002*a^22*b^10 + 3003*a^20*b^12 - 3432*a^18*b^14 + 3003*a^16*b^16 - 20
02*a^14*b^18 + 1001*a^12*b^20 - 364*a^10*b^22 + 91*a^8*b^24 - 14*a^6*b^26 + a^4*b^28)*((-I*sqrt(3) + 1)*((1180
*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^
2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 -
3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 2
1*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*
a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6
*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6
- 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 -
a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6
- 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 -
21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d
^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^1
6*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 2
59084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/5314
41*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^1
2*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*
(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35
*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 +
7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 +
21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d
^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 -
a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 8924071
1*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2
)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 -
7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b
^14*d^2))^2*d^4 + 324*(1180*a^24*b^4 + 574*a^22*b^6 - 29141*a^20*b^8 + 89124*a^18*b^10 - 103971*a^16*b^12 + 14
469*a^14*b^14 + 87591*a^12*b^16 - 92859*a^10*b^18 + 38451*a^8*b^20 - 4879*a^6*b^22 - 574*a^4*b^24 + 35*a^2*b^2
6)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^
14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*
d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^
6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^
6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^
2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2
*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^
10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^1
0 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*
b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a
^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882
*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*
b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 65
61*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^
2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a
^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4
*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(118
0*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a
^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*
d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b
^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 9
13533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16
+ 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b
^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d
^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^2)/((a^32 - 14*a^30*b^2 + 91*a^28*b^4 - 364*a^26*b^6 + 1001*a^24*b^8 -
2002*a^22*b^10 + 3003*a^20*b^12 - 3432*a^18*b^14 + 3003*a^16*b^16 - 2002*a^14*b^18 + 1001*a^12*b^20 - 364*a^10
*b^22 + 91*a^8*b^24 - 14*a^6*b^26 + a^4*b^28)*d^4)))/((a^16 - 7*a^14*b^2 + 21*a^12*b^4 - 35*a^10*b^6 + 35*a^8*
b^8 - 21*a^6*b^10 + 7*a^4*b^12 - a^2*b^14)*d^2)) - 1/4374*sqrt(1/3)*((108045*a^33*b^2 + 1246000*a^31*b^4 - 825
2545*a^29*b^6 + 14362502*a^27*b^8 + 3119725*a^25*b^10 - 42348705*a^23*b^12 + 60187305*a^21*b^14 - 37763145*a^1
9*b^16 + 8526966*a^17*b^18 + 1772925*a^15*b^20 - 1034740*a^13*b^22 + 78295*a^11*b^24 - 2660*a^9*b^26 + 32*a^7*
b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7
*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^
14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12
*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834
*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6
*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*
a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14
*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*
b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^
12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 2
1*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062
882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a
^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) +
6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16
*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2
- a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*
b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(
1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/
((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^
12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^
6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4
- 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b
^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^
2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^1
0*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^4*sin(d*x + c) + 1134*(117649*a^27*b^4 - 3728410*a^25*b^6 + 23116945
*a^23*b^8 - 67318215*a^21*b^10 + 112433355*a^19*b^12 - 115334583*a^17*b^14 + 73197495*a^15*b^16 - 27454245*a^1
3*b^18 + 5360040*a^11*b^20 - 403555*a^9*b^22 + 13684*a^7*b^24 - 160*a^5*b^26)*d^2*sin(d*x + c))*sqrt((16203045
60*a^18*b^6 + 93287972160*a^16*b^8 + 1710611738640*a^14*b^10 + 7452303136992*a^12*b^12 + 11309487743232*a^10*b
^14 + 5170525774092*a^8*b^16 + 484282579032*a^6*b^18 - 75640115628*a^4*b^20 + 4494809880*a^2*b^22 - 90935460*b
^24 - (a^32 - 14*a^30*b^2 + 91*a^28*b^4 - 364*a^26*b^6 + 1001*a^24*b^8 - 2002*a^22*b^10 + 3003*a^20*b^12 - 343
2*a^18*b^14 + 3003*a^16*b^16 - 2002*a^14*b^18 + 1001*a^12*b^20 - 364*a^10*b^22 + 91*a^8*b^24 - 14*a^6*b^26 + a
^4*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2
- 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2
*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a
^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8
834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*
b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 54
88*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a
^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a
^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35
*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2
+ 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1
062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 6433974
4*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3
) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a
^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d
^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^
20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/11809
8*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^1
0)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6
*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21
*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b
^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^
2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329
*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*
b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))^2*d^4 + 324*(1180*a^24*b^4 + 574*a^22*b^6 - 29141*a^20*b^8 + 89124*
a^18*b^10 - 103971*a^16*b^12 + 14469*a^14*b^14 + 87591*a^12*b^16 - 92859*a^10*b^18 + 38451*a^8*b^20 - 4879*a^6
*b^22 - 574*a^4*b^24 + 35*a^2*b^26)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b
^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10
*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d
^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(
-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 +
21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1
062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d
^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6
*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2
*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*
(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12
*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 -
89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^
2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 3
29*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*
a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d
^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6
- a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b
^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^
4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^
6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*
a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12
+ 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a
^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2
+ 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^2)/((a^32 - 14*a^30*b^2 + 91*a^28*b^4
- 364*a^26*b^6 + 1001*a^24*b^8 - 2002*a^22*b^10 + 3003*a^20*b^12 - 3432*a^18*b^14 + 3003*a^16*b^16 - 2002*a^14
*b^18 + 1001*a^12*b^20 - 364*a^10*b^22 + 91*a^8*b^24 - 14*a^6*b^26 + a^4*b^28)*d^4)) + 2*(2363568410*a^19*b^8
+ 68245683058*a^17*b^10 + 88199223245*a^15*b^12 - 166764852730*a^13*b^14 - 52364240705*a^11*b^16 + 7090272980*
a^9*b^18 - 352540783*a^7*b^20 + 8295940*a^5*b^22 - 75040*a^3*b^24)*sin(d*x + c)) + sqrt(2/3)*sqrt(1/6)*((a^8 -
3*a^6*b^2 + 3*a^4*b^4 - a^2*b^6)*d*cos(d*x + c)^3 - ((a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*d*cos(d*x + c)^5
- (a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*d*cos(d*x + c)^3)*sin(d*x + c))*sqrt(-(573480*a^8*b^4 + 4293324*a^6
*b^6 + 3847662*a^4*b^8 + 159894*a^2*b^10 - 17010*b^12 - (a^16 - 7*a^14*b^2 + 21*a^12*b^4 - 35*a^10*b^6 + 35*a^
8*b^8 - 21*a^6*b^10 + 7*a^4*b^12 - a^2*b^14)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 +
329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21
*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a
^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^1
4*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*
b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2
)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a
^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 +
8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7
*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b
^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7
*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^
12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)
*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^
4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*
d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12
)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12
*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1
029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^
10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 3
5*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 -
8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*
a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4
+ 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^1
0*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^2 - 3*sqrt(1/3)*(a^16 - 7*a^1
4*b^2 + 21*a^12*b^4 - 35*a^10*b^6 + 35*a^8*b^8 - 21*a^6*b^10 + 7*a^4*b^12 - a^2*b^14)*d^2*sqrt((1620304560*a^1
8*b^6 + 93287972160*a^16*b^8 + 1710611738640*a^14*b^10 + 7452303136992*a^12*b^12 + 11309487743232*a^10*b^14 +
5170525774092*a^8*b^16 + 484282579032*a^6*b^18 - 75640115628*a^4*b^20 + 4494809880*a^2*b^22 - 90935460*b^24 -
(a^32 - 14*a^30*b^2 + 91*a^28*b^4 - 364*a^26*b^6 + 1001*a^24*b^8 - 2002*a^22*b^10 + 3003*a^20*b^12 - 3432*a^18
*b^14 + 3003*a^16*b^16 - 2002*a^14*b^18 + 1001*a^12*b^20 - 364*a^10*b^22 + 91*a^8*b^24 - 14*a^6*b^26 + a^4*b^2
8)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^
14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*
d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^
6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^
6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^
2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2
*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^
10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^1
0 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*
b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a
^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882
*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*
b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 65
61*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^
2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a
^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4
*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(118
0*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a
^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*
d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b
^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 9
13533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16
+ 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b
^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d
^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))^2*d^4 + 324*(1180*a^24*b^4 + 574*a^22*b^6 - 29141*a^20*b^8 + 89124*a^18*b
^10 - 103971*a^16*b^12 + 14469*a^14*b^14 + 87591*a^12*b^16 - 92859*a^10*b^18 + 38451*a^8*b^20 - 4879*a^6*b^22
- 574*a^4*b^24 + 35*a^2*b^26)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 -
35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 +
7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 2
1*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531
441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^
12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882
*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 3
5*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 +
7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 +
21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*
d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 -
a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 892407
11*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^
2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2
*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^
10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7
*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^1
0*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3
173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21
*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2
+ 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b
^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 2590
84*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6
+ 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*
a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^2)/((a^32 - 14*a^30*b^2 + 91*a^28*b^4 - 364*
a^26*b^6 + 1001*a^24*b^8 - 2002*a^22*b^10 + 3003*a^20*b^12 - 3432*a^18*b^14 + 3003*a^16*b^16 - 2002*a^14*b^18
+ 1001*a^12*b^20 - 364*a^10*b^22 + 91*a^8*b^24 - 14*a^6*b^26 + a^4*b^28)*d^4)))/((a^16 - 7*a^14*b^2 + 21*a^12*
b^4 - 35*a^10*b^6 + 35*a^8*b^8 - 21*a^6*b^10 + 7*a^4*b^12 - a^2*b^14)*d^2))*log(-161414428*a^20*b^7 + 11941373
500*a^18*b^9 + 532411302220*a^16*b^11 + 1240943253480*a^14*b^13 + 93205194180*a^12*b^15 - 91129831520*a^10*b^1
7 + 10129525980*a^8*b^19 - 543700080*a^6*b^21 + 16434880*a^4*b^23 - 277760*a^2*b^25 + 2048*b^27 - 1/13122*(108
045*a^33*b^2 + 1246000*a^31*b^4 - 8252545*a^29*b^6 + 14362502*a^27*b^8 + 3119725*a^25*b^10 - 42348705*a^23*b^1
2 + 60187305*a^21*b^14 - 37763145*a^19*b^16 + 8526966*a^17*b^18 + 1772925*a^15*b^20 - 1034740*a^13*b^22 + 7829
5*a^11*b^24 - 2660*a^9*b^26 + 32*a^7*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 32
9*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a
^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^1
6*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*
d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^
2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^
3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^1
8*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8
834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a
^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^1
4*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a
^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12
*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b
^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*
b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^
2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/
(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b
^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(102
9*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10
*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*
a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8
700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^
6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 +
8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*
b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))^2*d^4*sin(d*x + c) + 1/81*(823543
*a^27*b^4 + 356380430*a^25*b^6 + 10113422305*a^23*b^8 + 67531592520*a^21*b^10 + 143044567575*a^19*b^12 + 98746
645158*a^17*b^14 + 15418943610*a^15*b^16 - 1382094090*a^13*b^18 - 23892960*a^11*b^20 + 5179370*a^9*b^22 - 1915
76*a^7*b^24 + 2240*a^5*b^26)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 3
5*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 +
7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21
*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/5314
41*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^1
2*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*
(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35
*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 +
7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 +
21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d
^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 -
a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 8924071
1*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2
)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*
b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^1
0*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*
a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10
*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 31
73*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*
a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 +
35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^
2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 25908
4*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6
+ 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a
^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^2*sin(d*x + c) + 1/78732*sqrt(2/3)*sqrt(1/6)*
((2401*a^37 + 48524*a^35*b^2 - 1682975*a^33*b^4 + 6603275*a^31*b^6 - 4665683*a^29*b^8 - 22089037*a^27*b^10 + 5
9373627*a^25*b^12 - 63314565*a^23*b^14 + 29891400*a^21*b^16 - 748909*a^19*b^18 - 4864664*a^17*b^20 + 1529774*a
^15*b^22 - 85010*a^13*b^24 + 1850*a^11*b^26 - 8*a^9*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 79
17*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8
*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a
^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*
d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*
d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 -
a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b
^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1
180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(
(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^1
2*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6
*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 -
913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^
16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*
b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2
+ 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b
^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10
*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10
- 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^
6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^1
2*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(
117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^
10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*
(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4
*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))^2*d^5*cos(d*x + c)
- 162*(9947343*a^29*b^4 + 292790008*a^27*b^6 - 2753097753*a^25*b^8 - 44962633450*a^23*b^10 - 129793230435*a^2
1*b^12 - 112855972122*a^19*b^14 - 25039968999*a^17*b^16 + 1092578394*a^15*b^18 + 138817665*a^13*b^20 - 1196286
0*a^11*b^22 + 398384*a^9*b^24 - 6864*a^7*b^26 + 64*a^5*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 +
7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*
a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)
/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^
12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^
16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^
2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^2
0*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098
*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10
)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*
b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*
a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^
4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2
*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a
^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d
^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^
2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b
^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^
10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12
*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*
a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/106288
2*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8
*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 1
62*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*
b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^3*cos(d*x + c
) - 26244*(31294634*a^23*b^6 + 3250929990*a^21*b^8 + 73171807478*a^19*b^10 + 245222572301*a^17*b^12 + 23335179
5684*a^15*b^14 + 43340511440*a^13*b^16 - 5121621985*a^11*b^18 + 198326192*a^9*b^20 - 3185326*a^7*b^22 + 19656*
a^5*b^24 - 64*a^3*b^26)*d*cos(d*x + c) - 3*sqrt(1/3)*((2401*a^37 + 48524*a^35*b^2 - 1682975*a^33*b^4 + 6603275
*a^31*b^6 - 4665683*a^29*b^8 - 22089037*a^27*b^10 + 59373627*a^25*b^12 - 63314565*a^23*b^14 + 29891400*a^21*b^
16 - 748909*a^19*b^18 - 4864664*a^17*b^20 + 1529774*a^15*b^22 - 85010*a^13*b^24 + 1850*a^11*b^26 - 8*a^9*b^28)
*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14
*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^
2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*
d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*
b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2
+ 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b
^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10
*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10
- 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^
6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^1
2*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(
117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^
10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561
*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2
- 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2
*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d
^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*
a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^1
8*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^
4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^1
0*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913
533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 +
64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^1
0 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2
+ 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^5*cos(d*x + c) + 162*(1447803*a^29*b^4 - 2113034*a^27*b^6 - 24206406*a^25
*b^8 + 106832600*a^23*b^10 - 196587030*a^21*b^12 + 192986604*a^19*b^14 - 98610792*a^17*b^16 + 16488192*a^15*b^
18 + 6358275*a^13*b^20 - 2792370*a^11*b^22 + 202118*a^9*b^24 - 6024*a^7*b^26 + 64*a^5*b^28)*d^3*cos(d*x + c))*
sqrt((1620304560*a^18*b^6 + 93287972160*a^16*b^8 + 1710611738640*a^14*b^10 + 7452303136992*a^12*b^12 + 1130948
7743232*a^10*b^14 + 5170525774092*a^8*b^16 + 484282579032*a^6*b^18 - 75640115628*a^4*b^20 + 4494809880*a^2*b^2
2 - 90935460*b^24 - (a^32 - 14*a^30*b^2 + 91*a^28*b^4 - 364*a^26*b^6 + 1001*a^24*b^8 - 2002*a^22*b^10 + 3003*a
^20*b^12 - 3432*a^18*b^14 + 3003*a^16*b^16 - 2002*a^14*b^18 + 1001*a^12*b^20 - 364*a^10*b^22 + 91*a^8*b^24 - 1
4*a^6*b^26 + a^4*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12
)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*
b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*
b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(11
80*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*
d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(11764
9*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*
b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a
^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^1
4*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7
*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^
14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10
*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a
^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 -
35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2
+ 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b
^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*
d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2
*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^
10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^
8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 38
8257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*
b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917
*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8
*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))^2*d^4 + 324*(1180*a^24*b^4 + 574*a^22*b^6 - 29141*a^2
0*b^8 + 89124*a^18*b^10 - 103971*a^16*b^12 + 14469*a^14*b^14 + 87591*a^12*b^16 - 92859*a^10*b^18 + 38451*a^8*b
^20 - 4879*a^6*b^22 - 574*a^4*b^24 + 35*a^2*b^26)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b
^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2
- 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4
- 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^
4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*
a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^1
4*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 -
35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*
b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^
4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 -
a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^
2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 9135331
66*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*
b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 79
17*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8
*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64
*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7
*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^1
2)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 +
35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^
2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a
^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 588
2401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^
8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 3
5*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^2)/((a^32 - 14*a^30*b^2
+ 91*a^28*b^4 - 364*a^26*b^6 + 1001*a^24*b^8 - 2002*a^22*b^10 + 3003*a^20*b^12 - 3432*a^18*b^14 + 3003*a^16*b^
16 - 2002*a^14*b^18 + 1001*a^12*b^20 - 364*a^10*b^22 + 91*a^8*b^24 - 14*a^6*b^26 + a^4*b^28)*d^4)))*sqrt(-(573
480*a^8*b^4 + 4293324*a^6*b^6 + 3847662*a^4*b^8 + 159894*a^2*b^10 - 17010*b^12 - (a^16 - 7*a^14*b^2 + 21*a^12*
b^4 - 35*a^10*b^6 + 35*a^8*b^8 - 21*a^6*b^10 + 7*a^4*b^12 - a^2*b^14)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*
a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*
d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 +
119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 +
7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^
12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^
4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6
+ 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) -
5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 +
119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4
+ 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*
d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 38825782
1*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 -
5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4
+ 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a
^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8
- 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 -
21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 3
29*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4
- 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*
d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) +
1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 643
39744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^
(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 +
21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^2 -
3*sqrt(1/3)*(a^16 - 7*a^14*b^2 + 21*a^12*b^4 - 35*a^10*b^6 + 35*a^8*b^8 - 21*a^6*b^10 + 7*a^4*b^12 - a^2*b^14)
*d^2*sqrt((1620304560*a^18*b^6 + 93287972160*a^16*b^8 + 1710611738640*a^14*b^10 + 7452303136992*a^12*b^12 + 11
309487743232*a^10*b^14 + 5170525774092*a^8*b^16 + 484282579032*a^6*b^18 - 75640115628*a^4*b^20 + 4494809880*a^
2*b^22 - 90935460*b^24 - (a^32 - 14*a^30*b^2 + 91*a^28*b^4 - 364*a^26*b^6 + 1001*a^24*b^8 - 2002*a^22*b^10 + 3
003*a^20*b^12 - 3432*a^18*b^14 + 3003*a^16*b^16 - 2002*a^14*b^18 + 1001*a^12*b^20 - 364*a^10*b^22 + 91*a^8*b^2
4 - 14*a^6*b^26 + a^4*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35
*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7
*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*
a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/53144
1*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12
*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(
117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*
a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7
917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 2
1*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^
2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a
^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711
*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)
^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b
^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10
*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a
^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*
b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 317
3*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a
^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 +
35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2
- 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084
*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 +
7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^
8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))^2*d^4 + 324*(1180*a^24*b^4 + 574*a^22*b^6 - 2914
1*a^20*b^8 + 89124*a^18*b^10 - 103971*a^16*b^12 + 14469*a^14*b^14 + 87591*a^12*b^16 - 92859*a^10*b^18 + 38451*
a^8*b^20 - 4879*a^6*b^22 - 574*a^4*b^24 + 35*a^2*b^26)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*
a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^
8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18
*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4
- a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2
- 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^
2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*
d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180
*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^
18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d
^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^
10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 91
3533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16
+ 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6
+ 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 3
5*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10
+ 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^
6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 3
5*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d
^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b
^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117
649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10
- 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(11
80*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^
2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^2)/((a^32 - 14*a^30
*b^2 + 91*a^28*b^4 - 364*a^26*b^6 + 1001*a^24*b^8 - 2002*a^22*b^10 + 3003*a^20*b^12 - 3432*a^18*b^14 + 3003*a^
16*b^16 - 2002*a^14*b^18 + 1001*a^12*b^20 - 364*a^10*b^22 + 91*a^8*b^24 - 14*a^6*b^26 + a^4*b^28)*d^4)))/((a^1
6 - 7*a^14*b^2 + 21*a^12*b^4 - 35*a^10*b^6 + 35*a^8*b^8 - 21*a^6*b^10 + 7*a^4*b^12 - a^2*b^14)*d^2)) + 1/4374*
sqrt(1/3)*((108045*a^33*b^2 + 1246000*a^31*b^4 - 8252545*a^29*b^6 + 14362502*a^27*b^8 + 3119725*a^25*b^10 - 42
348705*a^23*b^12 + 60187305*a^21*b^14 - 37763145*a^19*b^16 + 8526966*a^17*b^18 + 1772925*a^15*b^20 - 1034740*a
^13*b^22 + 78295*a^11*b^24 - 2660*a^9*b^26 + 32*a^7*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 79
17*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8
*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a
^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*
d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*
d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 -
a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b
^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1
180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(
(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^1
2*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6
*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 -
913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^
16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*
b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2
+ 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b
^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10
*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10
- 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^
6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^1
2*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(
117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^
10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*
(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4
*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^4*sin(d*x + c) +
1134*(117649*a^27*b^4 - 3728410*a^25*b^6 + 23116945*a^23*b^8 - 67318215*a^21*b^10 + 112433355*a^19*b^12 - 115
334583*a^17*b^14 + 73197495*a^15*b^16 - 27454245*a^13*b^18 + 5360040*a^11*b^20 - 403555*a^9*b^22 + 13684*a^7*b
^24 - 160*a^5*b^26)*d^2*sin(d*x + c))*sqrt((1620304560*a^18*b^6 + 93287972160*a^16*b^8 + 1710611738640*a^14*b^
10 + 7452303136992*a^12*b^12 + 11309487743232*a^10*b^14 + 5170525774092*a^8*b^16 + 484282579032*a^6*b^18 - 756
40115628*a^4*b^20 + 4494809880*a^2*b^22 - 90935460*b^24 - (a^32 - 14*a^30*b^2 + 91*a^28*b^4 - 364*a^26*b^6 + 1
001*a^24*b^8 - 2002*a^22*b^10 + 3003*a^20*b^12 - 3432*a^18*b^14 + 3003*a^16*b^16 - 2002*a^14*b^18 + 1001*a^12*
b^20 - 364*a^10*b^22 + 91*a^8*b^24 - 14*a^6*b^26 + a^4*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 +
7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*
a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)
/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^
12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^
16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^
2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^2
0*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098
*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10
)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*
b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*
a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^
4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2
*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a
^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d
^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^
2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b
^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^
10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12
*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*
a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/106288
2*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8
*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 1
62*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*
b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))^2*d^4 + 324*(11
80*a^24*b^4 + 574*a^22*b^6 - 29141*a^20*b^8 + 89124*a^18*b^10 - 103971*a^16*b^12 + 14469*a^14*b^14 + 87591*a^1
2*b^16 - 92859*a^10*b^18 + 38451*a^8*b^20 - 4879*a^6*b^22 - 574*a^4*b^24 + 35*a^2*b^26)*((-I*sqrt(3) + 1)*((11
80*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*
d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6
- 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 -
21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 32
9*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a
^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^
6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6
- a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^
6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4
- 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6
*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a
^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 +
259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/53
1441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a
^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/106288
2*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 +
35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6
+ 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4
+ 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16
*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2
- a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240
711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b
^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2
- 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2
*b^14*d^2))*d^2)/((a^32 - 14*a^30*b^2 + 91*a^28*b^4 - 364*a^26*b^6 + 1001*a^24*b^8 - 2002*a^22*b^10 + 3003*a^2
0*b^12 - 3432*a^18*b^14 + 3003*a^16*b^16 - 2002*a^14*b^18 + 1001*a^12*b^20 - 364*a^10*b^22 + 91*a^8*b^24 - 14*
a^6*b^26 + a^4*b^28)*d^4)) + 2*(2363568410*a^19*b^8 + 68245683058*a^17*b^10 + 88199223245*a^15*b^12 - 16676485
2730*a^13*b^14 - 52364240705*a^11*b^16 + 7090272980*a^9*b^18 - 352540783*a^7*b^20 + 8295940*a^5*b^22 - 75040*a
^3*b^24)*sin(d*x + c)) + 108*(2*a^5*b + a^3*b^3 - 3*a*b^5)*cos(d*x + c)^2 + 54*((a^8 - 3*a^6*b^2 + 3*a^4*b^4 -
a^2*b^6)*d*cos(d*x + c)^3 - ((a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*d*cos(d*x + c)^5 - (a^7*b - 3*a^5*b^3 +
3*a^3*b^5 - a*b^7)*d*cos(d*x + c)^3)*sin(d*x + c))*sqrt(-1/13122*(-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^
6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 +
35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^
10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6
*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/
(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12
*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*
a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118
098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b
^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a
^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 -
21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14
*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*
a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) - 1/2*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834
*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6
*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*
a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14
*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*
b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^
12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 2
1*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062
882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a
^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) -
1/81*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^
12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*log(80707214
*a^20*b^7 - 5970686750*a^18*b^9 - 266205651110*a^16*b^11 - 620471626740*a^14*b^13 - 46602597090*a^12*b^15 + 45
564915760*a^10*b^17 - 5064762990*a^8*b^19 + 271850040*a^6*b^21 - 8217440*a^4*b^23 + 138880*a^2*b^25 - 1024*b^2
7 - 1/13122*(108045*a^33*b^2 + 1246000*a^31*b^4 - 8252545*a^29*b^6 + 14362502*a^27*b^8 + 3119725*a^25*b^10 - 4
2348705*a^23*b^12 + 60187305*a^21*b^14 - 37763145*a^19*b^16 + 8526966*a^17*b^18 + 1772925*a^15*b^20 - 1034740*
a^13*b^22 + 78295*a^11*b^24 - 2660*a^9*b^26 + 32*a^7*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7
917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^
8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(
a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12
*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16
*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2
- a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*
b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(
1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/
((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^
12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^
6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4
- 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b
^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6
*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2
+ 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*
b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^1
0*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10
- 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b
^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^
12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*
(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b
^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162
*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^
4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))^2*d^4*sin(d*x + c
) + 1/81*(823543*a^27*b^4 + 356380430*a^25*b^6 + 10113422305*a^23*b^8 + 67531592520*a^21*b^10 + 143044567575*a
^19*b^12 + 98746645158*a^17*b^14 + 15418943610*a^15*b^16 - 1382094090*a^13*b^18 - 23892960*a^11*b^20 + 5179370
*a^9*b^22 - 191576*a^7*b^24 + 2240*a^5*b^26)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 +
329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21
*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 - 7*a
^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^1
4*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*
b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2
)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a
^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 +
8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7
*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b
^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7
*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^
12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)
*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^
4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*
d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12
)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12
*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1
029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^
10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 3
5*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 -
8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*
a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*b^4
+ 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^1
0*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^2*sin(d*x + c) + 2*(236356841
0*a^19*b^8 + 68245683058*a^17*b^10 + 88199223245*a^15*b^12 - 166764852730*a^13*b^14 - 52364240705*a^11*b^16 +
7090272980*a^9*b^18 - 352540783*a^7*b^20 + 8295940*a^5*b^22 - 75040*a^3*b^24)*sin(d*x + c) + 1/1458*((2401*a^3
7 + 48524*a^35*b^2 - 1682975*a^33*b^4 + 6603275*a^31*b^6 - 4665683*a^29*b^8 - 22089037*a^27*b^10 + 59373627*a^
25*b^12 - 63314565*a^23*b^14 + 29891400*a^21*b^16 - 748909*a^19*b^18 - 4864664*a^17*b^20 + 1529774*a^15*b^22 -
85010*a^13*b^24 + 1850*a^11*b^26 - 8*a^9*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8
+ 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 -
21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 -
7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*
b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^
14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*
d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 3
5*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^
4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4
- 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^
4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2
+ 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166
*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^
18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917
*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b
^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b
^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a
^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)
*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35
*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2
- 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^1
8 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 58824
01*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a^8*
b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*
a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))^2*d^5*cos(d*x + c) - 162*(99
47343*a^29*b^4 + 292790008*a^27*b^6 - 2753097753*a^25*b^8 - 44962633450*a^23*b^10 - 129793230435*a^21*b^12 - 1
12855972122*a^19*b^14 - 25039968999*a^17*b^16 + 1092578394*a^15*b^18 + 138817665*a^13*b^20 - 11962860*a^11*b^2
2 + 398384*a^9*b^24 - 6864*a^7*b^26 + 64*a^5*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*
b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^
2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4
- 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a
^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7
*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^
14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6
- 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8
*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d
^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 -
a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d
^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533
166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64
*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7
917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^
8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 6
4*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 +
7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^
12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 +
35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d
^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*
a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 58
82401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1180*a
^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 -
35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^3*cos(d*x + c) - 26244*
(95530988*a^23*b^6 - 1505751135*a^21*b^8 - 138373217857*a^19*b^10 - 233765387464*a^17*b^12 + 231216558944*a^15
*b^14 + 83021287925*a^13*b^16 - 11614739875*a^11*b^18 + 639788507*a^9*b^20 - 19639666*a^7*b^22 + 357336*a^5*b^
24 - 3328*a^3*b^26)*d*cos(d*x + c))*sqrt(-1/13122*(-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^
8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2
- 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^18*d^4 -
7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4
*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a
^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14
*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 -
35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b
^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4
- 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a
^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2
+ 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 91353316
6*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b
^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) - 1/2*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917
*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b
^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b
^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a
^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)
*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35
*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2
- 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^1
8 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 58824
01*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) - 1/81*(1180*a^8
*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35
*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))) - 54*((a^8 - 3*a^6*b^2 + 3
*a^4*b^4 - a^2*b^6)*d*cos(d*x + c)^3 - ((a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*d*cos(d*x + c)^5 - (a^7*b - 3*
a^5*b^3 + 3*a^3*b^5 - a*b^7)*d*cos(d*x + c)^3)*sin(d*x + c))*sqrt(-1/13122*(-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8
834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*
b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^
8 + 119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d
^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 3
5*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 +
7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2
*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^
6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b
^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10
*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*
b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 3882
57821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^
14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) - 1/2*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*
b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 3
5*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b
^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6
- 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8
+ 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d
^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b
^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)
) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 +
64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6
))^(1/3) - 1/81*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d
^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*lo
g(-80707214*a^20*b^7 + 5970686750*a^18*b^9 + 266205651110*a^16*b^11 + 620471626740*a^14*b^13 + 46602597090*a^1
2*b^15 - 45564915760*a^10*b^17 + 5064762990*a^8*b^19 - 271850040*a^6*b^21 + 8217440*a^4*b^23 - 138880*a^2*b^25
+ 1024*b^27 + 1/13122*(108045*a^33*b^2 + 1246000*a^31*b^4 - 8252545*a^29*b^6 + 14362502*a^27*b^8 + 3119725*a^
25*b^10 - 42348705*a^23*b^12 + 60187305*a^21*b^14 - 37763145*a^19*b^16 + 8526966*a^17*b^18 + 1772925*a^15*b^20
- 1034740*a^13*b^22 + 78295*a^11*b^24 - 2660*a^9*b^26 + 32*a^7*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*
a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*
d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 +
119*b^10)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 +
7*a^6*b^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^
12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^
4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6
+ 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) -
5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 +
119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4
+ 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*
d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 38825782
1*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 -
5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4
+ 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a
^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8
- 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 -
21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 3
29*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4
- 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*
d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) +
1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 643
39744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^
(1/3) + 162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 +
21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))^2*d^4*
sin(d*x + c) - 1/81*(823543*a^27*b^4 + 356380430*a^25*b^6 + 10113422305*a^23*b^8 + 67531592520*a^21*b^10 + 143
044567575*a^19*b^12 + 98746645158*a^17*b^14 + 15418943610*a^15*b^16 - 1382094090*a^13*b^18 - 23892960*a^11*b^2
0 + 5179370*a^9*b^22 - 191576*a^7*b^24 + 2240*a^5*b^26)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7917
*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b
^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(a^1
8*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^
4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^
2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a
^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4
*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(118
0*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a
^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*
d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b
^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 9
13533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16
+ 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^
6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 +
35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^1
0 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d
^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 -
35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*
d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*
b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(11
7649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10
- 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162*(1
180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d
^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^2*sin(d*x + c) - 2
*(2363568410*a^19*b^8 + 68245683058*a^17*b^10 + 88199223245*a^15*b^12 - 166764852730*a^13*b^14 - 52364240705*a
^11*b^16 + 7090272980*a^9*b^18 - 352540783*a^7*b^20 + 8295940*a^5*b^22 - 75040*a^3*b^24)*sin(d*x + c) + 1/1458
*((2401*a^37 + 48524*a^35*b^2 - 1682975*a^33*b^4 + 6603275*a^31*b^6 - 4665683*a^29*b^8 - 22089037*a^27*b^10 +
59373627*a^25*b^12 - 63314565*a^23*b^14 + 29891400*a^21*b^16 - 748909*a^19*b^18 - 4864664*a^17*b^20 + 1529774*
a^15*b^22 - 85010*a^13*b^24 + 1850*a^11*b^26 - 8*a^9*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 + 7
917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^
8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/(
a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12
*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16
*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2
- a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*
b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(
1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/
((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^
12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^
6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4
- 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b
^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6
*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2
+ 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*
b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^1
0*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10
- 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b
^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^
12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*
(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b
^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 162
*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^
4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))^2*d^5*cos(d*x + c
) - 162*(9947343*a^29*b^4 + 292790008*a^27*b^6 - 2753097753*a^25*b^8 - 44962633450*a^23*b^10 - 129793230435*a^
21*b^12 - 112855972122*a^19*b^14 - 25039968999*a^17*b^16 + 1092578394*a^15*b^18 + 138817665*a^13*b^20 - 119628
60*a^11*b^22 + 398384*a^9*b^24 - 6864*a^7*b^26 + 64*a^5*b^28)*((-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6
+ 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35
*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10
)/(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b
^12*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a
^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d
^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^
20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/11809
8*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^1
0)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6
*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21
*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b
^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^
2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) + 6561*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*
a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*
d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a
^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*
b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b
^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^1
2*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21
*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/10628
82*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^
8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) +
162*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12
*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))*d^3*cos(d*x +
c) - 26244*(95530988*a^23*b^6 - 1505751135*a^21*b^8 - 138373217857*a^19*b^10 - 233765387464*a^17*b^12 + 231216
558944*a^15*b^14 + 83021287925*a^13*b^16 - 11614739875*a^11*b^18 + 639788507*a^9*b^20 - 19639666*a^7*b^22 + 35
7336*a^5*b^24 - 3328*a^3*b^26)*d*cos(d*x + c))*sqrt(-1/13122*(-I*sqrt(3) + 1)*((1180*a^8*b^4 + 8834*a^6*b^6 +
7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^2/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a
^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^2 + 15*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/
(a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^1
2*d^4 - a^4*b^14*d^4))/(-1/531441*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^1
6*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2
- a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20
*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^10*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*
(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)
/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b
^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a
^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4
- 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*
b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) - 1/2*(I*sqrt(3) + 1)*(-1/531441*(1180*a^8*b^4 + 8834*a^6
*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)^3/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b^4*d^2 - 35*a^10*b^6*d^2
+ 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)^3 - 1/1062882*(117649*a^4*b^8 - 5488*a^2*
b^10 + 64*b^12)/(a^24*d^6 - 7*a^22*b^2*d^6 + 21*a^20*b^4*d^6 - 35*a^18*b^6*d^6 + 35*a^16*b^8*d^6 - 21*a^14*b^1
0*d^6 + 7*a^12*b^12*d^6 - a^10*b^14*d^6) - 5/118098*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10
- 35*b^12)*(1029*a^4*b^6 - 3173*a^2*b^8 + 119*b^10)/((a^18*d^4 - 7*a^16*b^2*d^4 + 21*a^14*b^4*d^4 - 35*a^12*b
^6*d^4 + 35*a^10*b^8*d^4 - 21*a^8*b^10*d^4 + 7*a^6*b^12*d^4 - a^4*b^14*d^4)*(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^
12*b^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2)) + 1/1062882*
(117649*a^18 - 8700881*a^16*b^2 - 388257821*a^14*b^4 - 913533166*a^12*b^6 - 89240711*a^10*b^8 + 64339744*a^8*b
^10 - 5882401*a^6*b^12 + 259084*a^4*b^14 - 5936*a^2*b^16 + 64*b^18)*b^8/((a^2 - b^2)^14*a^10*d^6))^(1/3) - 1/8
1*(1180*a^8*b^4 + 8834*a^6*b^6 + 7917*a^4*b^8 + 329*a^2*b^10 - 35*b^12)/(a^16*d^2 - 7*a^14*b^2*d^2 + 21*a^12*b
^4*d^2 - 35*a^10*b^6*d^2 + 35*a^8*b^8*d^2 - 21*a^6*b^10*d^2 + 7*a^4*b^12*d^2 - a^2*b^14*d^2))) + 36*(a^6 - 2*a
^4*b^2 + a^2*b^4 - (7*a^4*b^2 + 37*a^2*b^4 + b^6)*cos(d*x + c)^4 + (2*a^6 - 19*a^4*b^2 + 17*a^2*b^4)*cos(d*x +
c)^2)*sin(d*x + c))/((a^8 - 3*a^6*b^2 + 3*a^4*b^4 - a^2*b^6)*d*cos(d*x + c)^3 - ((a^7*b - 3*a^5*b^3 + 3*a^3*b
^5 - a*b^7)*d*cos(d*x + c)^5 - (a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*d*cos(d*x + c)^3)*sin(d*x + c))

Mupad

Integral number [332] \[ \int \frac {\cos ^4(c+d x)}{\left (a+b \sin ^3(c+d x)\right )^2} \, dx \]

[B]   time = 37.1263 (sec), size = -1 ,normalized size = -0.04 \[ \text {Too large to display} \]

[In]

int(cos(c + d*x)^4/(a + b*sin(c + d*x)^3)^2,x)

[Out]

2/(3*d*(a*b + 8*b^2*tan(c/2 + (d*x)/2)^3 + 3*a*b*tan(c/2 + (d*x)/2)^2 + 3*a*b*tan(c/2 + (d*x)/2)^4 + a*b*tan(c
/2 + (d*x)/2)^6)) + symsum(log((638976*a^2*b^4 - 655360*b^6 - 8192*a^6 + 24576*a^4*b^2 - 2949120*root(531441*a
^10*b^8*d^6 + 59049*a^8*b^6*d^4 + 2187*a^6*b^4*d^2 + 48*a^2*b^4 + 15*a^4*b^2 + a^6 - 64*b^6, d, k)*a^3*b^5 + 2
138112*root(531441*a^10*b^8*d^6 + 59049*a^8*b^6*d^4 + 2187*a^6*b^4*d^2 + 48*a^2*b^4 + 15*a^4*b^2 + a^6 - 64*b^
6, d, k)*a^5*b^3 - 9437184*root(531441*a^10*b^8*d^6 + 59049*a^8*b^6*d^4 + 2187*a^6*b^4*d^2 + 48*a^2*b^4 + 15*a
^4*b^2 + a^6 - 64*b^6, d, k)*b^8*tan(c/2 + (d*x)/2) - 786432*a*b^5*tan(c/2 + (d*x)/2) + 98304*a^5*b*tan(c/2 +
(d*x)/2) - 21233664*root(531441*a^10*b^8*d^6 + 59049*a^8*b^6*d^4 + 2187*a^6*b^4*d^2 + 48*a^2*b^4 + 15*a^4*b^2
+ a^6 - 64*b^6, d, k)^2*a^2*b^8 + 18579456*root(531441*a^10*b^8*d^6 + 59049*a^8*b^6*d^4 + 2187*a^6*b^4*d^2 + 4
8*a^2*b^4 + 15*a^4*b^2 + a^6 - 64*b^6, d, k)^2*a^4*b^6 + 2654208*root(531441*a^10*b^8*d^6 + 59049*a^8*b^6*d^4
+ 2187*a^6*b^4*d^2 + 48*a^2*b^4 + 15*a^4*b^2 + a^6 - 64*b^6, d, k)^2*a^6*b^4 - 167215104*root(531441*a^10*b^8*
d^6 + 59049*a^8*b^6*d^4 + 2187*a^6*b^4*d^2 + 48*a^2*b^4 + 15*a^4*b^2 + a^6 - 64*b^6, d, k)^3*a^5*b^7 + 1134673
92*root(531441*a^10*b^8*d^6 + 59049*a^8*b^6*d^4 + 2187*a^6*b^4*d^2 + 48*a^2*b^4 + 15*a^4*b^2 + a^6 - 64*b^6, d
, k)^3*a^7*b^5 - 107495424*root(531441*a^10*b^8*d^6 + 59049*a^8*b^6*d^4 + 2187*a^6*b^4*d^2 + 48*a^2*b^4 + 15*a
^4*b^2 + a^6 - 64*b^6, d, k)^4*a^6*b^8 + 107495424*root(531441*a^10*b^8*d^6 + 59049*a^8*b^6*d^4 + 2187*a^6*b^4
*d^2 + 48*a^2*b^4 + 15*a^4*b^2 + a^6 - 64*b^6, d, k)^4*a^8*b^6 - 1934917632*root(531441*a^10*b^8*d^6 + 59049*a
^8*b^6*d^4 + 2187*a^6*b^4*d^2 + 48*a^2*b^4 + 15*a^4*b^2 + a^6 - 64*b^6, d, k)^5*a^7*b^9 + 1451188224*root(5314
41*a^10*b^8*d^6 + 59049*a^8*b^6*d^4 + 2187*a^6*b^4*d^2 + 48*a^2*b^4 + 15*a^4*b^2 + a^6 - 64*b^6, d, k)^5*a^9*b
^7 + 688128*a^3*b^3*tan(c/2 + (d*x)/2) - 1179648*root(531441*a^10*b^8*d^6 + 59049*a^8*b^6*d^4 + 2187*a^6*b^4*d
^2 + 48*a^2*b^4 + 15*a^4*b^2 + a^6 - 64*b^6, d, k)*a*b^7 + 12976128*root(531441*a^10*b^8*d^6 + 59049*a^8*b^6*d
^4 + 2187*a^6*b^4*d^2 + 48*a^2*b^4 + 15*a^4*b^2 + a^6 - 64*b^6, d, k)*a^2*b^6*tan(c/2 + (d*x)/2) - 6266880*roo
t(531441*a^10*b^8*d^6 + 59049*a^8*b^6*d^4 + 2187*a^6*b^4*d^2 + 48*a^2*b^4 + 15*a^4*b^2 + a^6 - 64*b^6, d, k)*a
^4*b^4*tan(c/2 + (d*x)/2) + 737280*root(531441*a^10*b^8*d^6 + 59049*a^8*b^6*d^4 + 2187*a^6*b^4*d^2 + 48*a^2*b^
4 + 15*a^4*b^2 + a^6 - 64*b^6, d, k)*a^6*b^2*tan(c/2 + (d*x)/2) - 53084160*root(531441*a^10*b^8*d^6 + 59049*a^
8*b^6*d^4 + 2187*a^6*b^4*d^2 + 48*a^2*b^4 + 15*a^4*b^2 + a^6 - 64*b^6, d, k)^2*a^3*b^7*tan(c/2 + (d*x)/2) + 50
429952*root(531441*a^10*b^8*d^6 + 59049*a^8*b^6*d^4 + 2187*a^6*b^4*d^2 + 48*a^2*b^4 + 15*a^4*b^2 + a^6 - 64*b^
6, d, k)^2*a^5*b^5*tan(c/2 + (d*x)/2) + 2654208*root(531441*a^10*b^8*d^6 + 59049*a^8*b^6*d^4 + 2187*a^6*b^4*d^
2 + 48*a^2*b^4 + 15*a^4*b^2 + a^6 - 64*b^6, d, k)^2*a^7*b^3*tan(c/2 + (d*x)/2) - 59719680*root(531441*a^10*b^8
*d^6 + 59049*a^8*b^6*d^4 + 2187*a^6*b^4*d^2 + 48*a^2*b^4 + 15*a^4*b^2 + a^6 - 64*b^6, d, k)^3*a^6*b^6*tan(c/2
+ (d*x)/2) + 5971968*root(531441*a^10*b^8*d^6 + 59049*a^8*b^6*d^4 + 2187*a^6*b^4*d^2 + 48*a^2*b^4 + 15*a^4*b^2
+ a^6 - 64*b^6, d, k)^3*a^8*b^4*tan(c/2 + (d*x)/2) - 859963392*root(531441*a^10*b^8*d^6 + 59049*a^8*b^6*d^4 +
2187*a^6*b^4*d^2 + 48*a^2*b^4 + 15*a^4*b^2 + a^6 - 64*b^6, d, k)^4*a^5*b^9*tan(c/2 + (d*x)/2) + 859963392*roo
t(531441*a^10*b^8*d^6 + 59049*a^8*b^6*d^4 + 2187*a^6*b^4*d^2 + 48*a^2*b^4 + 15*a^4*b^2 + a^6 - 64*b^6, d, k)^4
*a^7*b^7*tan(c/2 + (d*x)/2) - 483729408*root(531441*a^10*b^8*d^6 + 59049*a^8*b^6*d^4 + 2187*a^6*b^4*d^2 + 48*a
^2*b^4 + 15*a^4*b^2 + a^6 - 64*b^6, d, k)^5*a^8*b^8*tan(c/2 + (d*x)/2))/(a^3*b^4))*root(531441*a^10*b^8*d^6 +
59049*a^8*b^6*d^4 + 2187*a^6*b^4*d^2 + 48*a^2*b^4 + 15*a^4*b^2 + a^6 - 64*b^6, d, k), k, 1, 6)/d + (8*tan(c/2
+ (d*x)/2)^3)/(3*d*(3*a^2*tan(c/2 + (d*x)/2)^2 + 3*a^2*tan(c/2 + (d*x)/2)^4 + a^2*tan(c/2 + (d*x)/2)^6 + a^2 +
8*a*b*tan(c/2 + (d*x)/2)^3)) - (2*tan(c/2 + (d*x)/2)^5)/(3*d*(3*a^2*tan(c/2 + (d*x)/2)^2 + 3*a^2*tan(c/2 + (d
*x)/2)^4 + a^2*tan(c/2 + (d*x)/2)^6 + a^2 + 8*a*b*tan(c/2 + (d*x)/2)^3)) + (4*tan(c/2 + (d*x)/2)^2)/(3*d*(a*b
+ 8*b^2*tan(c/2 + (d*x)/2)^3 + 3*a*b*tan(c/2 + (d*x)/2)^2 + 3*a*b*tan(c/2 + (d*x)/2)^4 + a*b*tan(c/2 + (d*x)/2
)^6)) + (2*tan(c/2 + (d*x)/2)^4)/(3*d*(a*b + 8*b^2*tan(c/2 + (d*x)/2)^3 + 3*a*b*tan(c/2 + (d*x)/2)^2 + 3*a*b*t
an(c/2 + (d*x)/2)^4 + a*b*tan(c/2 + (d*x)/2)^6)) + (2*tan(c/2 + (d*x)/2))/(3*d*(3*a^2*tan(c/2 + (d*x)/2)^2 + 3
*a^2*tan(c/2 + (d*x)/2)^4 + a^2*tan(c/2 + (d*x)/2)^6 + a^2 + 8*a*b*tan(c/2 + (d*x)/2)^3))

Integral number [333] \[ \int \frac {\cos ^2(c+d x)}{\left (a+b \sin ^3(c+d x)\right )^2} \, dx \]

[B]   time = 37.0521 (sec), size = -1 ,normalized size = -0.04 \[ \text {Too large to display} \]

[In]

int(cos(c + d*x)^2/(a + b*sin(c + d*x)^3)^2,x)

[Out]

symsum(log(-((131072*b^2)/243 - (16384*a^2)/243 + (8192*root(531441*a^12*b^4*d^6 - 531441*a^10*b^6*d^6 + 19683
*a^8*b^4*d^4 + 729*a^6*b^2*d^2 - 16*a^2*b^2 + a^4 + 64*b^4, d, k)*a^4*tan(c/2 + (d*x)/2))/27 + (1048576*root(5
31441*a^12*b^4*d^6 - 531441*a^10*b^6*d^6 + 19683*a^8*b^4*d^4 + 729*a^6*b^2*d^2 - 16*a^2*b^2 + a^4 + 64*b^4, d,
k)*b^4*tan(c/2 + (d*x)/2))/27 + (262144*root(531441*a^12*b^4*d^6 - 531441*a^10*b^6*d^6 + 19683*a^8*b^4*d^4 +
729*a^6*b^2*d^2 - 16*a^2*b^2 + a^4 + 64*b^4, d, k)^2*a^2*b^4)/3 - (131072*root(531441*a^12*b^4*d^6 - 531441*a^
10*b^6*d^6 + 19683*a^8*b^4*d^4 + 729*a^6*b^2*d^2 - 16*a^2*b^2 + a^4 + 64*b^4, d, k)^2*a^4*b^2)/3 - 98304*root(
531441*a^12*b^4*d^6 - 531441*a^10*b^6*d^6 + 19683*a^8*b^4*d^4 + 729*a^6*b^2*d^2 - 16*a^2*b^2 + a^4 + 64*b^4, d
, k)^3*a^5*b^3 + 442368*root(531441*a^12*b^4*d^6 - 531441*a^10*b^6*d^6 + 19683*a^8*b^4*d^4 + 729*a^6*b^2*d^2 -
16*a^2*b^2 + a^4 + 64*b^4, d, k)^4*a^6*b^4 + 221184*root(531441*a^12*b^4*d^6 - 531441*a^10*b^6*d^6 + 19683*a^
8*b^4*d^4 + 729*a^6*b^2*d^2 - 16*a^2*b^2 + a^4 + 64*b^4, d, k)^4*a^8*b^2 + 7962624*root(531441*a^12*b^4*d^6 -
531441*a^10*b^6*d^6 + 19683*a^8*b^4*d^4 + 729*a^6*b^2*d^2 - 16*a^2*b^2 + a^4 + 64*b^4, d, k)^5*a^7*b^5 - 59719
68*root(531441*a^12*b^4*d^6 - 531441*a^10*b^6*d^6 + 19683*a^8*b^4*d^4 + 729*a^6*b^2*d^2 - 16*a^2*b^2 + a^4 + 6
4*b^4, d, k)^5*a^9*b^3 + (131072*root(531441*a^12*b^4*d^6 - 531441*a^10*b^6*d^6 + 19683*a^8*b^4*d^4 + 729*a^6*
b^2*d^2 - 16*a^2*b^2 + a^4 + 64*b^4, d, k)*a*b^3)/27 - (65536*root(531441*a^12*b^4*d^6 - 531441*a^10*b^6*d^6 +
19683*a^8*b^4*d^4 + 729*a^6*b^2*d^2 - 16*a^2*b^2 + a^4 + 64*b^4, d, k)*a^3*b)/27 - (131072*root(531441*a^12*b
^4*d^6 - 531441*a^10*b^6*d^6 + 19683*a^8*b^4*d^4 + 729*a^6*b^2*d^2 - 16*a^2*b^2 + a^4 + 64*b^4, d, k)*a^2*b^2*
tan(c/2 + (d*x)/2))/9 - (32768*root(531441*a^12*b^4*d^6 - 531441*a^10*b^6*d^6 + 19683*a^8*b^4*d^4 + 729*a^6*b^
2*d^2 - 16*a^2*b^2 + a^4 + 64*b^4, d, k)^2*a^5*b*tan(c/2 + (d*x)/2))/3 - (131072*root(531441*a^12*b^4*d^6 - 53
1441*a^10*b^6*d^6 + 19683*a^8*b^4*d^4 + 729*a^6*b^2*d^2 - 16*a^2*b^2 + a^4 + 64*b^4, d, k)^2*a^3*b^3*tan(c/2 +
(d*x)/2))/3 + 245760*root(531441*a^12*b^4*d^6 - 531441*a^10*b^6*d^6 + 19683*a^8*b^4*d^4 + 729*a^6*b^2*d^2 - 1
6*a^2*b^2 + a^4 + 64*b^4, d, k)^3*a^6*b^2*tan(c/2 + (d*x)/2) + 3538944*root(531441*a^12*b^4*d^6 - 531441*a^10*
b^6*d^6 + 19683*a^8*b^4*d^4 + 729*a^6*b^2*d^2 - 16*a^2*b^2 + a^4 + 64*b^4, d, k)^4*a^5*b^5*tan(c/2 + (d*x)/2)
- 2654208*root(531441*a^12*b^4*d^6 - 531441*a^10*b^6*d^6 + 19683*a^8*b^4*d^4 + 729*a^6*b^2*d^2 - 16*a^2*b^2 +
a^4 + 64*b^4, d, k)^4*a^7*b^3*tan(c/2 + (d*x)/2) + 1990656*root(531441*a^12*b^4*d^6 - 531441*a^10*b^6*d^6 + 19
683*a^8*b^4*d^4 + 729*a^6*b^2*d^2 - 16*a^2*b^2 + a^4 + 64*b^4, d, k)^5*a^8*b^4*tan(c/2 + (d*x)/2))/a^3)*root(5
31441*a^12*b^4*d^6 - 531441*a^10*b^6*d^6 + 19683*a^8*b^4*d^4 + 729*a^6*b^2*d^2 - 16*a^2*b^2 + a^4 + 64*b^4, d,
k), k, 1, 6)/d - (2*tan(c/2 + (d*x)/2)^5)/(3*d*(3*a^2*tan(c/2 + (d*x)/2)^2 + 3*a^2*tan(c/2 + (d*x)/2)^4 + a^2
*tan(c/2 + (d*x)/2)^6 + a^2 + 8*a*b*tan(c/2 + (d*x)/2)^3)) + (2*tan(c/2 + (d*x)/2))/(3*d*(3*a^2*tan(c/2 + (d*x
)/2)^2 + 3*a^2*tan(c/2 + (d*x)/2)^4 + a^2*tan(c/2 + (d*x)/2)^6 + a^2 + 8*a*b*tan(c/2 + (d*x)/2)^3))

Integral number [334] \[ \int \frac {1}{\left (a+b \sin ^3(c+d x)\right )^2} \, dx \]

[B]   time = 38.991 (sec), size = -1 ,normalized size = -0.07 \[ \text {Too large to display} \]

[In]

int(1/(a + b*sin(c + d*x)^3)^2,x)

[Out]

symsum(log(- (8192*(80*b^6 - 270*a^2*b^4))/(243*(a^7 + a^3*b^4 - 2*a^5*b^2)) - root(1594323*a^14*b^2*d^6 - 159
4323*a^12*b^4*d^6 + 531441*a^10*b^6*d^6 - 531441*a^16*d^6 - 59049*a^10*b^2*d^4 + 59049*a^8*b^4*d^4 - 177147*a^
12*d^4 + 8019*a^6*b^2*d^2 - 19683*a^8*d^2 + 432*a^2*b^2 - 64*b^4 - 729*a^4, d, k)*((8192*(144*a*b^7 + 648*a^3*
b^5 - 2187*a^5*b^3))/(243*(a^7 + a^3*b^4 - 2*a^5*b^2)) - root(1594323*a^14*b^2*d^6 - 1594323*a^12*b^4*d^6 + 53
1441*a^10*b^6*d^6 - 531441*a^16*d^6 - 59049*a^10*b^2*d^4 + 59049*a^8*b^4*d^4 - 177147*a^12*d^4 + 8019*a^6*b^2*
d^2 - 19683*a^8*d^2 + 432*a^2*b^2 - 64*b^4 - 729*a^4, d, k)*(root(1594323*a^14*b^2*d^6 - 1594323*a^12*b^4*d^6
+ 531441*a^10*b^6*d^6 - 531441*a^16*d^6 - 59049*a^10*b^2*d^4 + 59049*a^8*b^4*d^4 - 177147*a^12*d^4 + 8019*a^6*
b^2*d^2 - 19683*a^8*d^2 + 432*a^2*b^2 - 64*b^4 - 729*a^4, d, k)*((8192*(26973*a^7*b^5 - 20412*a^5*b^7 + 39366*
a^9*b^3))/(243*(a^7 + a^3*b^4 - 2*a^5*b^2)) - root(1594323*a^14*b^2*d^6 - 1594323*a^12*b^4*d^6 + 531441*a^10*b
^6*d^6 - 531441*a^16*d^6 - 59049*a^10*b^2*d^4 + 59049*a^8*b^4*d^4 - 177147*a^12*d^4 + 8019*a^6*b^2*d^2 - 19683
*a^8*d^2 + 432*a^2*b^2 - 64*b^4 - 729*a^4, d, k)*(root(1594323*a^14*b^2*d^6 - 1594323*a^12*b^4*d^6 + 531441*a^
10*b^6*d^6 - 531441*a^16*d^6 - 59049*a^10*b^2*d^4 + 59049*a^8*b^4*d^4 - 177147*a^12*d^4 + 8019*a^6*b^2*d^2 - 1
9683*a^8*d^2 + 432*a^2*b^2 - 64*b^4 - 729*a^4, d, k)*((8192*(236196*a^7*b^9 - 649539*a^9*b^7 + 590490*a^11*b^5
- 177147*a^13*b^3))/(243*(a^7 + a^3*b^4 - 2*a^5*b^2)) + (8192*tan(c/2 + (d*x)/2)*(6561*a^8*b^8 - 13122*a^10*b
^6 + 6561*a^12*b^4))/(27*(a^7 + a^3*b^4 - 2*a^5*b^2))) + (8192*(13122*a^6*b^8 - 85293*a^8*b^6 + 72171*a^10*b^4
))/(243*(a^7 + a^3*b^4 - 2*a^5*b^2)) + (8192*tan(c/2 + (d*x)/2)*(11664*a^5*b^9 - 40824*a^7*b^7 + 37908*a^9*b^5
- 8748*a^11*b^3))/(27*(a^7 + a^3*b^4 - 2*a^5*b^2))) + (8192*tan(c/2 + (d*x)/2)*(3078*a^6*b^6 - 8181*a^8*b^4))
/(27*(a^7 + a^3*b^4 - 2*a^5*b^2))) - (8192*(2592*a^2*b^8 - 11340*a^4*b^6 + 11664*a^6*b^4))/(243*(a^7 + a^3*b^4
- 2*a^5*b^2)) + (8192*tan(c/2 + (d*x)/2)*(1260*a^5*b^5 - 720*a^3*b^7 + 1944*a^7*b^3))/(27*(a^7 + a^3*b^4 - 2*
a^5*b^2))) + (8192*tan(c/2 + (d*x)/2)*(128*b^8 - 688*a^2*b^6 + 1053*a^4*b^4))/(27*(a^7 + a^3*b^4 - 2*a^5*b^2))
) - (8192*tan(c/2 + (d*x)/2)*(32*a*b^5 - 108*a^3*b^3))/(27*(a^7 + a^3*b^4 - 2*a^5*b^2)))*root(1594323*a^14*b^2
*d^6 - 1594323*a^12*b^4*d^6 + 531441*a^10*b^6*d^6 - 531441*a^16*d^6 - 59049*a^10*b^2*d^4 + 59049*a^8*b^4*d^4 -
177147*a^12*d^4 + 8019*a^6*b^2*d^2 - 19683*a^8*d^2 + 432*a^2*b^2 - 64*b^4 - 729*a^4, d, k), k, 1, 6)/d + ((2*
b)/(3*(a^2 - b^2)) + (8*b*tan(c/2 + (d*x)/2)^2)/(3*(a^2 - b^2)) - (2*b*tan(c/2 + (d*x)/2)^4)/(3*(a^2 - b^2)) -
(2*b^2*tan(c/2 + (d*x)/2))/(3*a*(a^2 - b^2)) + (8*b^2*tan(c/2 + (d*x)/2)^3)/(3*a*(a^2 - b^2)) + (2*b^2*tan(c/
2 + (d*x)/2)^5)/(3*a*(a^2 - b^2)))/(d*(a + 3*a*tan(c/2 + (d*x)/2)^2 + 3*a*tan(c/2 + (d*x)/2)^4 + a*tan(c/2 + (
d*x)/2)^6 + 8*b*tan(c/2 + (d*x)/2)^3))

Integral number [335] \[ \int \frac {\sec ^2(c+d x)}{\left (a+b \sin ^3(c+d x)\right )^2} \, dx \]

[B]   time = 41.9021 (sec), size = -1 ,normalized size = -0.04 \[ \text {Too large to display} \]

[In]

int(1/(cos(c + d*x)^2*(a + b*sin(c + d*x)^3)^2),x)

[Out]

symsum(log(5479612416*a^8*b^36 - 180486144*a^6*b^38 - root(5314410*a^16*b^4*d^6 - 5314410*a^14*b^6*d^6 - 26572
05*a^18*b^2*d^6 + 2657205*a^12*b^8*d^6 - 531441*a^10*b^10*d^6 + 531441*a^20*d^6 + 11514555*a^12*b^4*d^4 + 2066
715*a^14*b^2*d^4 + 1062882*a^10*b^6*d^4 - 295245*a^8*b^8*d^4 + 984150*a^8*b^4*d^2 - 98415*a^6*b^6*d^2 + 15625*
a^4*b^4 - 2000*a^2*b^6 + 64*b^8, d, k)*(tan(c/2 + (d*x)/2)*(764411904*a^6*b^40 - 27805483008*a^8*b^38 + 437297
356800*a^10*b^36 - 3672461721600*a^12*b^34 + 19250011791360*a^14*b^32 - 69150635753472*a^16*b^30 + 18016587200
1024*a^18*b^28 - 352655758540800*a^20*b^26 + 529923028377600*a^22*b^24 - 618699706859520*a^24*b^22 + 563713761
042432*a^26*b^20 - 399760062234624*a^28*b^18 + 218398602240000*a^30*b^16 - 90108039168000*a^32*b^14 + 27130620
764160*a^34*b^12 - 5617221156864*a^36*b^10 + 713536708608*a^38*b^8 - 41803776000*a^40*b^6) - root(5314410*a^16
*b^4*d^6 - 5314410*a^14*b^6*d^6 - 2657205*a^18*b^2*d^6 + 2657205*a^12*b^8*d^6 - 531441*a^10*b^10*d^6 + 531441*
a^20*d^6 + 11514555*a^12*b^4*d^4 + 2066715*a^14*b^2*d^4 + 1062882*a^10*b^6*d^4 - 295245*a^8*b^8*d^4 + 984150*a
^8*b^4*d^2 - 98415*a^6*b^6*d^2 + 15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8, d, k)*(root(5314410*a^16*b^4*d^6 - 531
4410*a^14*b^6*d^6 - 2657205*a^18*b^2*d^6 + 2657205*a^12*b^8*d^6 - 531441*a^10*b^10*d^6 + 531441*a^20*d^6 + 115
14555*a^12*b^4*d^4 + 2066715*a^14*b^2*d^4 + 1062882*a^10*b^6*d^4 - 295245*a^8*b^8*d^4 + 984150*a^8*b^4*d^2 - 9
8415*a^6*b^6*d^2 + 15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8, d, k)*(tan(c/2 + (d*x)/2)*(157695787008*a^12*b^38 -
4039140556800*a^14*b^36 + 39183049506816*a^16*b^34 - 212750482120704*a^18*b^32 + 750889290203136*a^20*b^30 - 1
854140141887488*a^22*b^28 + 3327952874029056*a^24*b^26 - 4413464400863232*a^26*b^24 + 4311710468702208*a^28*b^
22 - 3009938035433472*a^30*b^20 + 1359808836452352*a^32*b^18 - 238981192998912*a^34*b^16 - 150898421366784*a^3
6*b^14 + 136937506922496*a^38*b^12 - 52028967665664*a^40*b^10 + 10565134000128*a^42*b^8 - 976165945344*a^44*b^
6 + 12093235200*a^46*b^4) - root(5314410*a^16*b^4*d^6 - 5314410*a^14*b^6*d^6 - 2657205*a^18*b^2*d^6 + 2657205*
a^12*b^8*d^6 - 531441*a^10*b^10*d^6 + 531441*a^20*d^6 + 11514555*a^12*b^4*d^4 + 2066715*a^14*b^2*d^4 + 1062882
*a^10*b^6*d^4 - 295245*a^8*b^8*d^4 + 984150*a^8*b^4*d^2 - 98415*a^6*b^6*d^2 + 15625*a^4*b^4 - 2000*a^2*b^6 + 6
4*b^8, d, k)*(tan(c/2 + (d*x)/2)*(69657034752*a^11*b^41 - 1619526057984*a^13*b^39 + 16404231684096*a^15*b^37 -
99052303417344*a^17*b^35 + 405403942256640*a^19*b^33 - 1203882531618816*a^21*b^31 + 2700324609196032*a^23*b^2
9 - 4688893637296128*a^25*b^27 + 6394933732442112*a^27*b^25 - 6897962008903680*a^29*b^23 + 5886924977995776*a^
31*b^21 - 3949971812646912*a^33*b^19 + 2053768012627968*a^35*b^17 - 806001549115392*a^37*b^15 + 22777850363904
0*a^39*b^13 - 42212163059712*a^41*b^11 + 3970450980864*a^43*b^9 + 52242776064*a^45*b^7 - 34828517376*a^47*b^5)
+ 8707129344*a^12*b^40 - 470184984576*a^14*b^38 + 6308315209728*a^16*b^36 - 44092902998016*a^18*b^34 + 197477
693521920*a^20*b^32 - 623151832891392*a^22*b^30 + 1459506434899968*a^24*b^28 - 2616109254180864*a^26*b^26 + 36
53180601827328*a^28*b^24 - 4009284777738240*a^30*b^22 + 3462677318909952*a^32*b^20 - 2339013569937408*a^34*b^1
8 + 1217047711186944*a^36*b^16 - 473946464452608*a^38*b^14 + 130868154040320*a^40*b^12 - 22777850363904*a^42*b
^10 + 1645647446016*a^44*b^8 + 156728328192*a^46*b^6 - 30474952704*a^48*b^4 + root(5314410*a^16*b^4*d^6 - 5314
410*a^14*b^6*d^6 - 2657205*a^18*b^2*d^6 + 2657205*a^12*b^8*d^6 - 531441*a^10*b^10*d^6 + 531441*a^20*d^6 + 1151
4555*a^12*b^4*d^4 + 2066715*a^14*b^2*d^4 + 1062882*a^10*b^6*d^4 - 295245*a^8*b^8*d^4 + 984150*a^8*b^4*d^2 - 98
415*a^6*b^6*d^2 + 15625*a^4*b^4 - 2000*a^2*b^6 + 64*b^8, d, k)*(tan(c/2 + (d*x)/2)*(39182082048*a^14*b^40 - 70
5277476864*a^16*b^38 + 5994858553344*a^18*b^36 - 31972578951168*a^20*b^34 + 119897171066880*a^22*b^32 - 335712
078987264*a^24*b^30 + 727376171139072*a^26*b^28 - 1246930579095552*a^28*b^26 + 1714529546256384*a^30*b^24 - 19
05032829173760*a^32*b^22 + 1714529546256384*a^34*b^20 - 1246930579095552*a^36*b^18 + 727376171139072*a^38*b^16
- 335712078987264*a^40*b^14 + 119897171066880*a^42*b^12 - 31972578951168*a^44*b^10 + 5994858553344*a^46*b^8 -
705277476864*a^48*b^6 + 39182082048*a^50*b^4) + 156728328192*a^13*b^41 - 2938656153600*a^15*b^39 + 2609526664
3968*a^17*b^37 - 145874891464704*a^19*b^35 + 575506421121024*a^21*b^33 - 1702539829149696*a^23*b^31 + 39166409
21518080*a^25*b^29 - 7169850829799424*a^27*b^27 + 10598909922312192*a^29*b^25 - 12763719955464192*a^31*b^23 +
12573216672546816*a^33*b^21 - 10131310955151360*a^35*b^19 + 6650296421842944*a^37*b^17 - 3524976829366272*a^39
*b^15 + 1486724921229312*a^41*b^13 - 487581829005312*a^43*b^11 + 119897171066880*a^45*b^9 - 20805685567488*a^4
7*b^7 + 2272560758784*a^49*b^5 - 117546246144*a^51*b^3)) - 59982446592*a^11*b^39 + 1080651497472*a^13*b^37 - 6
860250464256*a^15*b^35 + 16482112118784*a^17*b^33 + 27170113388544*a^19*b^31 - 327284061511680*a^21*b^29 + 119
4949984370688*a^23*b^27 - 2698934854606848*a^25*b^25 + 4276847122808832*a^27*b^23 - 4968511002943488*a^29*b^21
+ 4288329891495936*a^31*b^19 - 2730918075604992*a^33*b^17 + 1245220111908864*a^35*b^15 - 377418744815616*a^37
*b^13 + 60571629010944*a^39*b^11 + 1483598094336*a^41*b^9 - 2465085063168*a^43*b^7 + 316842762240*a^45*b^5) -
1719926784*a^8*b^40 + 52457766912*a^10*b^38 - 657657004032*a^12*b^36 + 4778655326208*a^14*b^34 - 2313011286835
2*a^16*b^32 + 80237540597760*a^18*b^30 - 208280123670528*a^20*b^28 + 415493301510144*a^22*b^26 - 6473545351004
16*a^24*b^24 + 794486155567104*a^26*b^22 - 769729798176768*a^28*b^20 + 586362545233920*a^30*b^18 - 34739113431
8592*a^32*b^16 + 156884680286208*a^34*b^14 - 52204937674752*a^36*b^12 + 12071252385792*a^38*b^10 - 17329337303
04*a^40*b^8 + 116363796480*a^42*b^6 - tan(c/2 + (d*x)/2)*(19779158016*a^9*b^39 - 436216430592*a^11*b^37 + 3308
494159872*a^13*b^35 - 11619395371008*a^15*b^33 + 12486453460992*a^17*b^31 + 61196714901504*a^19*b^29 - 3343320
52733952*a^21*b^27 + 871706622099456*a^23*b^25 - 1507393926365184*a^25*b^23 + 1878255074082816*a^27*b^21 - 173
6372938899456*a^29*b^19 + 1197522672353280*a^31*b^17 - 608856446435328*a^33*b^15 + 221032950792192*a^35*b^13 -
53644731383808*a^37*b^11 + 7499310759936*a^39*b^9 - 345490292736*a^41*b^7 - 26873856000*a^43*b^5)) + 95551488
*a^7*b^39 + 6640828416*a^9*b^37 - 187507851264*a^11*b^35 + 1874314100736*a^13*b^33 - 10498349481984*a^15*b^31
+ 38554452099072*a^17*b^29 - 100273965023232*a^19*b^27 + 192807351779328*a^21*b^25 - 280858991542272*a^23*b^23
+ 313783776903168*a^25*b^21 - 269640960196608*a^27*b^19 + 177127448150016*a^29*b^17 - 87483347288064*a^31*b^1
5 + 31483928641536*a^33*b^13 - 7801408733184*a^35*b^11 + 1191025410048*a^37*b^9 - 84503347200*a^39*b^7) - 5983
7128704*a^10*b^34 + 363432738816*a^12*b^32 - 1444185759744*a^14*b^30 + 4071882866688*a^16*b^28 - 8529191903232
*a^18*b^26 + 13638053265408*a^20*b^24 - 16903052255232*a^22*b^22 + 16345206079488*a^24*b^20 - 12319205842944*a
^26*b^18 + 7172803362816*a^28*b^16 - 3166919368704*a^30*b^14 + 1026022588416*a^32*b^12 - 230217375744*a^34*b^1
0 + 31983206400*a^36*b^8 - 2073600000*a^38*b^6 - tan(c/2 + (d*x)/2)*(1911029760*a^7*b^37 - 56614256640*a^9*b^3
5 + 591941468160*a^11*b^33 - 3412860272640*a^13*b^31 + 12781922549760*a^15*b^29 - 33715581419520*a^17*b^27 + 6
5518222049280*a^19*b^25 - 96227753656320*a^21*b^23 + 108217793249280*a^23*b^21 - 93494981099520*a^25*b^19 + 61
692340469760*a^27*b^17 - 30585314672640*a^29*b^15 + 11042885468160*a^31*b^13 - 2743999856640*a^33*b^11 + 41994
8789760*a^35*b^9 - 29859840000*a^37*b^7))*root(5314410*a^16*b^4*d^6 - 5314410*a^14*b^6*d^6 - 2657205*a^18*b^2*
d^6 + 2657205*a^12*b^8*d^6 - 531441*a^10*b^10*d^6 + 531441*a^20*d^6 + 11514555*a^12*b^4*d^4 + 2066715*a^14*b^2
*d^4 + 1062882*a^10*b^6*d^4 - 295245*a^8*b^8*d^4 + 984150*a^8*b^4*d^2 - 98415*a^6*b^6*d^2 + 15625*a^4*b^4 - 20
00*a^2*b^6 + 64*b^8, d, k), k, 1, 6)/d - ((2*(7*a^2*b + 2*b^3))/(3*(a^2 - b^2)^2) + (2*tan(c/2 + (d*x)/2)^6*(5
*a^2*b + 4*b^3))/(3*(a^2 - b^2)^2) + (2*tan(c/2 + (d*x)/2)^2*(19*a^2*b + 8*b^3))/(3*(a^2 - b^2)^2) - (2*tan(c/
2 + (d*x)/2)^4*(7*a^2*b + 38*b^3))/(3*(a^2 - b^2)^2) + (6*tan(c/2 + (d*x)/2)^3*(b^4 - a^4 + 5*a^2*b^2))/(a*(a^
2 - b^2)^2) - (2*tan(c/2 + (d*x)/2)^5*(9*a^4 + 7*b^4 + 11*a^2*b^2))/(3*a*(a^2 - b^2)^2) - (2*tan(c/2 + (d*x)/2
)^7*(3*a^4 + b^4 + 5*a^2*b^2))/(3*a*(a^4 + b^4 - 2*a^2*b^2)) - (2*tan(c/2 + (d*x)/2)*(3*a^4 + b^4 + 5*a^2*b^2)
)/(3*a*(a^2 - b^2)^2))/(d*(a + 2*a*tan(c/2 + (d*x)/2)^2 - 2*a*tan(c/2 + (d*x)/2)^6 - a*tan(c/2 + (d*x)/2)^8 +
8*b*tan(c/2 + (d*x)/2)^3 - 8*b*tan(c/2 + (d*x)/2)^5))

Integral number [336] \[ \int \frac {\sec ^4(c+d x)}{\left (a+b \sin ^3(c+d x)\right )^2} \, dx \]

[B]   time = 46.2957 (sec), size = -1 ,normalized size = -0.04 \[ \text {Too large to display} \]

[In]

int(1/(cos(c + d*x)^4*(a + b*sin(c + d*x)^3)^2),x)

[Out]

symsum(log(26838024192*a^8*b^54 - tan(c/2 + (d*x)/2)*(7962624000*a^7*b^55 - 508612608000*a^9*b^53 + 8841498624
000*a^11*b^51 - 82283765760000*a^13*b^49 + 501714984960000*a^15*b^47 - 2205295497216000*a^17*b^45 + 7379181637
632000*a^19*b^43 - 19451488075776000*a^21*b^41 + 41318016122880000*a^23*b^39 - 71811432161280000*a^25*b^37 + 1
03155513237504000*a^27*b^35 - 123224906907648000*a^29*b^33 + 122756816093184000*a^31*b^31 - 101967282708480000
*a^33*b^29 + 70396872007680000*a^35*b^27 - 40129785593856000*a^37*b^25 + 18687625592832000*a^39*b^23 - 6994754
113536000*a^41*b^21 + 2053854351360000*a^43*b^19 - 455730831360000*a^45*b^17 + 71860690944000*a^47*b^15 - 7177
310208000*a^49*b^13 + 341397504000*a^51*b^11) - 392822784*a^6*b^56 - root(18600435*a^18*b^6*d^6 - 18600435*a^1
6*b^8*d^6 - 11160261*a^20*b^4*d^6 + 11160261*a^14*b^10*d^6 + 3720087*a^22*b^2*d^6 - 3720087*a^12*b^12*d^6 + 53
1441*a^10*b^14*d^6 - 531441*a^24*d^6 - 173879622*a^14*b^6*d^4 - 155830311*a^12*b^8*d^4 - 23225940*a^16*b^4*d^4
- 6475707*a^10*b^10*d^4 + 688905*a^8*b^12*d^4 - 11565585*a^8*b^8*d^2 + 3750705*a^10*b^6*d^2 + 433755*a^6*b^10
*d^2 - 117649*a^4*b^8 + 5488*a^2*b^10 - 64*b^12, d, k)*(tan(c/2 + (d*x)/2)*(764411904*a^6*b^58 - 61439606784*a
^8*b^56 + 2110475575296*a^10*b^54 - 33643637121024*a^12*b^52 + 319697763065856*a^14*b^50 - 2067381036048384*a^
16*b^48 + 9810082122817536*a^18*b^46 - 35797302942326784*a^20*b^44 + 103613766013034496*a^22*b^42 - 2430046994
98881024*a^24*b^40 + 468678655511248896*a^26*b^38 - 750973819695611904*a^28*b^36 + 1006348379003928576*a^30*b^
34 - 1132028278205497344*a^32*b^32 + 1070100496146087936*a^34*b^30 - 848821864657895424*a^36*b^28 + 5626355927
01198336*a^38*b^26 - 309384400894377984*a^40*b^24 + 139566181489975296*a^42*b^22 - 50807786761396224*a^44*b^20
+ 14569217952178176*a^46*b^18 - 3172130021597184*a^48*b^16 + 494158536400896*a^50*b^14 - 49418889191424*a^52*
b^12 + 2463538323456*a^54*b^10 - 14338695168*a^56*b^8) + 95551488*a^7*b^57 + 35879583744*a^9*b^55 - 1812522147
840*a^11*b^53 + 29896430247936*a^13*b^51 - 273690491977728*a^15*b^49 + 1665068560662528*a^17*b^47 - 7358934856
605696*a^19*b^45 + 24887080515133440*a^21*b^43 - 66575487905316864*a^23*b^41 + 144045035942510592*a^25*b^39 -
255939373888192512*a^27*b^37 + 377317716543258624*a^29*b^35 - 464589495171809280*a^31*b^33 + 47947008416012697
6*a^33*b^31 - 415092174607761408*a^35*b^29 + 300910589340991488*a^37*b^27 - 181823043267035136*a^39*b^25 + 908
63416678809600*a^41*b^23 - 37111903240495104*a^43*b^21 + 12175612162301952*a^45*b^19 - 3127996467412992*a^47*b
^17 + 605418993598464*a^49*b^15 - 82897275985920*a^51*b^13 + 7145262637056*a^53*b^11 - 290870673408*a^55*b^9 +
root(18600435*a^18*b^6*d^6 - 18600435*a^16*b^8*d^6 - 11160261*a^20*b^4*d^6 + 11160261*a^14*b^10*d^6 + 3720087
*a^22*b^2*d^6 - 3720087*a^12*b^12*d^6 + 531441*a^10*b^14*d^6 - 531441*a^24*d^6 - 173879622*a^14*b^6*d^4 - 1558
30311*a^12*b^8*d^4 - 23225940*a^16*b^4*d^4 - 6475707*a^10*b^10*d^4 + 688905*a^8*b^12*d^4 - 11565585*a^8*b^8*d^
2 + 3750705*a^10*b^6*d^2 + 433755*a^6*b^10*d^2 - 117649*a^4*b^8 + 5488*a^2*b^10 - 64*b^12, d, k)*(tan(c/2 + (d
*x)/2)*(45578059776*a^9*b^57 - 1988020371456*a^11*b^55 + 21725255172096*a^13*b^53 - 78629462802432*a^15*b^51 -
330769869373440*a^17*b^49 + 5337288405614592*a^19*b^47 - 32144913894998016*a^21*b^45 + 126404118900965376*a^2
3*b^43 - 367050326151462912*a^25*b^41 + 829818883454238720*a^27*b^39 - 1502808604998893568*a^29*b^37 + 2216700
870917750784*a^31*b^35 - 2688523449382600704*a^33*b^33 + 2692902186903011328*a^35*b^31 - 2227622993351147520*a
^37*b^29 + 1515332894269243392*a^39*b^27 - 839694861496221696*a^41*b^25 + 372789943915216896*a^43*b^23 - 12885
4679612424192*a^45*b^21 + 32863270985072640*a^47*b^19 - 5445156193763328*a^49*b^17 + 316457498640384*a^51*b^15
+ 91463986446336*a^53*b^13 - 25165538721792*a^55*b^11 + 2461645209600*a^57*b^9 - 73741860864*a^59*b^7) + root
(18600435*a^18*b^6*d^6 - 18600435*a^16*b^8*d^6 - 11160261*a^20*b^4*d^6 + 11160261*a^14*b^10*d^6 + 3720087*a^22
*b^2*d^6 - 3720087*a^12*b^12*d^6 + 531441*a^10*b^14*d^6 - 531441*a^24*d^6 - 173879622*a^14*b^6*d^4 - 155830311
*a^12*b^8*d^4 - 23225940*a^16*b^4*d^4 - 6475707*a^10*b^10*d^4 + 688905*a^8*b^12*d^4 - 11565585*a^8*b^8*d^2 + 3
750705*a^10*b^6*d^2 + 433755*a^6*b^10*d^2 - 117649*a^4*b^8 + 5488*a^2*b^10 - 64*b^12, d, k)*(root(18600435*a^1
8*b^6*d^6 - 18600435*a^16*b^8*d^6 - 11160261*a^20*b^4*d^6 + 11160261*a^14*b^10*d^6 + 3720087*a^22*b^2*d^6 - 37
20087*a^12*b^12*d^6 + 531441*a^10*b^14*d^6 - 531441*a^24*d^6 - 173879622*a^14*b^6*d^4 - 155830311*a^12*b^8*d^4
- 23225940*a^16*b^4*d^4 - 6475707*a^10*b^10*d^4 + 688905*a^8*b^12*d^4 - 11565585*a^8*b^8*d^2 + 3750705*a^10*b
^6*d^2 + 433755*a^6*b^10*d^2 - 117649*a^4*b^8 + 5488*a^2*b^10 - 64*b^12, d, k)*(tan(c/2 + (d*x)/2)*(6965703475
2*a^11*b^59 - 2855938424832*a^13*b^57 + 46200028299264*a^15*b^55 - 432918470983680*a^17*b^53 + 273299375849472
0*a^19*b^51 - 12560556506480640*a^21*b^49 + 43925900257198080*a^23*b^47 - 119837962587340800*a^25*b^45 + 25765
1619562782720*a^27*b^43 - 433619569038458880*a^29*b^41 + 549558392034263040*a^31*b^39 - 452796847276032000*a^3
3*b^37 + 36223747782082560*a^35*b^35 + 641677817854033920*a^37*b^33 - 1337691257381191680*a^39*b^31 + 17594391
77986867200*a^41*b^29 - 1756851767431004160*a^43*b^27 + 1404659530591764480*a^45*b^25 - 917046791277281280*a^4
7*b^23 + 491599995054981120*a^49*b^21 - 215796448806174720*a^51*b^19 + 76837281894236160*a^53*b^17 - 218247679
85909760*a^55*b^15 + 4817480523448320*a^57*b^13 - 793393625825280*a^59*b^11 + 91181058490368*a^61*b^9 - 646068
9973248*a^63*b^7 + 208971104256*a^65*b^5) + root(18600435*a^18*b^6*d^6 - 18600435*a^16*b^8*d^6 - 11160261*a^20
*b^4*d^6 + 11160261*a^14*b^10*d^6 + 3720087*a^22*b^2*d^6 - 3720087*a^12*b^12*d^6 + 531441*a^10*b^14*d^6 - 5314
41*a^24*d^6 - 173879622*a^14*b^6*d^4 - 155830311*a^12*b^8*d^4 - 23225940*a^16*b^4*d^4 - 6475707*a^10*b^10*d^4
+ 688905*a^8*b^12*d^4 - 11565585*a^8*b^8*d^2 + 3750705*a^10*b^6*d^2 + 433755*a^6*b^10*d^2 - 117649*a^4*b^8 + 5
488*a^2*b^10 - 64*b^12, d, k)*(tan(c/2 + (d*x)/2)*(39182082048*a^14*b^58 - 1057916215296*a^16*b^56 + 137529107
98848*a^18*b^54 - 114607589990400*a^20*b^52 + 687645539942400*a^22*b^50 - 3163169483735040*a^24*b^48 + 1159828
8107028480*a^26*b^46 - 34794864321085440*a^28*b^44 + 86987160802713600*a^30*b^42 - 183639561694617600*a^32*b^4
0 + 330551211050311680*a^34*b^38 - 510851871623208960*a^36*b^36 + 681135828830945280*a^38*b^34 - 7859259563433
98400*a^40*b^32 + 785925956343398400*a^42*b^30 - 681135828830945280*a^44*b^28 + 510851871623208960*a^46*b^26 -
330551211050311680*a^48*b^24 + 183639561694617600*a^50*b^22 - 86987160802713600*a^52*b^20 + 34794864321085440
*a^54*b^18 - 11598288107028480*a^56*b^16 + 3163169483735040*a^58*b^14 - 687645539942400*a^60*b^12 + 1146075899
90400*a^62*b^10 - 13752910798848*a^64*b^8 + 1057916215296*a^66*b^6 - 39182082048*a^68*b^4) + 156728328192*a^13
*b^59 - 4349211107328*a^15*b^57 + 58185391841280*a^17*b^55 - 499689092358144*a^19*b^53 + 3094404929740800*a^21
*b^51 - 14715614554767360*a^23*b^49 + 55882660879319040*a^25*b^47 - 173974321605427200*a^27*b^45 + 45233323617
4110720*a^29*b^43 - 995519729186611200*a^31*b^41 + 1873123529285099520*a^33*b^39 - 3035061119643770880*a^35*b^
37 + 4257098930193408000*a^37*b^35 - 5187111311866429440*a^39*b^33 + 5501481694403788800*a^41*b^31 - 508232118
4353976320*a^43*b^29 + 4086814972985671680*a^45*b^27 - 2854760459070873600*a^47*b^25 + 1726211879929405440*a^4
9*b^23 - 898867328294707200*a^51*b^21 + 400140939692482560*a^53*b^19 - 150777745391370240*a^55*b^17 + 47447542
256025600*a^57*b^15 - 12240090610974720*a^59*b^13 + 2521366979788800*a^61*b^11 - 398834413166592*a^63*b^9 + 45
490397257728*a^65*b^7 - 3330476974080*a^67*b^5 + 117546246144*a^69*b^3) + 8707129344*a^12*b^58 - 1332190789632
*a^14*b^56 + 28681284059136*a^16*b^54 - 311301641871360*a^18*b^52 + 2177740120227840*a^20*b^50 - 1092239719170
0480*a^22*b^48 + 41634880384204800*a^24*b^46 - 125003771820195840*a^26*b^44 + 302447666790973440*a^28*b^42 - 5
98319665965711360*a^30*b^40 + 975644030336532480*a^32*b^38 - 1314242849218682880*a^34*b^36 + 14554184376729600
00*a^36*b^34 - 1304054920154972160*a^38*b^32 + 908181105107927040*a^40*b^30 - 436625531301888000*a^42*b^28 + 6
6949248132956160*a^44*b^26 + 118659409094983680*a^46*b^24 - 149422959601090560*a^48*b^22 + 105921118310768640*
a^50*b^20 - 54125344499466240*a^52*b^18 + 21015701527265280*a^54*b^16 - 6236220178759680*a^56*b^14 + 138822116
6960640*a^58*b^12 - 222162405212160*a^60*b^10 + 23587613392896*a^62*b^8 - 1410554953728*a^64*b^6 + 30474952704
*a^66*b^4) - tan(c/2 + (d*x)/2)*(505980960768*a^12*b^56 - 28050984640512*a^14*b^54 + 435764251090944*a^16*b^52
- 3575718109347840*a^18*b^50 + 18730264859099136*a^20*b^48 - 67896173119315968*a^22*b^46 + 175151109969174528
*a^24*b^44 - 313178493592682496*a^26*b^42 + 322543721316925440*a^28*b^40 + 87817901724942336*a^30*b^38 - 11411
07740572336128*a^32*b^36 + 2683287241504063488*a^34*b^34 - 4099946394045874176*a^36*b^32 + 4680202272693534720
*a^38*b^30 - 4159807137221197824*a^40*b^28 + 2907691359083200512*a^42*b^26 - 1583635567837888512*a^44*b^24 + 6
50291463103832064*a^46*b^22 - 184497987902054400*a^48*b^20 + 25459845498372096*a^50*b^18 + 4948055537467392*a^
52*b^16 - 3746991697108992*a^54*b^14 + 988831432433664*a^56*b^12 - 136164991057920*a^58*b^10 + 8069573984256*a
^60*b^8 + 13544423424*a^62*b^6) + 137379151872*a^11*b^57 - 4254400143360*a^13*b^55 + 29689859874816*a^15*b^53
+ 87020018122752*a^17*b^51 - 2614627107274752*a^19*b^49 + 20133104812498944*a^21*b^47 - 94005764925972480*a^23
*b^45 + 309275227789295616*a^25*b^43 - 759972938071523328*a^27*b^41 + 1428994663615807488*a^29*b^39 - 20578779
23764617216*a^31*b^37 + 2199908326418841600*a^33*b^35 - 1543980376177311744*a^35*b^33 + 260078196862697472*a^3
7*b^31 + 1033592707257090048*a^39*b^29 - 1728050263069556736*a^41*b^27 + 1665648670228807680*a^43*b^25 - 11485
76443783962624*a^45*b^23 + 593098899751084032*a^47*b^21 - 228687912023703552*a^49*b^19 + 63216104157609984*a^5
1*b^17 - 11132817065533440*a^53*b^15 + 707704347303936*a^55*b^13 + 175924646019072*a^57*b^11 - 46657636319232*
a^59*b^9 + 3600881713152*a^61*b^7) + 1719926784*a^8*b^58 - 109860323328*a^10*b^56 + 2586984873984*a^12*b^54 -
35812476739584*a^14*b^52 + 329722810195968*a^16*b^50 - 2157051013447680*a^18*b^48 + 10507597396918272*a^20*b^4
6 - 39457190948069376*a^22*b^44 + 117177686419562496*a^24*b^42 - 280405445559386112*a^26*b^40 + 54797133496909
8240*a^28*b^38 - 882457306853326848*a^30*b^36 + 1177391139070132224*a^32*b^34 - 1303949437690281984*a^34*b^32
+ 1196629258750230528*a^36*b^30 - 904425852978708480*a^38*b^28 + 556165530870792192*a^40*b^26 - 27208276349475
2256*a^42*b^24 + 101333478214434816*a^44*b^22 - 25813305663086592*a^46*b^20 + 2756171653079040*a^48*b^18 + 957
737252339712*a^50*b^16 - 557094927384576*a^52*b^14 + 135955536224256*a^54*b^12 - 17862568353792*a^56*b^10 + 10
32386052096*a^58*b^8)) - 547736297472*a^10*b^52 + 5998567809024*a^12*b^50 - 42798845214720*a^14*b^48 + 2188373
97897216*a^16*b^46 - 847734439845888*a^18*b^44 + 2578107250925568*a^20*b^42 - 6304715180015616*a^22*b^40 + 126
05115522908160*a^24*b^38 - 20839646107090944*a^26*b^36 + 28704537977536512*a^28*b^34 - 33083332509007872*a^30*
b^32 + 31955047610056704*a^32*b^30 - 25837736359772160*a^34*b^28 + 17420116682981376*a^36*b^26 - 9723722502832
128*a^38*b^24 + 4443893749628928*a^40*b^22 - 1635506216902656*a^42*b^20 + 472961442078720*a^44*b^18 - 10350208
9764864*a^46*b^16 + 16115525517312*a^48*b^14 - 1591065649152*a^50*b^12 + 74879852544*a^52*b^10)*root(18600435*
a^18*b^6*d^6 - 18600435*a^16*b^8*d^6 - 11160261*a^20*b^4*d^6 + 11160261*a^14*b^10*d^6 + 3720087*a^22*b^2*d^6 -
3720087*a^12*b^12*d^6 + 531441*a^10*b^14*d^6 - 531441*a^24*d^6 - 173879622*a^14*b^6*d^4 - 155830311*a^12*b^8*
d^4 - 23225940*a^16*b^4*d^4 - 6475707*a^10*b^10*d^4 + 688905*a^8*b^12*d^4 - 11565585*a^8*b^8*d^2 + 3750705*a^1
0*b^6*d^2 + 433755*a^6*b^10*d^2 - 117649*a^4*b^8 + 5488*a^2*b^10 - 64*b^12, d, k), k, 1, 6)/d + ((2*(4*a^4*b +
3*b^5 + 38*a^2*b^3))/(3*(a^2 - b^2)*(a^4 + b^4 - 2*a^2*b^2)) - (2*tan(c/2 + (d*x)/2)^8*(47*b^5 - 4*a^4*b + 62
*a^2*b^3))/((a^2 - b^2)*(a^4 + b^4 - 2*a^2*b^2)) + (4*tan(c/2 + (d*x)/2)^6*(119*b^5 - 24*a^4*b + 220*a^2*b^3))
/(3*(a^2 - b^2)*(a^4 + b^4 - 2*a^2*b^2)) + (6*tan(c/2 + (d*x)/2)^2*(b^5 + 4*a^2*b^3))/((a^2 - b^2)*(a^4 + b^4
- 2*a^2*b^2)) - (100*tan(c/2 + (d*x)/2)^4*(b^5 + 2*a^2*b^3))/((a^2 - b^2)*(a^4 + b^4 - 2*a^2*b^2)) + (6*tan(c/
2 + (d*x)/2)^10*(b^5 + 4*a^2*b^3))/((a^2 - b^2)*(a^4 + b^4 - 2*a^2*b^2)) - (2*tan(c/2 + (d*x)/2)^11*(b^6 - 3*a
^6 + 19*a^2*b^4 + 28*a^4*b^2))/(3*a*(a^2 - b^2)*(a^4 + b^4 - 2*a^2*b^2)) - (2*tan(c/2 + (d*x)/2)^9*(9*b^6 - 7*
a^6 + 19*a^2*b^4 + 24*a^4*b^2))/(3*a*(a^2 - b^2)*(a^4 + b^4 - 2*a^2*b^2)) + (4*tan(c/2 + (d*x)/2)^7*(3*a^6 + 1
7*b^6 + 179*a^2*b^4 + 26*a^4*b^2))/(3*a*(a^2 - b^2)*(a^4 + b^4 - 2*a^2*b^2)) + (2*tan(c/2 + (d*x)/2)^3*(7*a^6
+ 15*b^6 + 285*a^2*b^4 + 8*a^4*b^2))/(3*a*(a^2 - b^2)*(a^4 + b^4 - 2*a^2*b^2)) - (4*tan(c/2 + (d*x)/2)^5*(19*b
^6 - 3*a^6 + 277*a^2*b^4 + 22*a^4*b^2))/(3*a*(a^2 - b^2)*(a^4 + b^4 - 2*a^2*b^2)) - (2*tan(c/2 + (d*x)/2)*(b^6
- 3*a^6 + 19*a^2*b^4 + 28*a^4*b^2))/(3*a*(a^2 - b^2)*(a^4 + b^4 - 2*a^2*b^2)))/(d*(a - 3*a*tan(c/2 + (d*x)/2)
^4 + 3*a*tan(c/2 + (d*x)/2)^8 - a*tan(c/2 + (d*x)/2)^12 + 8*b*tan(c/2 + (d*x)/2)^3 - 24*b*tan(c/2 + (d*x)/2)^5
+ 24*b*tan(c/2 + (d*x)/2)^7 - 8*b*tan(c/2 + (d*x)/2)^9))

4.7 Test file Number [264]

Mathematica

Integral number [190] \[ \int \frac {(c+d \arccos (e x)) (a+b \arcsin (e x))}{x} \, dx \]

[C]   time = 0.0916403 (sec), size = 167 ,normalized size = 8.35 \[ c (a+b (\arccos (e x)+\arcsin (e x))) \log (x)+(-b c+a d+b d (\arccos (e x)+\arcsin (e x))) \left (-\frac {1}{2} i \arccos (e x)^2+\arccos (e x) \log \left (1+e^{2 i \arccos (e x)}\right )-\frac {1}{2} i \operatorname {PolyLog}\left (2,-e^{2 i \arccos (e x)}\right )\right )-b d \left (-\frac {1}{3} i \arccos (e x)^3+\arccos (e x)^2 \log \left (1+e^{2 i \arccos (e x)}\right )-i \arccos (e x) \operatorname {PolyLog}\left (2,-e^{2 i \arccos (e x)}\right )+\frac {1}{2} \operatorname {PolyLog}\left (3,-e^{2 i \arccos (e x)}\right )\right ) \]

[In]

Integrate[((c + d*ArcCos[e*x])*(a + b*ArcSin[e*x]))/x,x]

[Out]

c*(a + b*(ArcCos[e*x] + ArcSin[e*x]))*Log[x] + (-(b*c) + a*d + b*d*(ArcCos[e*x] + ArcSin[e*x]))*((-1/2*I)*ArcC
os[e*x]^2 + ArcCos[e*x]*Log[1 + E^((2*I)*ArcCos[e*x])] - (I/2)*PolyLog[2, -E^((2*I)*ArcCos[e*x])]) - b*d*((-1/
3*I)*ArcCos[e*x]^3 + ArcCos[e*x]^2*Log[1 + E^((2*I)*ArcCos[e*x])] - I*ArcCos[e*x]*PolyLog[2, -E^((2*I)*ArcCos[
e*x])] + PolyLog[3, -E^((2*I)*ArcCos[e*x])]/2)

Integral number [191] \[ \int \frac {(c+d \arccos (e x)) (a+b \arcsin (e x))}{x^2} \, dx \]

[C]   time = 0.135226 (sec), size = 163 ,normalized size = 8.15 \[ \frac {-c (a+b (\arccos (e x)+\arcsin (e x)))+(b c-a d-b d (\arccos (e x)+\arcsin (e x))) \left (\arccos (e x)-e x \text {arctanh}\left (\sqrt {1-e^2 x^2}\right )\right )+b d \left (\arccos (e x)^2-2 e x \left (\arccos (e x) \left (\log \left (1-i e^{i \arccos (e x)}\right )-\log \left (1+i e^{i \arccos (e x)}\right )\right )+i \left (\operatorname {PolyLog}\left (2,-i e^{i \arccos (e x)}\right )-\operatorname {PolyLog}\left (2,i e^{i \arccos (e x)}\right )\right )\right )\right )}{x} \]

[In]

Integrate[((c + d*ArcCos[e*x])*(a + b*ArcSin[e*x]))/x^2,x]

[Out]

(-(c*(a + b*(ArcCos[e*x] + ArcSin[e*x]))) + (b*c - a*d - b*d*(ArcCos[e*x] + ArcSin[e*x]))*(ArcCos[e*x] - e*x*A
rcTanh[Sqrt[1 - e^2*x^2]]) + b*d*(ArcCos[e*x]^2 - 2*e*x*(ArcCos[e*x]*(Log[1 - I*E^(I*ArcCos[e*x])] - Log[1 + I
*E^(I*ArcCos[e*x])]) + I*(PolyLog[2, (-I)*E^(I*ArcCos[e*x])] - PolyLog[2, I*E^(I*ArcCos[e*x])]))))/x

4.8 Test file Number [280]

Mathematica

Integral number [65] \[ \int \frac {\arctan (a+b x)}{\sqrt [3]{1+a^2+2 a b x+b^2 x^2}} \, dx \]

[B]   time = 0.29231 (sec), size = 163 ,normalized size = 5.82 \[ \frac {6 \operatorname {Gamma}\left (\frac {11}{6}\right ) \operatorname {Gamma}\left (\frac {7}{3}\right ) \left (15+10 (a+b x) \arctan (a+b x)+\frac {4 (a+b x) \arctan (a+b x) \operatorname {Hypergeometric2F1}\left (1,\frac {4}{3},\frac {11}{6},\frac {1}{1+(a+b x)^2}\right )}{1+(a+b x)^2}\right )+\frac {5 \sqrt [3]{2} \sqrt {\pi } \operatorname {Gamma}\left (\frac {5}{3}\right ) \, _3F_2\left (1,\frac {4}{3},\frac {4}{3};\frac {11}{6},\frac {7}{3};\frac {1}{1+(a+b x)^2}\right )}{1+(a+b x)^2}}{20 b \sqrt [3]{1+a^2+2 a b x+b^2 x^2} \operatorname {Gamma}\left (\frac {11}{6}\right ) \operatorname {Gamma}\left (\frac {7}{3}\right )} \]

[In]

Integrate[ArcTan[a + b*x]/(1 + a^2 + 2*a*b*x + b^2*x^2)^(1/3),x]

[Out]

(6*Gamma[11/6]*Gamma[7/3]*(15 + 10*(a + b*x)*ArcTan[a + b*x] + (4*(a + b*x)*ArcTan[a + b*x]*Hypergeometric2F1[
1, 4/3, 11/6, (1 + (a + b*x)^2)^(-1)])/(1 + (a + b*x)^2)) + (5*2^(1/3)*Sqrt[Pi]*Gamma[5/3]*HypergeometricPFQ[{
1, 4/3, 4/3}, {11/6, 7/3}, (1 + (a + b*x)^2)^(-1)])/(1 + (a + b*x)^2))/(20*b*(1 + a^2 + 2*a*b*x + b^2*x^2)^(1/
3)*Gamma[11/6]*Gamma[7/3])

Integral number [66] \[ \int \frac {\arctan (a+b x)}{\sqrt [3]{\left (1+a^2\right ) c+2 a b c x+b^2 c x^2}} \, dx \]

[B]   time = 0.145754 (sec), size = 165 ,normalized size = 5. \[ \frac {6 \operatorname {Gamma}\left (\frac {11}{6}\right ) \operatorname {Gamma}\left (\frac {7}{3}\right ) \left (15+10 (a+b x) \arctan (a+b x)+\frac {4 (a+b x) \arctan (a+b x) \operatorname {Hypergeometric2F1}\left (1,\frac {4}{3},\frac {11}{6},\frac {1}{1+(a+b x)^2}\right )}{1+(a+b x)^2}\right )+\frac {5 \sqrt [3]{2} \sqrt {\pi } \operatorname {Gamma}\left (\frac {5}{3}\right ) \, _3F_2\left (1,\frac {4}{3},\frac {4}{3};\frac {11}{6},\frac {7}{3};\frac {1}{1+(a+b x)^2}\right )}{1+(a+b x)^2}}{20 b \sqrt [3]{c \left (1+a^2+2 a b x+b^2 x^2\right )} \operatorname {Gamma}\left (\frac {11}{6}\right ) \operatorname {Gamma}\left (\frac {7}{3}\right )} \]

[In]

Integrate[ArcTan[a + b*x]/((1 + a^2)*c + 2*a*b*c*x + b^2*c*x^2)^(1/3),x]

[Out]

(6*Gamma[11/6]*Gamma[7/3]*(15 + 10*(a + b*x)*ArcTan[a + b*x] + (4*(a + b*x)*ArcTan[a + b*x]*Hypergeometric2F1[
1, 4/3, 11/6, (1 + (a + b*x)^2)^(-1)])/(1 + (a + b*x)^2)) + (5*2^(1/3)*Sqrt[Pi]*Gamma[5/3]*HypergeometricPFQ[{
1, 4/3, 4/3}, {11/6, 7/3}, (1 + (a + b*x)^2)^(-1)])/(1 + (a + b*x)^2))/(20*b*(c*(1 + a^2 + 2*a*b*x + b^2*x^2))
^(1/3)*Gamma[11/6]*Gamma[7/3])

Integral number [70] \[ \int \frac {(a+b x)^2 \arctan (a+b x)}{\sqrt [3]{1+a^2+2 a b x+b^2 x^2}} \, dx \]

[B]   time = 4.38448 (sec), size = 181 ,normalized size = 5.17 \[ -\frac {3 \left (1+(a+b x)^2\right )^{2/3} \left (\frac {5 \sqrt [3]{2} \sqrt {\pi } \operatorname {Gamma}\left (\frac {5}{3}\right ) \, _3F_2\left (1,\frac {4}{3},\frac {4}{3};\frac {11}{6},\frac {7}{3};\frac {1}{1+(a+b x)^2}\right )}{\left (1+(a+b x)^2\right )^2}+\operatorname {Gamma}\left (\frac {11}{6}\right ) \operatorname {Gamma}\left (\frac {7}{3}\right ) \left (15+\frac {90}{1+(a+b x)^2}+\frac {24 (a+b x) \arctan (a+b x) \operatorname {Hypergeometric2F1}\left (1,\frac {4}{3},\frac {11}{6},\frac {1}{1+(a+b x)^2}\right )}{\left (1+(a+b x)^2\right )^2}+5 \arctan (a+b x) (-4 (a+b x)+6 \sin (2 \arctan (a+b x)))\right )\right )}{140 b \operatorname {Gamma}\left (\frac {11}{6}\right ) \operatorname {Gamma}\left (\frac {7}{3}\right )} \]

[In]

Integrate[((a + b*x)^2*ArcTan[a + b*x])/(1 + a^2 + 2*a*b*x + b^2*x^2)^(1/3),x]

[Out]

(-3*(1 + (a + b*x)^2)^(2/3)*((5*2^(1/3)*Sqrt[Pi]*Gamma[5/3]*HypergeometricPFQ[{1, 4/3, 4/3}, {11/6, 7/3}, (1 +
(a + b*x)^2)^(-1)])/(1 + (a + b*x)^2)^2 + Gamma[11/6]*Gamma[7/3]*(15 + 90/(1 + (a + b*x)^2) + (24*(a + b*x)*A
rcTan[a + b*x]*Hypergeometric2F1[1, 4/3, 11/6, (1 + (a + b*x)^2)^(-1)])/(1 + (a + b*x)^2)^2 + 5*ArcTan[a + b*x
]*(-4*(a + b*x) + 6*Sin[2*ArcTan[a + b*x]]))))/(140*b*Gamma[11/6]*Gamma[7/3])

Integral number [71] \[ \int \frac {(a+b x)^2 \arctan (a+b x)}{\sqrt [3]{\left (1+a^2\right ) c+2 a b c x+b^2 c x^2}} \, dx \]

[B]   time = 0.693246 (sec), size = 225 ,normalized size = 5.62 \[ -\frac {3 \sqrt [3]{1+a^2+2 a b x+b^2 x^2} \left (1+(a+b x)^2\right )^{2/3} \left (\frac {5 \sqrt [3]{2} \sqrt {\pi } \operatorname {Gamma}\left (\frac {5}{3}\right ) \, _3F_2\left (1,\frac {4}{3},\frac {4}{3};\frac {11}{6},\frac {7}{3};\frac {1}{1+(a+b x)^2}\right )}{\left (1+(a+b x)^2\right )^2}+\operatorname {Gamma}\left (\frac {11}{6}\right ) \operatorname {Gamma}\left (\frac {7}{3}\right ) \left (15+\frac {90}{1+(a+b x)^2}+\frac {24 (a+b x) \arctan (a+b x) \operatorname {Hypergeometric2F1}\left (1,\frac {4}{3},\frac {11}{6},\frac {1}{1+(a+b x)^2}\right )}{\left (1+(a+b x)^2\right )^2}+5 \arctan (a+b x) (-4 (a+b x)+6 \sin (2 \arctan (a+b x)))\right )\right )}{140 b \sqrt [3]{c \left (1+a^2+2 a b x+b^2 x^2\right )} \operatorname {Gamma}\left (\frac {11}{6}\right ) \operatorname {Gamma}\left (\frac {7}{3}\right )} \]

[In]

Integrate[((a + b*x)^2*ArcTan[a + b*x])/((1 + a^2)*c + 2*a*b*c*x + b^2*c*x^2)^(1/3),x]

[Out]

(-3*(1 + a^2 + 2*a*b*x + b^2*x^2)^(1/3)*(1 + (a + b*x)^2)^(2/3)*((5*2^(1/3)*Sqrt[Pi]*Gamma[5/3]*Hypergeometric
PFQ[{1, 4/3, 4/3}, {11/6, 7/3}, (1 + (a + b*x)^2)^(-1)])/(1 + (a + b*x)^2)^2 + Gamma[11/6]*Gamma[7/3]*(15 + 90
/(1 + (a + b*x)^2) + (24*(a + b*x)*ArcTan[a + b*x]*Hypergeometric2F1[1, 4/3, 11/6, (1 + (a + b*x)^2)^(-1)])/(1
+ (a + b*x)^2)^2 + 5*ArcTan[a + b*x]*(-4*(a + b*x) + 6*Sin[2*ArcTan[a + b*x]]))))/(140*b*(c*(1 + a^2 + 2*a*b*
x + b^2*x^2))^(1/3)*Gamma[11/6]*Gamma[7/3])

4.9 Test file Number [285]

Mathematica

Integral number [47] \[ \int \frac {\cot ^{-1}(a+b x)}{\sqrt [3]{1+a^2+2 a b x+b^2 x^2}} \, dx \]

[B]   time = 0.275134 (sec), size = 177 ,normalized size = 6.32 \[ \frac {6 \operatorname {Gamma}\left (\frac {11}{6}\right ) \operatorname {Gamma}\left (\frac {7}{3}\right ) \left (5 \left (1+a^2+2 a b x+b^2 x^2\right ) \left (-3+2 (a+b x) \cot ^{-1}(a+b x)\right )+4 (a+b x) \cot ^{-1}(a+b x) \operatorname {Hypergeometric2F1}\left (1,\frac {4}{3},\frac {11}{6},\frac {1}{1+a^2+2 a b x+b^2 x^2}\right )\right )-5 \sqrt [3]{2} \sqrt {\pi } \operatorname {Gamma}\left (\frac {5}{3}\right ) \, _3F_2\left (1,\frac {4}{3},\frac {4}{3};\frac {11}{6},\frac {7}{3};\frac {1}{1+a^2+2 a b x+b^2 x^2}\right )}{20 b \left (1+a^2+2 a b x+b^2 x^2\right )^{4/3} \operatorname {Gamma}\left (\frac {11}{6}\right ) \operatorname {Gamma}\left (\frac {7}{3}\right )} \]

[In]

Integrate[ArcCot[a + b*x]/(1 + a^2 + 2*a*b*x + b^2*x^2)^(1/3),x]

[Out]

(6*Gamma[11/6]*Gamma[7/3]*(5*(1 + a^2 + 2*a*b*x + b^2*x^2)*(-3 + 2*(a + b*x)*ArcCot[a + b*x]) + 4*(a + b*x)*Ar
cCot[a + b*x]*Hypergeometric2F1[1, 4/3, 11/6, (1 + a^2 + 2*a*b*x + b^2*x^2)^(-1)]) - 5*2^(1/3)*Sqrt[Pi]*Gamma[
5/3]*HypergeometricPFQ[{1, 4/3, 4/3}, {11/6, 7/3}, (1 + a^2 + 2*a*b*x + b^2*x^2)^(-1)])/(20*b*(1 + a^2 + 2*a*b
*x + b^2*x^2)^(4/3)*Gamma[11/6]*Gamma[7/3])

Integral number [48] \[ \int \frac {\cot ^{-1}(a+b x)}{\sqrt [3]{\left (1+a^2\right ) c+2 a b c x+b^2 c x^2}} \, dx \]

[B]   time = 0.13903 (sec), size = 180 ,normalized size = 5.45 \[ \frac {c \left (6 \operatorname {Gamma}\left (\frac {11}{6}\right ) \operatorname {Gamma}\left (\frac {7}{3}\right ) \left (5 \left (1+a^2+2 a b x+b^2 x^2\right ) \left (-3+2 (a+b x) \cot ^{-1}(a+b x)\right )+4 (a+b x) \cot ^{-1}(a+b x) \operatorname {Hypergeometric2F1}\left (1,\frac {4}{3},\frac {11}{6},\frac {1}{1+a^2+2 a b x+b^2 x^2}\right )\right )-5 \sqrt [3]{2} \sqrt {\pi } \operatorname {Gamma}\left (\frac {5}{3}\right ) \, _3F_2\left (1,\frac {4}{3},\frac {4}{3};\frac {11}{6},\frac {7}{3};\frac {1}{1+a^2+2 a b x+b^2 x^2}\right )\right )}{20 b \left (c \left (1+a^2+2 a b x+b^2 x^2\right )\right )^{4/3} \operatorname {Gamma}\left (\frac {11}{6}\right ) \operatorname {Gamma}\left (\frac {7}{3}\right )} \]

[In]

Integrate[ArcCot[a + b*x]/((1 + a^2)*c + 2*a*b*c*x + b^2*c*x^2)^(1/3),x]

[Out]

(c*(6*Gamma[11/6]*Gamma[7/3]*(5*(1 + a^2 + 2*a*b*x + b^2*x^2)*(-3 + 2*(a + b*x)*ArcCot[a + b*x]) + 4*(a + b*x)
*ArcCot[a + b*x]*Hypergeometric2F1[1, 4/3, 11/6, (1 + a^2 + 2*a*b*x + b^2*x^2)^(-1)]) - 5*2^(1/3)*Sqrt[Pi]*Gam
ma[5/3]*HypergeometricPFQ[{1, 4/3, 4/3}, {11/6, 7/3}, (1 + a^2 + 2*a*b*x + b^2*x^2)^(-1)]))/(20*b*(c*(1 + a^2
+ 2*a*b*x + b^2*x^2))^(4/3)*Gamma[11/6]*Gamma[7/3])

Integral number [52] \[ \int \frac {(a+b x)^2 \cot ^{-1}(a+b x)}{\sqrt [3]{1+a^2+2 a b x+b^2 x^2}} \, dx \]

[B]   time = 0.684444 (sec), size = 198 ,normalized size = 5.66 \[ \frac {3 \left (\operatorname {Gamma}\left (\frac {11}{6}\right ) \operatorname {Gamma}\left (\frac {7}{3}\right ) \left (5 \left (1+(a+b x)^2\right ) \left (3 \left (7+(a+b x)^2\right )+4 (a+b x) \left (-2+(a+b x)^2\right ) \cot ^{-1}(a+b x)\right )-24 (a+b x) \cot ^{-1}(a+b x) \operatorname {Hypergeometric2F1}\left (1,\frac {4}{3},\frac {11}{6},\frac {1}{1+a^2+2 a b x+b^2 x^2}\right )\right )+5 \sqrt [3]{2} \sqrt {\pi } \operatorname {Gamma}\left (\frac {5}{3}\right ) \, _3F_2\left (1,\frac {4}{3},\frac {4}{3};\frac {11}{6},\frac {7}{3};\frac {1}{1+a^2+2 a b x+b^2 x^2}\right )\right )}{140 b \sqrt [3]{1+a^2+2 a b x+b^2 x^2} \left (1+(a+b x)^2\right ) \operatorname {Gamma}\left (\frac {11}{6}\right ) \operatorname {Gamma}\left (\frac {7}{3}\right )} \]

[In]

Integrate[((a + b*x)^2*ArcCot[a + b*x])/(1 + a^2 + 2*a*b*x + b^2*x^2)^(1/3),x]

[Out]

(3*(Gamma[11/6]*Gamma[7/3]*(5*(1 + (a + b*x)^2)*(3*(7 + (a + b*x)^2) + 4*(a + b*x)*(-2 + (a + b*x)^2)*ArcCot[a
+ b*x]) - 24*(a + b*x)*ArcCot[a + b*x]*Hypergeometric2F1[1, 4/3, 11/6, (1 + a^2 + 2*a*b*x + b^2*x^2)^(-1)]) +
5*2^(1/3)*Sqrt[Pi]*Gamma[5/3]*HypergeometricPFQ[{1, 4/3, 4/3}, {11/6, 7/3}, (1 + a^2 + 2*a*b*x + b^2*x^2)^(-1
)]))/(140*b*(1 + a^2 + 2*a*b*x + b^2*x^2)^(1/3)*(1 + (a + b*x)^2)*Gamma[11/6]*Gamma[7/3])

Integral number [53] \[ \int \frac {(a+b x)^2 \cot ^{-1}(a+b x)}{\sqrt [3]{\left (1+a^2\right ) c+2 a b c x+b^2 c x^2}} \, dx \]

[B]   time = 0.28366 (sec), size = 200 ,normalized size = 5. \[ \frac {3 \left (\operatorname {Gamma}\left (\frac {11}{6}\right ) \operatorname {Gamma}\left (\frac {7}{3}\right ) \left (5 \left (1+(a+b x)^2\right ) \left (3 \left (7+(a+b x)^2\right )+4 (a+b x) \left (-2+(a+b x)^2\right ) \cot ^{-1}(a+b x)\right )-24 (a+b x) \cot ^{-1}(a+b x) \operatorname {Hypergeometric2F1}\left (1,\frac {4}{3},\frac {11}{6},\frac {1}{1+a^2+2 a b x+b^2 x^2}\right )\right )+5 \sqrt [3]{2} \sqrt {\pi } \operatorname {Gamma}\left (\frac {5}{3}\right ) \, _3F_2\left (1,\frac {4}{3},\frac {4}{3};\frac {11}{6},\frac {7}{3};\frac {1}{1+a^2+2 a b x+b^2 x^2}\right )\right )}{140 b \sqrt [3]{c \left (1+a^2+2 a b x+b^2 x^2\right )} \left (1+(a+b x)^2\right ) \operatorname {Gamma}\left (\frac {11}{6}\right ) \operatorname {Gamma}\left (\frac {7}{3}\right )} \]

[In]

Integrate[((a + b*x)^2*ArcCot[a + b*x])/((1 + a^2)*c + 2*a*b*c*x + b^2*c*x^2)^(1/3),x]

[Out]

(3*(Gamma[11/6]*Gamma[7/3]*(5*(1 + (a + b*x)^2)*(3*(7 + (a + b*x)^2) + 4*(a + b*x)*(-2 + (a + b*x)^2)*ArcCot[a
+ b*x]) - 24*(a + b*x)*ArcCot[a + b*x]*Hypergeometric2F1[1, 4/3, 11/6, (1 + a^2 + 2*a*b*x + b^2*x^2)^(-1)]) +
5*2^(1/3)*Sqrt[Pi]*Gamma[5/3]*HypergeometricPFQ[{1, 4/3, 4/3}, {11/6, 7/3}, (1 + a^2 + 2*a*b*x + b^2*x^2)^(-1
)]))/(140*b*(c*(1 + a^2 + 2*a*b*x + b^2*x^2))^(1/3)*(1 + (a + b*x)^2)*Gamma[11/6]*Gamma[7/3])

4.10 Test file Number [308]

Mathematica

Integral number [74] \[ \int \frac {\sinh ^3(c+d x)}{a+b \tanh ^3(c+d x)} \, dx \]

[B]   time = 0.655317 (sec), size = 826 ,normalized size = 35.91 \[ \frac {-9 a \left (a^2+3 b^2\right ) \cosh (c+d x)+a^3 \cosh (3 (c+d x))-a b^2 \cosh (3 (c+d x))-2 a b \text {RootSum}\left [a-b+3 a \text {$\#$1}^2+3 b \text {$\#$1}^2+3 a \text {$\#$1}^4-3 b \text {$\#$1}^4+a \text {$\#$1}^6+b \text {$\#$1}^6\& ,\frac {3 a^2 c+3 a b c+3 b^2 c+3 a^2 d x+3 a b d x+3 b^2 d x+6 a^2 \log \left (-\cosh \left (\frac {1}{2} (c+d x)\right )-\sinh \left (\frac {1}{2} (c+d x)\right )+\cosh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}-\sinh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}\right )+6 a b \log \left (-\cosh \left (\frac {1}{2} (c+d x)\right )-\sinh \left (\frac {1}{2} (c+d x)\right )+\cosh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}-\sinh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}\right )+6 b^2 \log \left (-\cosh \left (\frac {1}{2} (c+d x)\right )-\sinh \left (\frac {1}{2} (c+d x)\right )+\cosh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}-\sinh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}\right )+2 a^2 c \text {$\#$1}^2-2 b^2 c \text {$\#$1}^2+2 a^2 d x \text {$\#$1}^2-2 b^2 d x \text {$\#$1}^2+4 a^2 \log \left (-\cosh \left (\frac {1}{2} (c+d x)\right )-\sinh \left (\frac {1}{2} (c+d x)\right )+\cosh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}-\sinh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}\right ) \text {$\#$1}^2-4 b^2 \log \left (-\cosh \left (\frac {1}{2} (c+d x)\right )-\sinh \left (\frac {1}{2} (c+d x)\right )+\cosh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}-\sinh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}\right ) \text {$\#$1}^2+3 a^2 c \text {$\#$1}^4-3 a b c \text {$\#$1}^4+3 b^2 c \text {$\#$1}^4+3 a^2 d x \text {$\#$1}^4-3 a b d x \text {$\#$1}^4+3 b^2 d x \text {$\#$1}^4+6 a^2 \log \left (-\cosh \left (\frac {1}{2} (c+d x)\right )-\sinh \left (\frac {1}{2} (c+d x)\right )+\cosh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}-\sinh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}\right ) \text {$\#$1}^4-6 a b \log \left (-\cosh \left (\frac {1}{2} (c+d x)\right )-\sinh \left (\frac {1}{2} (c+d x)\right )+\cosh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}-\sinh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}\right ) \text {$\#$1}^4+6 b^2 \log \left (-\cosh \left (\frac {1}{2} (c+d x)\right )-\sinh \left (\frac {1}{2} (c+d x)\right )+\cosh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}-\sinh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}\right ) \text {$\#$1}^4}{a \text {$\#$1}+b \text {$\#$1}+2 a \text {$\#$1}^3-2 b \text {$\#$1}^3+a \text {$\#$1}^5+b \text {$\#$1}^5}\& \right ]+27 a^2 b \sinh (c+d x)+9 b^3 \sinh (c+d x)-a^2 b \sinh (3 (c+d x))+b^3 \sinh (3 (c+d x))}{12 (a-b)^2 (a+b)^2 d} \]

[In]

Integrate[Sinh[c + d*x]^3/(a + b*Tanh[c + d*x]^3),x]

[Out]

(-9*a*(a^2 + 3*b^2)*Cosh[c + d*x] + a^3*Cosh[3*(c + d*x)] - a*b^2*Cosh[3*(c + d*x)] - 2*a*b*RootSum[a - b + 3*
a*#1^2 + 3*b*#1^2 + 3*a*#1^4 - 3*b*#1^4 + a*#1^6 + b*#1^6 & , (3*a^2*c + 3*a*b*c + 3*b^2*c + 3*a^2*d*x + 3*a*b
*d*x + 3*b^2*d*x + 6*a^2*Log[-Cosh[(c + d*x)/2] - Sinh[(c + d*x)/2] + Cosh[(c + d*x)/2]*#1 - Sinh[(c + d*x)/2]
*#1] + 6*a*b*Log[-Cosh[(c + d*x)/2] - Sinh[(c + d*x)/2] + Cosh[(c + d*x)/2]*#1 - Sinh[(c + d*x)/2]*#1] + 6*b^2
*Log[-Cosh[(c + d*x)/2] - Sinh[(c + d*x)/2] + Cosh[(c + d*x)/2]*#1 - Sinh[(c + d*x)/2]*#1] + 2*a^2*c*#1^2 - 2*
b^2*c*#1^2 + 2*a^2*d*x*#1^2 - 2*b^2*d*x*#1^2 + 4*a^2*Log[-Cosh[(c + d*x)/2] - Sinh[(c + d*x)/2] + Cosh[(c + d*
x)/2]*#1 - Sinh[(c + d*x)/2]*#1]*#1^2 - 4*b^2*Log[-Cosh[(c + d*x)/2] - Sinh[(c + d*x)/2] + Cosh[(c + d*x)/2]*#
1 - Sinh[(c + d*x)/2]*#1]*#1^2 + 3*a^2*c*#1^4 - 3*a*b*c*#1^4 + 3*b^2*c*#1^4 + 3*a^2*d*x*#1^4 - 3*a*b*d*x*#1^4
+ 3*b^2*d*x*#1^4 + 6*a^2*Log[-Cosh[(c + d*x)/2] - Sinh[(c + d*x)/2] + Cosh[(c + d*x)/2]*#1 - Sinh[(c + d*x)/2]
*#1]*#1^4 - 6*a*b*Log[-Cosh[(c + d*x)/2] - Sinh[(c + d*x)/2] + Cosh[(c + d*x)/2]*#1 - Sinh[(c + d*x)/2]*#1]*#1
^4 + 6*b^2*Log[-Cosh[(c + d*x)/2] - Sinh[(c + d*x)/2] + Cosh[(c + d*x)/2]*#1 - Sinh[(c + d*x)/2]*#1]*#1^4)/(a*
#1 + b*#1 + 2*a*#1^3 - 2*b*#1^3 + a*#1^5 + b*#1^5) & ] + 27*a^2*b*Sinh[c + d*x] + 9*b^3*Sinh[c + d*x] - a^2*b*
Sinh[3*(c + d*x)] + b^3*Sinh[3*(c + d*x)])/(12*(a - b)^2*(a + b)^2*d)

Integral number [76] \[ \int \frac {\sinh (c+d x)}{a+b \tanh ^3(c+d x)} \, dx \]

[B]   time = 0.431925 (sec), size = 409 ,normalized size = 19.48 \[ \frac {6 a \cosh (c+d x)+b \text {RootSum}\left [a-b+3 a \text {$\#$1}^2+3 b \text {$\#$1}^2+3 a \text {$\#$1}^4-3 b \text {$\#$1}^4+a \text {$\#$1}^6+b \text {$\#$1}^6\& ,\frac {2 a c+b c+2 a d x+b d x+4 a \log \left (-\cosh \left (\frac {1}{2} (c+d x)\right )-\sinh \left (\frac {1}{2} (c+d x)\right )+\cosh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}-\sinh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}\right )+2 b \log \left (-\cosh \left (\frac {1}{2} (c+d x)\right )-\sinh \left (\frac {1}{2} (c+d x)\right )+\cosh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}-\sinh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}\right )+2 a c \text {$\#$1}^4-b c \text {$\#$1}^4+2 a d x \text {$\#$1}^4-b d x \text {$\#$1}^4+4 a \log \left (-\cosh \left (\frac {1}{2} (c+d x)\right )-\sinh \left (\frac {1}{2} (c+d x)\right )+\cosh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}-\sinh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}\right ) \text {$\#$1}^4-2 b \log \left (-\cosh \left (\frac {1}{2} (c+d x)\right )-\sinh \left (\frac {1}{2} (c+d x)\right )+\cosh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}-\sinh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}\right ) \text {$\#$1}^4}{a \text {$\#$1}+b \text {$\#$1}+2 a \text {$\#$1}^3-2 b \text {$\#$1}^3+a \text {$\#$1}^5+b \text {$\#$1}^5}\& \right ]-6 b \sinh (c+d x)}{6 (a-b) (a+b) d} \]

[In]

Integrate[Sinh[c + d*x]/(a + b*Tanh[c + d*x]^3),x]

[Out]

(6*a*Cosh[c + d*x] + b*RootSum[a - b + 3*a*#1^2 + 3*b*#1^2 + 3*a*#1^4 - 3*b*#1^4 + a*#1^6 + b*#1^6 & , (2*a*c
+ b*c + 2*a*d*x + b*d*x + 4*a*Log[-Cosh[(c + d*x)/2] - Sinh[(c + d*x)/2] + Cosh[(c + d*x)/2]*#1 - Sinh[(c + d*
x)/2]*#1] + 2*b*Log[-Cosh[(c + d*x)/2] - Sinh[(c + d*x)/2] + Cosh[(c + d*x)/2]*#1 - Sinh[(c + d*x)/2]*#1] + 2*
a*c*#1^4 - b*c*#1^4 + 2*a*d*x*#1^4 - b*d*x*#1^4 + 4*a*Log[-Cosh[(c + d*x)/2] - Sinh[(c + d*x)/2] + Cosh[(c + d
*x)/2]*#1 - Sinh[(c + d*x)/2]*#1]*#1^4 - 2*b*Log[-Cosh[(c + d*x)/2] - Sinh[(c + d*x)/2] + Cosh[(c + d*x)/2]*#1
- Sinh[(c + d*x)/2]*#1]*#1^4)/(a*#1 + b*#1 + 2*a*#1^3 - 2*b*#1^3 + a*#1^5 + b*#1^5) & ] - 6*b*Sinh[c + d*x])/
(6*(a - b)*(a + b)*d)

Integral number [77] \[ \int \frac {\text {csch}(c+d x)}{a+b \tanh ^3(c+d x)} \, dx \]

[B]   time = 0.374288 (sec), size = 331 ,normalized size = 15.76 \[ -\frac {6 \log \left (\cosh \left (\frac {1}{2} (c+d x)\right )\right )-6 \log \left (\sinh \left (\frac {1}{2} (c+d x)\right )\right )+b \text {RootSum}\left [a-b+3 a \text {$\#$1}^2+3 b \text {$\#$1}^2+3 a \text {$\#$1}^4-3 b \text {$\#$1}^4+a \text {$\#$1}^6+b \text {$\#$1}^6\& ,\frac {c+d x+2 \log \left (-\cosh \left (\frac {1}{2} (c+d x)\right )-\sinh \left (\frac {1}{2} (c+d x)\right )+\cosh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}-\sinh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}\right )-2 c \text {$\#$1}^2-2 d x \text {$\#$1}^2-4 \log \left (-\cosh \left (\frac {1}{2} (c+d x)\right )-\sinh \left (\frac {1}{2} (c+d x)\right )+\cosh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}-\sinh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}\right ) \text {$\#$1}^2+c \text {$\#$1}^4+d x \text {$\#$1}^4+2 \log \left (-\cosh \left (\frac {1}{2} (c+d x)\right )-\sinh \left (\frac {1}{2} (c+d x)\right )+\cosh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}-\sinh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}\right ) \text {$\#$1}^4}{a \text {$\#$1}+b \text {$\#$1}+2 a \text {$\#$1}^3-2 b \text {$\#$1}^3+a \text {$\#$1}^5+b \text {$\#$1}^5}\& \right ]}{6 a d} \]

[In]

Integrate[Csch[c + d*x]/(a + b*Tanh[c + d*x]^3),x]

[Out]

-1/6*(6*Log[Cosh[(c + d*x)/2]] - 6*Log[Sinh[(c + d*x)/2]] + b*RootSum[a - b + 3*a*#1^2 + 3*b*#1^2 + 3*a*#1^4 -
3*b*#1^4 + a*#1^6 + b*#1^6 & , (c + d*x + 2*Log[-Cosh[(c + d*x)/2] - Sinh[(c + d*x)/2] + Cosh[(c + d*x)/2]*#1
- Sinh[(c + d*x)/2]*#1] - 2*c*#1^2 - 2*d*x*#1^2 - 4*Log[-Cosh[(c + d*x)/2] - Sinh[(c + d*x)/2] + Cosh[(c + d*
x)/2]*#1 - Sinh[(c + d*x)/2]*#1]*#1^2 + c*#1^4 + d*x*#1^4 + 2*Log[-Cosh[(c + d*x)/2] - Sinh[(c + d*x)/2] + Cos
h[(c + d*x)/2]*#1 - Sinh[(c + d*x)/2]*#1]*#1^4)/(a*#1 + b*#1 + 2*a*#1^3 - 2*b*#1^3 + a*#1^5 + b*#1^5) & ])/(a*
d)

Integral number [79] \[ \int \frac {\text {csch}^3(c+d x)}{a+b \tanh ^3(c+d x)} \, dx \]

[B]   time = 0.540852 (sec), size = 214 ,normalized size = 9.3 \[ -\frac {16 b \text {RootSum}\left [a-b+3 a \text {$\#$1}^2+3 b \text {$\#$1}^2+3 a \text {$\#$1}^4-3 b \text {$\#$1}^4+a \text {$\#$1}^6+b \text {$\#$1}^6\& ,\frac {c \text {$\#$1}+d x \text {$\#$1}+2 \log \left (-\cosh \left (\frac {1}{2} (c+d x)\right )-\sinh \left (\frac {1}{2} (c+d x)\right )+\cosh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}-\sinh \left (\frac {1}{2} (c+d x)\right ) \text {$\#$1}\right ) \text {$\#$1}}{a+b+2 a \text {$\#$1}^2-2 b \text {$\#$1}^2+a \text {$\#$1}^4+b \text {$\#$1}^4}\& \right ]+3 \left (\text {csch}^2\left (\frac {1}{2} (c+d x)\right )-4 \log \left (\cosh \left (\frac {1}{2} (c+d x)\right )\right )+4 \log \left (\sinh \left (\frac {1}{2} (c+d x)\right )\right )+\text {sech}^2\left (\frac {1}{2} (c+d x)\right )\right )}{24 a d} \]

[In]

Integrate[Csch[c + d*x]^3/(a + b*Tanh[c + d*x]^3),x]

[Out]

-1/24*(16*b*RootSum[a - b + 3*a*#1^2 + 3*b*#1^2 + 3*a*#1^4 - 3*b*#1^4 + a*#1^6 + b*#1^6 & , (c*#1 + d*x*#1 + 2
*Log[-Cosh[(c + d*x)/2] - Sinh[(c + d*x)/2] + Cosh[(c + d*x)/2]*#1 - Sinh[(c + d*x)/2]*#1]*#1)/(a + b + 2*a*#1
^2 - 2*b*#1^2 + a*#1^4 + b*#1^4) & ] + 3*(Csch[(c + d*x)/2]^2 - 4*Log[Cosh[(c + d*x)/2]] + 4*Log[Sinh[(c + d*x
)/2]] + Sech[(c + d*x)/2]^2))/(a*d)

Fricas

Integral number [74] \[ \int \frac {\sinh ^3(c+d x)}{a+b \tanh ^3(c+d x)} \, dx \]

[C]   time = 4.19478 (sec), size = 62017 ,normalized size = 2696.39 \[ \text {Too large to display} \]

[In]

integrate(sinh(d*x+c)^3/(a+b*tanh(d*x+c)^3),x, algorithm=""fricas"")

[Out]

1/24*((a^3 - a^2*b - a*b^2 + b^3)*cosh(d*x + c)^6 + 6*(a^3 - a^2*b - a*b^2 + b^3)*cosh(d*x + c)*sinh(d*x + c)^
5 + (a^3 - a^2*b - a*b^2 + b^3)*sinh(d*x + c)^6 - 9*(a^3 - 3*a^2*b + 3*a*b^2 - b^3)*cosh(d*x + c)^4 - 3*(3*a^3
- 9*a^2*b + 9*a*b^2 - 3*b^3 - 5*(a^3 - a^2*b - a*b^2 + b^3)*cosh(d*x + c)^2)*sinh(d*x + c)^4 + 4*(5*(a^3 - a^
2*b - a*b^2 + b^3)*cosh(d*x + c)^3 - 9*(a^3 - 3*a^2*b + 3*a*b^2 - b^3)*cosh(d*x + c))*sinh(d*x + c)^3 - 4*sqrt
(2/3)*sqrt(1/6)*((a^4 - 2*a^2*b^2 + b^4)*d*cosh(d*x + c)^3 + 3*(a^4 - 2*a^2*b^2 + b^4)*d*cosh(d*x + c)^2*sinh(
d*x + c) + 3*(a^4 - 2*a^2*b^2 + b^4)*d*cosh(d*x + c)*sinh(d*x + c)^2 + (a^4 - 2*a^2*b^2 + b^4)*d*sinh(d*x + c)
^3)*sqrt(-(810*a^6*b^2 + 2754*a^4*b^4 + 810*a^2*b^6 - (a^10 - 5*a^8*b^2 + 10*a^6*b^4 - 10*a^4*b^6 + 5*a^2*b^8
- b^10)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^
4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2
)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^
6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2
- 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d
^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2
+ 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^
2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^
6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*
d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4
*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*
d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 3
0*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6
)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))*d^2 + 3*sqrt(1/3)*(
a^10 - 5*a^8*b^2 + 10*a^6*b^4 - 10*a^4*b^6 + 5*a^2*b^8 - b^10)*d^2*sqrt((6480*a^14*b^2 + 179820*a^12*b^4 + 158
4360*a^10*b^6 + 2835972*a^8*b^8 + 1584360*a^6*b^10 + 179820*a^4*b^12 + 6480*a^2*b^14 - (a^20 - 10*a^18*b^2 + 4
5*a^16*b^4 - 120*a^14*b^6 + 210*a^12*b^8 - 252*a^10*b^10 + 210*a^8*b^12 - 120*a^6*b^14 + 45*a^4*b^16 - 10*a^2*
b^18 + b^20)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 +
17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d
^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b
^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^
4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 +
b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^
6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^1
0)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a
^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8
*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^
4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6
*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^
6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^
2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))^2*d^4 + 108*(5
*a^16*b^2 - 8*a^14*b^4 - 30*a^12*b^6 + 95*a^10*b^8 - 95*a^8*b^10 + 30*a^6*b^12 + 8*a^4*b^14 - 5*a^2*b^16)*((5*
a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^
2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3
) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6
) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^
6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*
(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8
*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2
- b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^
2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6
*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4
+ b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4
*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 +
b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2
- 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))*d^2)/((a^20 - 10*a^18*b^2 + 45*
a^16*b^4 - 120*a^14*b^6 + 210*a^12*b^8 - 252*a^10*b^10 + 210*a^8*b^12 - 120*a^6*b^14 + 45*a^4*b^16 - 10*a^2*b^
18 + b^20)*d^4)))/((a^10 - 5*a^8*b^2 + 10*a^6*b^4 - 10*a^4*b^6 + 5*a^2*b^8 - b^10)*d^2))*log(1/324*sqrt(2/3)*s
qrt(1/6)*((7*a^17 + 11*a^16*b + 70*a^15*b^2 + 65*a^14*b^3 - 335*a^13*b^4 - 385*a^12*b^5 + 391*a^11*b^6 + 572*a
^10*b^7 + 130*a^9*b^8 - 130*a^8*b^9 - 572*a^7*b^10 - 391*a^6*b^11 + 385*a^5*b^12 + 335*a^4*b^13 - 65*a^3*b^14
- 70*a^2*b^15 - 11*a*b^16 - 7*b^17)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8
*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 +
5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 1
0*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*
a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4
*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*
a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4
*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6
+ 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2
*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6
*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 -
5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 7
00*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*
b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^
10*d^2))^2*d^5 - 18*(a^15 + 2*a^14*b + 320*a^13*b^2 + 475*a^12*b^3 + 5754*a^11*b^4 + 7152*a^10*b^5 + 21880*a^9
*b^6 + 23465*a^8*b^7 + 23465*a^7*b^8 + 21880*a^6*b^9 + 7152*a^5*b^10 + 5754*a^4*b^11 + 475*a^3*b^12 + 320*a^2*
b^13 + 2*a*b^14 + b^15)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5
*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d
^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^
6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2
+ 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2
*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2
- 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^
2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4
*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*
d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6
*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d
^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 -
700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4
*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))*d^3
- 324*(2*a^12*b + 53*a^11*b^2 + 20*a^10*b^3 + 839*a^9*b^4 - 262*a^8*b^5 + 1055*a^7*b^6 - 1055*a^6*b^7 + 262*a
^5*b^8 - 839*a^4*b^9 - 20*a^3*b^10 - 53*a^2*b^11 - 2*a*b^12)*d + 3*sqrt(1/3)*((7*a^17 + 11*a^16*b + 70*a^15*b^
2 + 65*a^14*b^3 - 335*a^13*b^4 - 385*a^12*b^5 + 391*a^11*b^6 + 572*a^10*b^7 + 130*a^9*b^8 - 130*a^8*b^9 - 572*
a^7*b^10 - 391*a^6*b^11 + 385*a^5*b^12 + 335*a^4*b^13 - 65*a^3*b^14 - 70*a^2*b^15 - 11*a*b^16 - 7*b^17)*((5*a^
2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*
b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3)
+ 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6)
- 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*
d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5
*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d
^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 -
b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*
b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b
^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 +
b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b
^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^
10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 -
5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))*d^5 + 18*(a^15 + 2*a^14*b + 5*a^1
3*b^2 - 20*a^12*b^3 - 42*a^11*b^4 + 69*a^10*b^5 + 100*a^9*b^6 - 115*a^8*b^7 - 115*a^7*b^8 + 100*a^6*b^9 + 69*a
^5*b^10 - 42*a^4*b^11 - 20*a^3*b^12 + 5*a^2*b^13 + 2*a*b^14 + b^15)*d^3)*sqrt((6480*a^14*b^2 + 179820*a^12*b^4
+ 1584360*a^10*b^6 + 2835972*a^8*b^8 + 1584360*a^6*b^10 + 179820*a^4*b^12 + 6480*a^2*b^14 - (a^20 - 10*a^18*b
^2 + 45*a^16*b^4 - 120*a^14*b^6 + 210*a^12*b^8 - 252*a^10*b^10 + 210*a^8*b^12 - 120*a^6*b^14 + 45*a^4*b^16 - 1
0*a^2*b^18 + b^20)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*
b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 -
b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5
*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*
a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*
d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*
a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8
+ b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6
- 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 -
5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*
b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 +
10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*
a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4
+ 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))^2*d^4 +
108*(5*a^16*b^2 - 8*a^14*b^4 - 30*a^12*b^6 + 95*a^10*b^8 - 95*a^8*b^10 + 30*a^6*b^12 + 8*a^4*b^14 - 5*a^2*b^16
)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4
+ 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*
sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^
10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*
a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) -
1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a
^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/
((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6
+ 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 +
10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b
^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 -
10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*
b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^1
0*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))*d^2)/((a^20 - 10*a^18*b^2
+ 45*a^16*b^4 - 120*a^14*b^6 + 210*a^12*b^8 - 252*a^10*b^10 + 210*a^8*b^12 - 120*a^6*b^14 + 45*a^4*b^16 - 10*
a^2*b^18 + b^20)*d^4)))*sqrt(-(810*a^6*b^2 + 2754*a^4*b^4 + 810*a^2*b^6 - (a^10 - 5*a^8*b^2 + 10*a^6*b^4 - 10*
a^4*b^6 + 5*a^2*b^8 - b^10)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) +
9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b
^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^
6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*
d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4
*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*
d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 3
0*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6
*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a
^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4
+ 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b
^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b
^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17
*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))
*d^2 + 3*sqrt(1/3)*(a^10 - 5*a^8*b^2 + 10*a^6*b^4 - 10*a^4*b^6 + 5*a^2*b^8 - b^10)*d^2*sqrt((6480*a^14*b^2 + 1
79820*a^12*b^4 + 1584360*a^10*b^6 + 2835972*a^8*b^8 + 1584360*a^6*b^10 + 179820*a^4*b^12 + 6480*a^2*b^14 - (a^
20 - 10*a^18*b^2 + 45*a^16*b^4 - 120*a^14*b^6 + 210*a^12*b^8 - 252*a^10*b^10 + 210*a^8*b^12 - 120*a^6*b^14 + 4
5*a^4*b^16 - 10*a^2*b^18 + b^20)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^
4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*
a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a
^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8
*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^
4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6
*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^
6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 1
0*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^
2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^
2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*
a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*
a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2
+ 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*
d^2))^2*d^4 + 108*(5*a^16*b^2 - 8*a^14*b^4 - 30*a^12*b^6 + 95*a^10*b^8 - 95*a^8*b^10 + 30*a^6*b^12 + 8*a^4*b^1
4 - 5*a^2*b^16)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2
+ 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^1
0*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^
2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6
*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4
+ b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4
*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 +
b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 1
0*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*
a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4
*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*
a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4
*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5
*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))*d^2)/((a^20
- 10*a^18*b^2 + 45*a^16*b^4 - 120*a^14*b^6 + 210*a^12*b^8 - 252*a^10*b^10 + 210*a^8*b^12 - 120*a^6*b^14 + 45*
a^4*b^16 - 10*a^2*b^18 + b^20)*d^4)))/((a^10 - 5*a^8*b^2 + 10*a^6*b^4 - 10*a^4*b^6 + 5*a^2*b^8 - b^10)*d^2)) +
4*(a^11*b - 30*a^9*b^3 - 700*a^7*b^5 - 700*a^5*b^7 - 30*a^3*b^9 + a*b^11)*cosh(d*x + c) + 4*(a^11*b - 30*a^9*
b^3 - 700*a^7*b^5 - 700*a^5*b^7 - 30*a^3*b^9 + a*b^11)*sinh(d*x + c)) + 4*sqrt(2/3)*sqrt(1/6)*((a^4 - 2*a^2*b^
2 + b^4)*d*cosh(d*x + c)^3 + 3*(a^4 - 2*a^2*b^2 + b^4)*d*cosh(d*x + c)^2*sinh(d*x + c) + 3*(a^4 - 2*a^2*b^2 +
b^4)*d*cosh(d*x + c)*sinh(d*x + c)^2 + (a^4 - 2*a^2*b^2 + b^4)*d*sinh(d*x + c)^3)*sqrt(-(810*a^6*b^2 + 2754*a^
4*b^4 + 810*a^2*b^6 - (a^10 - 5*a^8*b^2 + 10*a^6*b^4 - 10*a^4*b^6 + 5*a^2*b^8 - b^10)*((5*a^2*b^2/(a^8*d^4 - 4
*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 -
5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*
b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2
+ 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^
2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*
b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 +
1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3
) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6
) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^
6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*
(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8
*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2
- b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10
*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))*d^2 + 3*sqrt(1/3)*(a^10 - 5*a^8*b^2 + 10*a^6*b^4 -
10*a^4*b^6 + 5*a^2*b^8 - b^10)*d^2*sqrt((6480*a^14*b^2 + 179820*a^12*b^4 + 1584360*a^10*b^6 + 2835972*a^8*b^8
+ 1584360*a^6*b^10 + 179820*a^4*b^12 + 6480*a^2*b^14 - (a^20 - 10*a^18*b^2 + 45*a^16*b^4 - 120*a^14*b^6 + 210*
a^12*b^8 - 252*a^10*b^10 + 210*a^8*b^12 - 120*a^6*b^14 + 45*a^4*b^16 - 10*a^2*b^18 + b^20)*((5*a^2*b^2/(a^8*d^
4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*
d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458
*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^
6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b
^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17
*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2
)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))
^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^1
0*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a
^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) -
1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^
2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/(
(a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2
+ 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))^2*d^4 + 108*(5*a^16*b^2 - 8*a^14*b^4 - 30*a^12
*b^6 + 95*a^10*b^8 - 95*a^8*b^10 + 30*a^6*b^12 + 8*a^4*b^14 - 5*a^2*b^16)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4
+ 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d
^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^
6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^
4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2
)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*
b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^1
0 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1
458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5
*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^
2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 +
17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*
d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^
6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2
- 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))*d^2)/((a^20 - 10*a^18*b^2 + 45*a^16*b^4 - 120*a^14*b^6 + 210*a^
12*b^8 - 252*a^10*b^10 + 210*a^8*b^12 - 120*a^6*b^14 + 45*a^4*b^16 - 10*a^2*b^18 + b^20)*d^4)))/((a^10 - 5*a^8
*b^2 + 10*a^6*b^4 - 10*a^4*b^6 + 5*a^2*b^8 - b^10)*d^2))*log(-1/324*sqrt(2/3)*sqrt(1/6)*((7*a^17 + 11*a^16*b +
70*a^15*b^2 + 65*a^14*b^3 - 335*a^13*b^4 - 385*a^12*b^5 + 391*a^11*b^6 + 572*a^10*b^7 + 130*a^9*b^8 - 130*a^8
*b^9 - 572*a^7*b^10 - 391*a^6*b^11 + 385*a^5*b^12 + 335*a^4*b^13 - 65*a^3*b^14 - 70*a^2*b^15 - 11*a*b^16 - 7*b
^17)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b
^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(
-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 -
b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 -
10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)
) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 +
5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b
^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d
^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2
+ 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^
2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2
- 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a
^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(
a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))^2*d^5 - 18*(a^15 + 2*a
^14*b + 320*a^13*b^2 + 475*a^12*b^3 + 5754*a^11*b^4 + 7152*a^10*b^5 + 21880*a^9*b^6 + 23465*a^8*b^7 + 23465*a^
7*b^8 + 21880*a^6*b^9 + 7152*a^5*b^10 + 5754*a^4*b^11 + 475*a^3*b^12 + 320*a^2*b^13 + 2*a*b^14 + b^15)*((5*a^2
*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b
^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) +
1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) -
5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d
^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*
a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^
2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b
^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b
^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^
4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 +
b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^
6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^1
0)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5
*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))*d^3 - 324*(2*a^12*b + 53*a^11*b^2
+ 20*a^10*b^3 + 839*a^9*b^4 - 262*a^8*b^5 + 1055*a^7*b^6 - 1055*a^6*b^7 + 262*a^5*b^8 - 839*a^4*b^9 - 20*a^3*b
^10 - 53*a^2*b^11 - 2*a*b^12)*d + 3*sqrt(1/3)*((7*a^17 + 11*a^16*b + 70*a^15*b^2 + 65*a^14*b^3 - 335*a^13*b^4
- 385*a^12*b^5 + 391*a^11*b^6 + 572*a^10*b^7 + 130*a^9*b^8 - 130*a^8*b^9 - 572*a^7*b^10 - 391*a^6*b^11 + 385*a
^5*b^12 + 335*a^4*b^13 - 65*a^3*b^14 - 70*a^2*b^15 - 11*a*b^16 - 7*b^17)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4
+ 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^
2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6
- 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4
+ 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)
*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b
^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10
- 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/14
58*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*
a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2
*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 +
17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d
^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6
))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2
- 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))*d^5 + 18*(a^15 + 2*a^14*b + 5*a^13*b^2 - 20*a^12*b^3 - 42*a^11*b
^4 + 69*a^10*b^5 + 100*a^9*b^6 - 115*a^8*b^7 - 115*a^7*b^8 + 100*a^6*b^9 + 69*a^5*b^10 - 42*a^4*b^11 - 20*a^3*
b^12 + 5*a^2*b^13 + 2*a*b^14 + b^15)*d^3)*sqrt((6480*a^14*b^2 + 179820*a^12*b^4 + 1584360*a^10*b^6 + 2835972*a
^8*b^8 + 1584360*a^6*b^10 + 179820*a^4*b^12 + 6480*a^2*b^14 - (a^20 - 10*a^18*b^2 + 45*a^16*b^4 - 120*a^14*b^6
+ 210*a^12*b^8 - 252*a^10*b^10 + 210*a^8*b^12 - 120*a^6*b^14 + 45*a^4*b^16 - 10*a^2*b^18 + b^20)*((5*a^2*b^2/
(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2
/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(
-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/16
2*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 +
5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b
^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b
^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^1
0*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^
6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2
- 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d
^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2
+ 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^
2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*
b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))^2*d^4 + 108*(5*a^16*b^2 - 8*a^14*b^4 -
30*a^12*b^6 + 95*a^10*b^8 - 95*a^8*b^10 + 30*a^6*b^12 + 8*a^4*b^14 - 5*a^2*b^16)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*
b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^
8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(
a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17
*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b
^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 +
5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/14
58*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 8
1*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5
/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2
+ 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^
6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2
- b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2
)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*
b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))*d^2)/((a^20 - 10*a^18*b^2 + 45*a^16*b^4 - 120*a^14*b^6 +
210*a^12*b^8 - 252*a^10*b^10 + 210*a^8*b^12 - 120*a^6*b^14 + 45*a^4*b^16 - 10*a^2*b^18 + b^20)*d^4)))*sqrt(-(
810*a^6*b^2 + 2754*a^4*b^4 + 810*a^2*b^6 - (a^10 - 5*a^8*b^2 + 10*a^6*b^4 - 10*a^4*b^6 + 5*a^2*b^8 - b^10)*((5
*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a
^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(
3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^
6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b
^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27
*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^
8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2
- b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a
^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^
6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^
4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^
4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 +
b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2
- 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))*d^2 + 3*sqrt(1/3)*(a^10 - 5*a^
8*b^2 + 10*a^6*b^4 - 10*a^4*b^6 + 5*a^2*b^8 - b^10)*d^2*sqrt((6480*a^14*b^2 + 179820*a^12*b^4 + 1584360*a^10*b
^6 + 2835972*a^8*b^8 + 1584360*a^6*b^10 + 179820*a^4*b^12 + 6480*a^2*b^14 - (a^20 - 10*a^18*b^2 + 45*a^16*b^4
- 120*a^14*b^6 + 210*a^12*b^8 - 252*a^10*b^10 + 210*a^8*b^12 - 120*a^6*b^14 + 45*a^4*b^16 - 10*a^2*b^18 + b^20
)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4
+ 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*
sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^
10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*
a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) -
1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a
^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/
((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6
+ 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 +
10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b
^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 -
10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*
b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^1
0*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))^2*d^4 + 108*(5*a^16*b^2 -
8*a^14*b^4 - 30*a^12*b^6 + 95*a^10*b^8 - 95*a^8*b^10 + 30*a^6*b^12 + 8*a^4*b^14 - 5*a^2*b^16)*((5*a^2*b^2/(a^
8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a
^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/
1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(
5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a
^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2
+ 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10
*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d
^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 -
b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 -
10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)
) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 +
5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b
^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2
*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))*d^2)/((a^20 - 10*a^18*b^2 + 45*a^16*b^4 -
120*a^14*b^6 + 210*a^12*b^8 - 252*a^10*b^10 + 210*a^8*b^12 - 120*a^6*b^14 + 45*a^4*b^16 - 10*a^2*b^18 + b^20)*
d^4)))/((a^10 - 5*a^8*b^2 + 10*a^6*b^4 - 10*a^4*b^6 + 5*a^2*b^8 - b^10)*d^2)) + 4*(a^11*b - 30*a^9*b^3 - 700*a
^7*b^5 - 700*a^5*b^7 - 30*a^3*b^9 + a*b^11)*cosh(d*x + c) + 4*(a^11*b - 30*a^9*b^3 - 700*a^7*b^5 - 700*a^5*b^7
- 30*a^3*b^9 + a*b^11)*sinh(d*x + c)) - 4*sqrt(2/3)*sqrt(1/6)*((a^4 - 2*a^2*b^2 + b^4)*d*cosh(d*x + c)^3 + 3*
(a^4 - 2*a^2*b^2 + b^4)*d*cosh(d*x + c)^2*sinh(d*x + c) + 3*(a^4 - 2*a^2*b^2 + b^4)*d*cosh(d*x + c)*sinh(d*x +
c)^2 + (a^4 - 2*a^2*b^2 + b^4)*d*sinh(d*x + c)^3)*sqrt(-(810*a^6*b^2 + 2754*a^4*b^4 + 810*a^2*b^6 - (a^10 - 5
*a^8*b^2 + 10*a^6*b^4 - 10*a^4*b^6 + 5*a^2*b^8 - b^10)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 -
4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2
- 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 +
10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*
b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*
b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 -
5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 70
0*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d
^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b
^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^
2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2
*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^
10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3
) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 +
5*a^2*b^8*d^2 - b^10*d^2))*d^2 - 3*sqrt(1/3)*(a^10 - 5*a^8*b^2 + 10*a^6*b^4 - 10*a^4*b^6 + 5*a^2*b^8 - b^10)*
d^2*sqrt((6480*a^14*b^2 + 179820*a^12*b^4 + 1584360*a^10*b^6 + 2835972*a^8*b^8 + 1584360*a^6*b^10 + 179820*a^4
*b^12 + 6480*a^2*b^14 - (a^20 - 10*a^18*b^2 + 45*a^16*b^4 - 120*a^14*b^6 + 210*a^12*b^8 - 252*a^10*b^10 + 210*
a^8*b^12 - 120*a^6*b^14 + 45*a^4*b^16 - 10*a^2*b^18 + b^20)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d
^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^
4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*
d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)
*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4
*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d
^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2
- 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a
^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*
a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^
10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 +
5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/145
8*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*s
qrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*
d^2 + 5*a^2*b^8*d^2 - b^10*d^2))^2*d^4 + 108*(5*a^16*b^2 - 8*a^14*b^4 - 30*a^12*b^6 + 95*a^10*b^8 - 95*a^8*b^1
0 + 30*a^6*b^12 + 8*a^4*b^14 - 5*a^2*b^16)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^
4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^
6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*
d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d
^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*
a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^
2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 -
700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b
^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b
^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4
- 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^1
0*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*
b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*
(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d
^2 - b^10*d^2))*d^2)/((a^20 - 10*a^18*b^2 + 45*a^16*b^4 - 120*a^14*b^6 + 210*a^12*b^8 - 252*a^10*b^10 + 210*a^
8*b^12 - 120*a^6*b^14 + 45*a^4*b^16 - 10*a^2*b^18 + b^20)*d^4)))/((a^10 - 5*a^8*b^2 + 10*a^6*b^4 - 10*a^4*b^6
+ 5*a^2*b^8 - b^10)*d^2))*log(1/324*sqrt(2/3)*sqrt(1/6)*((7*a^17 + 11*a^16*b + 70*a^15*b^2 + 65*a^14*b^3 - 335
*a^13*b^4 - 385*a^12*b^5 + 391*a^11*b^6 + 572*a^10*b^7 + 130*a^9*b^8 - 130*a^8*b^9 - 572*a^7*b^10 - 391*a^6*b^
11 + 385*a^5*b^12 + 335*a^4*b^13 - 65*a^3*b^14 - 70*a^2*b^15 - 11*a*b^16 - 7*b^17)*((5*a^2*b^2/(a^8*d^4 - 4*a^
6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*
a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2
/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 +
17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 -
b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4
+ 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/
1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) +
81*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) -
5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d
^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*
a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^
2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b
^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^
6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))^2*d^5 - 18*(a^15 + 2*a^14*b + 320*a^13*b^2 + 475*a^12*
b^3 + 5754*a^11*b^4 + 7152*a^10*b^5 + 21880*a^9*b^6 + 23465*a^8*b^7 + 23465*a^7*b^8 + 21880*a^6*b^9 + 7152*a^5
*b^10 + 5754*a^4*b^11 + 475*a^3*b^12 + 320*a^2*b^13 + 2*a*b^14 + b^15)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 +
6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2
+ 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 -
5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 +
5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(
a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6
)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 -
30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458
*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^
6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b
^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17
*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2
)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))
^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 -
10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))*d^3 - 324*(2*a^12*b + 53*a^11*b^2 + 20*a^10*b^3 + 839*a^9*b^4 - 26
2*a^8*b^5 + 1055*a^7*b^6 - 1055*a^6*b^7 + 262*a^5*b^8 - 839*a^4*b^9 - 20*a^3*b^10 - 53*a^2*b^11 - 2*a*b^12)*d
- 3*sqrt(1/3)*((7*a^17 + 11*a^16*b + 70*a^15*b^2 + 65*a^14*b^3 - 335*a^13*b^4 - 385*a^12*b^5 + 391*a^11*b^6 +
572*a^10*b^7 + 130*a^9*b^8 - 130*a^8*b^9 - 572*a^7*b^10 - 391*a^6*b^11 + 385*a^5*b^12 + 335*a^4*b^13 - 65*a^3*
b^14 - 70*a^2*b^15 - 11*a*b^16 - 7*b^17)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4
+ b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*
d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^
6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2
- 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^
4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2
+ 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 70
0*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2
*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6
)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 -
4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*
d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^
2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5
*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2
- b^10*d^2))*d^5 + 18*(a^15 + 2*a^14*b + 5*a^13*b^2 - 20*a^12*b^3 - 42*a^11*b^4 + 69*a^10*b^5 + 100*a^9*b^6 -
115*a^8*b^7 - 115*a^7*b^8 + 100*a^6*b^9 + 69*a^5*b^10 - 42*a^4*b^11 - 20*a^3*b^12 + 5*a^2*b^13 + 2*a*b^14 + b
^15)*d^3)*sqrt((6480*a^14*b^2 + 179820*a^12*b^4 + 1584360*a^10*b^6 + 2835972*a^8*b^8 + 1584360*a^6*b^10 + 1798
20*a^4*b^12 + 6480*a^2*b^14 - (a^20 - 10*a^18*b^2 + 45*a^16*b^4 - 120*a^14*b^6 + 210*a^12*b^8 - 252*a^10*b^10
+ 210*a^8*b^12 - 120*a^6*b^14 + 45*a^4*b^16 - 10*a^2*b^18 + b^20)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4
*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*
a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^
8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^
2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d
^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(
a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a
^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*
b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2
+ 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^
2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*
b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 +
1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3
)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^
4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))^2*d^4 + 108*(5*a^16*b^2 - 8*a^14*b^4 - 30*a^12*b^6 + 95*a^10*b^8 - 95*a
^8*b^10 + 30*a^6*b^12 + 8*a^4*b^14 - 5*a^2*b^16)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*
b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*
a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^
6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((
a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^
4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*
b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*
b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5
*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5
*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^
8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^
3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 3
0*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1)
+ 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2
*b^8*d^2 - b^10*d^2))*d^2)/((a^20 - 10*a^18*b^2 + 45*a^16*b^4 - 120*a^14*b^6 + 210*a^12*b^8 - 252*a^10*b^10 +
210*a^8*b^12 - 120*a^6*b^14 + 45*a^4*b^16 - 10*a^2*b^18 + b^20)*d^4)))*sqrt(-(810*a^6*b^2 + 2754*a^4*b^4 + 810
*a^2*b^6 - (a^10 - 5*a^8*b^2 + 10*a^6*b^4 - 10*a^4*b^6 + 5*a^2*b^8 - b^10)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^
4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*
d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d
^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b
^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^
2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2
*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^
10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/
1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(
5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a
^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2
+ 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10
*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d
^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^
2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))*d^2 - 3*sqrt(1/3)*(a^10 - 5*a^8*b^2 + 10*a^6*b^4 - 10*a^4*b^6
+ 5*a^2*b^8 - b^10)*d^2*sqrt((6480*a^14*b^2 + 179820*a^12*b^4 + 1584360*a^10*b^6 + 2835972*a^8*b^8 + 1584360*a
^6*b^10 + 179820*a^4*b^12 + 6480*a^2*b^14 - (a^20 - 10*a^18*b^2 + 45*a^16*b^4 - 120*a^14*b^6 + 210*a^12*b^8 -
252*a^10*b^10 + 210*a^8*b^12 - 120*a^6*b^14 + 45*a^4*b^16 - 10*a^2*b^18 + b^20)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b
^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8
*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a
^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*
a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^
10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 +
5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/145
8*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81
*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/
162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2
+ 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6
*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 -
b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)
^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b
^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))^2*d^4 + 108*(5*a^16*b^2 - 8*a^14*b^4 - 30*a^12*b^6 + 95*a
^10*b^8 - 95*a^8*b^10 + 30*a^6*b^12 + 8*a^4*b^14 - 5*a^2*b^16)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^
4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6
*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b
^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b
^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4
- 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^1
0*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*
b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2
/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 +
17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 -
b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4
+ 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/
1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(
I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b
^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))*d^2)/((a^20 - 10*a^18*b^2 + 45*a^16*b^4 - 120*a^14*b^6 + 210*a^12*b^8 - 25
2*a^10*b^10 + 210*a^8*b^12 - 120*a^6*b^14 + 45*a^4*b^16 - 10*a^2*b^18 + b^20)*d^4)))/((a^10 - 5*a^8*b^2 + 10*a
^6*b^4 - 10*a^4*b^6 + 5*a^2*b^8 - b^10)*d^2)) + 4*(a^11*b - 30*a^9*b^3 - 700*a^7*b^5 - 700*a^5*b^7 - 30*a^3*b^
9 + a*b^11)*cosh(d*x + c) + 4*(a^11*b - 30*a^9*b^3 - 700*a^7*b^5 - 700*a^5*b^7 - 30*a^3*b^9 + a*b^11)*sinh(d*x
+ c)) + 4*sqrt(2/3)*sqrt(1/6)*((a^4 - 2*a^2*b^2 + b^4)*d*cosh(d*x + c)^3 + 3*(a^4 - 2*a^2*b^2 + b^4)*d*cosh(d
*x + c)^2*sinh(d*x + c) + 3*(a^4 - 2*a^2*b^2 + b^4)*d*cosh(d*x + c)*sinh(d*x + c)^2 + (a^4 - 2*a^2*b^2 + b^4)*
d*sinh(d*x + c)^3)*sqrt(-(810*a^6*b^2 + 2754*a^4*b^4 + 810*a^2*b^6 - (a^10 - 5*a^8*b^2 + 10*a^6*b^4 - 10*a^4*b
^6 + 5*a^2*b^8 - b^10)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*
a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^
2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6
+ 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 +
10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*
b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 -
10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2
*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*
d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d
^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*
a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^
2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 -
700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*
b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))*d^2
- 3*sqrt(1/3)*(a^10 - 5*a^8*b^2 + 10*a^6*b^4 - 10*a^4*b^6 + 5*a^2*b^8 - b^10)*d^2*sqrt((6480*a^14*b^2 + 179820
*a^12*b^4 + 1584360*a^10*b^6 + 2835972*a^8*b^8 + 1584360*a^6*b^10 + 179820*a^4*b^12 + 6480*a^2*b^14 - (a^20 -
10*a^18*b^2 + 45*a^16*b^4 - 120*a^14*b^6 + 210*a^12*b^8 - 252*a^10*b^10 + 210*a^8*b^12 - 120*a^6*b^14 + 45*a^4
*b^16 - 10*a^2*b^18 + b^20)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) +
9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b
^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^
6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*
d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4
*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*
d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 3
0*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6
*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a
^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4
+ 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b
^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b
^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17
*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))
^2*d^4 + 108*(5*a^16*b^2 - 8*a^14*b^4 - 30*a^12*b^6 + 95*a^10*b^8 - 95*a^8*b^10 + 30*a^6*b^12 + 8*a^4*b^14 - 5
*a^2*b^16)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17
*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2
)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8
*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*
d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^
8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*
d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)
*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4
*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b
^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4
- 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b
^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6
- 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*
b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))*d^2)/((a^20 - 10
*a^18*b^2 + 45*a^16*b^4 - 120*a^14*b^6 + 210*a^12*b^8 - 252*a^10*b^10 + 210*a^8*b^12 - 120*a^6*b^14 + 45*a^4*b
^16 - 10*a^2*b^18 + b^20)*d^4)))/((a^10 - 5*a^8*b^2 + 10*a^6*b^4 - 10*a^4*b^6 + 5*a^2*b^8 - b^10)*d^2))*log(-1
/324*sqrt(2/3)*sqrt(1/6)*((7*a^17 + 11*a^16*b + 70*a^15*b^2 + 65*a^14*b^3 - 335*a^13*b^4 - 385*a^12*b^5 + 391*
a^11*b^6 + 572*a^10*b^7 + 130*a^9*b^8 - 130*a^8*b^9 - 572*a^7*b^10 - 391*a^6*b^11 + 385*a^5*b^12 + 335*a^4*b^1
3 - 65*a^3*b^14 - 70*a^2*b^15 - 11*a*b^16 - 7*b^17)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a
^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 -
10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10
*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2
/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2
*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a
^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a
^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6
- 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4
+ 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*
(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^
6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10
- 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) +
1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*
a^2*b^8*d^2 - b^10*d^2))^2*d^5 - 18*(a^15 + 2*a^14*b + 320*a^13*b^2 + 475*a^12*b^3 + 5754*a^11*b^4 + 7152*a^10
*b^5 + 21880*a^9*b^6 + 23465*a^8*b^7 + 23465*a^7*b^8 + 21880*a^6*b^9 + 7152*a^5*b^10 + 5754*a^4*b^11 + 475*a^3
*b^12 + 320*a^2*b^13 + 2*a*b^14 + b^15)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 +
b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d
^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6
- 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2
- 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4
*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 +
10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700
*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*
d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)
*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4
*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d
^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2
- 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*
a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2
- b^10*d^2))*d^3 - 324*(2*a^12*b + 53*a^11*b^2 + 20*a^10*b^3 + 839*a^9*b^4 - 262*a^8*b^5 + 1055*a^7*b^6 - 1055
*a^6*b^7 + 262*a^5*b^8 - 839*a^4*b^9 - 20*a^3*b^10 - 53*a^2*b^11 - 2*a*b^12)*d - 3*sqrt(1/3)*((7*a^17 + 11*a^1
6*b + 70*a^15*b^2 + 65*a^14*b^3 - 335*a^13*b^4 - 385*a^12*b^5 + 391*a^11*b^6 + 572*a^10*b^7 + 130*a^9*b^8 - 13
0*a^8*b^9 - 572*a^7*b^10 - 391*a^6*b^11 + 385*a^5*b^12 + 335*a^4*b^13 - 65*a^3*b^14 - 70*a^2*b^15 - 11*a*b^16
- 7*b^17)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*
a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)
^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*
d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d
^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8
*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d
^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*
a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*
b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^
2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 -
4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^
4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 -
30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b
^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))*d^5 + 18*(a^15 +
2*a^14*b + 5*a^13*b^2 - 20*a^12*b^3 - 42*a^11*b^4 + 69*a^10*b^5 + 100*a^9*b^6 - 115*a^8*b^7 - 115*a^7*b^8 + 10
0*a^6*b^9 + 69*a^5*b^10 - 42*a^4*b^11 - 20*a^3*b^12 + 5*a^2*b^13 + 2*a*b^14 + b^15)*d^3)*sqrt((6480*a^14*b^2 +
179820*a^12*b^4 + 1584360*a^10*b^6 + 2835972*a^8*b^8 + 1584360*a^6*b^10 + 179820*a^4*b^12 + 6480*a^2*b^14 - (
a^20 - 10*a^18*b^2 + 45*a^16*b^4 - 120*a^14*b^6 + 210*a^12*b^8 - 252*a^10*b^10 + 210*a^8*b^12 - 120*a^6*b^14 +
45*a^4*b^16 - 10*a^2*b^18 + b^20)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*
d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 +
5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10
*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a
^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*
d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a
^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*
b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 +
10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*
b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*
b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 -
5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 70
0*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b
^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^1
0*d^2))^2*d^4 + 108*(5*a^16*b^2 - 8*a^14*b^4 - 30*a^12*b^6 + 95*a^10*b^8 - 95*a^8*b^10 + 30*a^6*b^12 + 8*a^4*b
^14 - 5*a^2*b^16)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b
^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b
^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*
a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a
^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d
^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a
^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8
+ b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 -
10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 -
5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b
^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 1
0*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a
^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 +
5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))*d^2)/((a^
20 - 10*a^18*b^2 + 45*a^16*b^4 - 120*a^14*b^6 + 210*a^12*b^8 - 252*a^10*b^10 + 210*a^8*b^12 - 120*a^6*b^14 + 4
5*a^4*b^16 - 10*a^2*b^18 + b^20)*d^4)))*sqrt(-(810*a^6*b^2 + 2754*a^4*b^4 + 810*a^2*b^6 - (a^10 - 5*a^8*b^2 +
10*a^6*b^4 - 10*a^4*b^6 + 5*a^2*b^8 - b^10)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d
^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b
^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4
*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*
d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6
*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d
^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 -
700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*
b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*
b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4
- 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^
10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8
*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54
*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*
d^2 - b^10*d^2))*d^2 - 3*sqrt(1/3)*(a^10 - 5*a^8*b^2 + 10*a^6*b^4 - 10*a^4*b^6 + 5*a^2*b^8 - b^10)*d^2*sqrt((6
480*a^14*b^2 + 179820*a^12*b^4 + 1584360*a^10*b^6 + 2835972*a^8*b^8 + 1584360*a^6*b^10 + 179820*a^4*b^12 + 648
0*a^2*b^14 - (a^20 - 10*a^18*b^2 + 45*a^16*b^4 - 120*a^14*b^6 + 210*a^12*b^8 - 252*a^10*b^10 + 210*a^8*b^12 -
120*a^6*b^14 + 45*a^4*b^16 - 10*a^2*b^18 + b^20)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*
b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*
a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^
6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((
a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^
4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*
b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*
b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5
*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5
*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^
8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^
3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 3
0*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1)
+ 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2
*b^8*d^2 - b^10*d^2))^2*d^4 + 108*(5*a^16*b^2 - 8*a^14*b^4 - 30*a^12*b^6 + 95*a^10*b^8 - 95*a^8*b^10 + 30*a^6*
b^12 + 8*a^4*b^14 - 5*a^2*b^16)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4
) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a
^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^
4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*
b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4
- 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*
b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6
- 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10
*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2
/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2
*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a
^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a
^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2
+ 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d
^2))*d^2)/((a^20 - 10*a^18*b^2 + 45*a^16*b^4 - 120*a^14*b^6 + 210*a^12*b^8 - 252*a^10*b^10 + 210*a^8*b^12 - 12
0*a^6*b^14 + 45*a^4*b^16 - 10*a^2*b^18 + b^20)*d^4)))/((a^10 - 5*a^8*b^2 + 10*a^6*b^4 - 10*a^4*b^6 + 5*a^2*b^8
- b^10)*d^2)) + 4*(a^11*b - 30*a^9*b^3 - 700*a^7*b^5 - 700*a^5*b^7 - 30*a^3*b^9 + a*b^11)*cosh(d*x + c) + 4*(
a^11*b - 30*a^9*b^3 - 700*a^7*b^5 - 700*a^5*b^7 - 30*a^3*b^9 + a*b^11)*sinh(d*x + c)) + a^3 + a^2*b - a*b^2 -
b^3 - 9*(a^3 + 3*a^2*b + 3*a*b^2 + b^3)*cosh(d*x + c)^2 + 3*(5*(a^3 - a^2*b - a*b^2 + b^3)*cosh(d*x + c)^4 - 3
*a^3 - 9*a^2*b - 9*a*b^2 - 3*b^3 - 18*(a^3 - 3*a^2*b + 3*a*b^2 - b^3)*cosh(d*x + c)^2)*sinh(d*x + c)^2 + 24*((
a^4 - 2*a^2*b^2 + b^4)*d*cosh(d*x + c)^3 + 3*(a^4 - 2*a^2*b^2 + b^4)*d*cosh(d*x + c)^2*sinh(d*x + c) + 3*(a^4
- 2*a^2*b^2 + b^4)*d*cosh(d*x + c)*sinh(d*x + c)^2 + (a^4 - 2*a^2*b^2 + b^4)*d*sinh(d*x + c)^3)*sqrt(-1/162*(5
*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a
^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(
3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^
6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b
^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27
*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^
8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2
- b^2)^10*d^6))^(1/3) - 1/2*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*
a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a
^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d
^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a
^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8
+ b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) - 1/3*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d
^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))*log(2*(a^11*b - 30*a^9*b^3 -
700*a^7*b^5 - 700*a^5*b^7 - 30*a^3*b^9 + a*b^11)*cosh(d*x + c) + 2*(a^11*b - 30*a^9*b^3 - 700*a^7*b^5 - 700*a
^5*b^7 - 30*a^3*b^9 + a*b^11)*sinh(d*x + c) + 1/54*((7*a^17 + 11*a^16*b + 70*a^15*b^2 + 65*a^14*b^3 - 335*a^13
*b^4 - 385*a^12*b^5 + 391*a^11*b^6 + 572*a^10*b^7 + 130*a^9*b^8 - 130*a^8*b^9 - 572*a^7*b^10 - 391*a^6*b^11 +
385*a^5*b^12 + 335*a^4*b^13 - 65*a^3*b^14 - 70*a^2*b^15 - 11*a*b^16 - 7*b^17)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2
*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b
^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^1
0*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^
4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10
*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*
a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*
(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(
-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/16
2*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 +
5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b
^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b
^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^1
0*d^6))^(1/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4
*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))^2*d^5 - 18*(a^15 + 2*a^14*b + 320*a^13*b^2 + 475*a^12*b^3 +
5754*a^11*b^4 + 7152*a^10*b^5 + 21880*a^9*b^6 + 23465*a^8*b^7 + 23465*a^7*b^8 + 21880*a^6*b^9 + 7152*a^5*b^10
+ 5754*a^4*b^11 + 475*a^3*b^12 + 320*a^2*b^13 + 2*a*b^14 + b^15)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4
*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*
a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^
8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^
2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d
^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(
a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a
^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*
b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2
+ 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^
2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*
b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 +
1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3
)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^
4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))*d^3 + 324*(a^12*b - 56*a^11*b^2 - 110*a^10*b^3 - 749*a^9*b^4 - 1838*a^8
*b^5 + 1045*a^7*b^6 - 1045*a^6*b^7 + 1838*a^5*b^8 + 749*a^4*b^9 + 110*a^3*b^10 + 56*a^2*b^11 - a*b^12)*d)*sqrt
(-1/162*(5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4
*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)
*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6
- b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2
- 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^
4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2
+ 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2
*b^2/((a^2 - b^2)^10*d^6))^(1/3) - 1/2*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^
6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*
d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4
*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*
d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 3
0*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) - 1/3*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^
6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))) - 24*((a^4 - 2*a^
2*b^2 + b^4)*d*cosh(d*x + c)^3 + 3*(a^4 - 2*a^2*b^2 + b^4)*d*cosh(d*x + c)^2*sinh(d*x + c) + 3*(a^4 - 2*a^2*b^
2 + b^4)*d*cosh(d*x + c)*sinh(d*x + c)^2 + (a^4 - 2*a^2*b^2 + b^4)*d*sinh(d*x + c)^3)*sqrt(-1/162*(5*a^2*b^2/(
a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/
(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-
1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162
*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5
*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^
2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^
10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10
*d^6))^(1/3) - 1/2*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^
6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2
- 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d
^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2
+ 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^
2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) - 1/3*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8
*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))*log(2*(a^11*b - 30*a^9*b^3 - 700*a^7*b
^5 - 700*a^5*b^7 - 30*a^3*b^9 + a*b^11)*cosh(d*x + c) + 2*(a^11*b - 30*a^9*b^3 - 700*a^7*b^5 - 700*a^5*b^7 - 3
0*a^3*b^9 + a*b^11)*sinh(d*x + c) - 1/54*((7*a^17 + 11*a^16*b + 70*a^15*b^2 + 65*a^14*b^3 - 335*a^13*b^4 - 385
*a^12*b^5 + 391*a^11*b^6 + 572*a^10*b^7 + 130*a^9*b^8 - 130*a^8*b^9 - 572*a^7*b^10 - 391*a^6*b^11 + 385*a^5*b^
12 + 335*a^4*b^13 - 65*a^3*b^14 - 70*a^2*b^15 - 11*a*b^16 - 7*b^17)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a
^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 1
0*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*
a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*
a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8
*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3
/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30
*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^
2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b
^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*
d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^
4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3
+ 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1
/3)*(I*sqrt(3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*
a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))^2*d^5 - 18*(a^15 + 2*a^14*b + 320*a^13*b^2 + 475*a^12*b^3 + 5754*a^11
*b^4 + 7152*a^10*b^5 + 21880*a^9*b^6 + 23465*a^8*b^7 + 23465*a^7*b^8 + 21880*a^6*b^9 + 7152*a^5*b^10 + 5754*a^
4*b^11 + 475*a^3*b^12 + 320*a^2*b^13 + 2*a*b^14 + b^15)*((5*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 -
4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^
2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6
+ 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2
*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6
*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 -
5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 7
00*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3) + 81*(-1/1458*a^2*b^2/(a^10*
d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*
b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d
^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^
2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a
^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(
3) + 1) + 54*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2
+ 5*a^2*b^8*d^2 - b^10*d^2))*d^3 + 324*(a^12*b - 56*a^11*b^2 - 110*a^10*b^3 - 749*a^9*b^4 - 1838*a^8*b^5 + 104
5*a^7*b^6 - 1045*a^6*b^7 + 1838*a^5*b^8 + 749*a^4*b^9 + 110*a^3*b^10 + 56*a^2*b^11 - a*b^12)*d)*sqrt(-1/162*(5
*a^2*b^2/(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4) + 9*(5*a^6*b^2 + 17*a^4*b^4 + 5*a
^2*b^6)^2/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^2)*(-I*sqrt(
3) + 1)/(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*a^2*b^8*d^6 - b^10*d^
6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b
^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d^4 + b^8*d^4)) - 1/27
*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^
8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8 + b^10)*a^2*b^2/((a^2
- b^2)^10*d^6))^(1/3) - 1/2*(-1/1458*a^2*b^2/(a^10*d^6 - 5*a^8*b^2*d^6 + 10*a^6*b^4*d^6 - 10*a^4*b^6*d^6 + 5*
a^2*b^8*d^6 - b^10*d^6) - 5/162*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)*a^2*b^2/((a^10*d^2 - 5*a^8*b^2*d^2 + 10*a
^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)*(a^8*d^4 - 4*a^6*b^2*d^4 + 6*a^4*b^4*d^4 - 4*a^2*b^6*d
^4 + b^8*d^4)) - 1/27*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)^3/(a^10*d^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a
^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2)^3 + 1/1458*(a^10 - 30*a^8*b^2 - 700*a^6*b^4 - 700*a^4*b^6 - 30*a^2*b^8
+ b^10)*a^2*b^2/((a^2 - b^2)^10*d^6))^(1/3)*(I*sqrt(3) + 1) - 1/3*(5*a^6*b^2 + 17*a^4*b^4 + 5*a^2*b^6)/(a^10*d
^2 - 5*a^8*b^2*d^2 + 10*a^6*b^4*d^2 - 10*a^4*b^6*d^2 + 5*a^2*b^8*d^2 - b^10*d^2))) + 6*((a^3 - a^2*b - a*b^2 +
b^3)*cosh(d*x + c)^5 - 6*(a^3 - 3*a^2*b + 3*a*b^2 - b^3)*cosh(d*x + c)^3 - 3*(a^3 + 3*a^2*b + 3*a*b^2 + b^3)*
cosh(d*x + c))*sinh(d*x + c))/((a^4 - 2*a^2*b^2 + b^4)*d*cosh(d*x + c)^3 + 3*(a^4 - 2*a^2*b^2 + b^4)*d*cosh(d*
x + c)^2*sinh(d*x + c) + 3*(a^4 - 2*a^2*b^2 + b^4)*d*cosh(d*x + c)*sinh(d*x + c)^2 + (a^4 - 2*a^2*b^2 + b^4)*d
*sinh(d*x + c)^3)

Integral number [76] \[ \int \frac {\sinh (c+d x)}{a+b \tanh ^3(c+d x)} \, dx \]

[C]   time = 1.71104 (sec), size = 40923 ,normalized size = 1948.71 \[ \text {Too large to display} \]

[In]

integrate(sinh(d*x+c)/(a+b*tanh(d*x+c)^3),x, algorithm=""fricas"")

[Out]

-1/6*(sqrt(2/3)*sqrt(1/2)*((a^2 - b^2)*d*cosh(d*x + c) + (a^2 - b^2)*d*sinh(d*x + c))*sqrt(-(108*a^2*b^2 + 54*
b^4 - (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2
*b^2 + b^4)^2/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 -
3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^
4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*
a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*
d^6))^(1/3) + 27*(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)
*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))
- 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 -
24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b
^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))*d^2 + 3*sqrt(1/3)*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*d^2*sqrt((432*a^6*b^2
+ 2592*a^4*b^4 + 5184*a^2*b^6 + 540*b^8 - (a^12 - 6*a^10*b^2 + 15*a^8*b^4 - 20*a^6*b^6 + 15*a^4*b^8 - 6*a^2*b
^10 + b^12)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*a^4
*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6
- a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*
a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 -
b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27*(-1/1458*b^2/
(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4
+ 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a
^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 -
b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d
^2))^2*d^4 + 36*(2*a^8*b^2 - 5*a^6*b^4 + 3*a^4*b^6 + a^2*b^8 - b^10)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^
4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) +
1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4
- 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2
*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b
^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27*(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^
6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2
+ 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 -
1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^
2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))*d^2)/((a^12 - 6*a^10*b^2 + 15*a^8*b^4 - 20*a^6*b
^6 + 15*a^4*b^8 - 6*a^2*b^10 + b^12)*d^4)))/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*d^2))*log(1/36*sqrt(2/3)*sqrt
(1/2)*((4*a^12 + 3*a^11*b + a^10*b^2 - 3*a^9*b^3 - 26*a^8*b^4 - 9*a^7*b^5 + 32*a^6*b^6 + 15*a^5*b^7 - 10*a^4*b
^8 - 6*a^3*b^9 - a^2*b^10)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(
a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 +
3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4
)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3
*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 2
7*(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4
- 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*
b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^
6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*
b^4*d^2 - b^6*d^2))^2*d^5 - 6*(a^10 + a^9*b + 71*a^8*b^2 + 50*a^7*b^3 + 267*a^6*b^4 + 141*a^5*b^5 + 140*a^4*b^
6 + 50*a^3*b^7 + 7*a^2*b^8 + a*b^9)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 +
b^4)^2/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*
b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4
- b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^
2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^
(1/3) + 27*(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/(
(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/2
7*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2
*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2
+ 3*a^2*b^4*d^2 - b^6*d^2))*d^3 - 36*(2*a^7*b + 18*a^6*b^2 + 6*a^5*b^3 + 63*a^4*b^4 - 9*a^3*b^5 + a*b^7)*d +
3*sqrt(1/3)*((4*a^12 + 3*a^11*b + a^10*b^2 - 3*a^9*b^3 - 26*a^8*b^4 - 9*a^7*b^5 + 32*a^6*b^6 + 15*a^5*b^7 - 10
*a^4*b^8 - 6*a^3*b^9 - a^2*b^10)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^
4)^2/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2
*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b
^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d
^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/
3) + 27*(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^
6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(
2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^
4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 +
3*a^2*b^4*d^2 - b^6*d^2))*d^5 + 6*(a^10 + a^9*b - a^8*b^2 - 4*a^7*b^3 - 3*a^6*b^4 + 6*a^5*b^5 + 5*a^4*b^6 - 4*
a^3*b^7 - 2*a^2*b^8 + a*b^9)*d^3)*sqrt((432*a^6*b^2 + 2592*a^4*b^4 + 5184*a^2*b^6 + 540*b^8 - (a^12 - 6*a^10*b
^2 + 15*a^8*b^4 - 20*a^6*b^6 + 15*a^4*b^8 - 6*a^2*b^10 + b^12)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4
- b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1
/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a
^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 +
b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^
2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27*(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1
/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^
2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/145
8*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^
4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))^2*d^4 + 36*(2*a^8*b^2 - 5*a^6*b^4 + 3*a^4*b^6 + a^2*b^
8 - b^10)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*a^4*b
^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 -
a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^
4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^
6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27*(-1/1458*b^2/(a
^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 +
3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6
*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^
2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2
))*d^2)/((a^12 - 6*a^10*b^2 + 15*a^8*b^4 - 20*a^6*b^6 + 15*a^4*b^8 - 6*a^2*b^10 + b^12)*d^4)))*sqrt(-(108*a^2*
b^2 + 54*b^4 - (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) +
3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a
^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 +
3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6
*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^
2)^6*a^2*d^6))^(1/3) + 27*(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b
^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 -
b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a
^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2
- 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))*d^2 + 3*sqrt(1/3)*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*d^2*sqrt((43
2*a^6*b^2 + 2592*a^4*b^4 + 5184*a^2*b^6 + 540*b^8 - (a^12 - 6*a^10*b^2 + 15*a^8*b^4 - 20*a^6*b^6 + 15*a^4*b^8
- 6*a^2*b^10 + b^12)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^
2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4
*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6
*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b
^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27*(-1/
1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^
4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 +
b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2
/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^
2 - b^6*d^2))^2*d^4 + 36*(2*a^8*b^2 - 5*a^6*b^4 + 3*a^4*b^6 + a^2*b^8 - b^10)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 +
3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*s
qrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/
((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/
27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^
2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27*(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a
^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4
*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6
*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*
(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))*d^2)/((a^12 - 6*a^10*b^2 + 15*a^8*b^4 -
20*a^6*b^6 + 15*a^4*b^8 - 6*a^2*b^10 + b^12)*d^4)))/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*d^2)) - 4*(a^6*b - 3
*a^4*b^3 - 24*a^2*b^5 - b^7)*cosh(d*x + c) - 4*(a^6*b - 3*a^4*b^3 - 24*a^2*b^5 - b^7)*sinh(d*x + c)) - sqrt(2/
3)*sqrt(1/2)*((a^2 - b^2)*d*cosh(d*x + c) + (a^2 - b^2)*d*sinh(d*x + c))*sqrt(-(108*a^2*b^2 + 54*b^4 - (a^6 -
3*a^4*b^2 + 3*a^2*b^4 - b^6)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2
/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6
+ 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d
^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 +
3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) +
27*(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^
4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^
2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 -
b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^
2*b^4*d^2 - b^6*d^2))*d^2 + 3*sqrt(1/3)*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*d^2*sqrt((432*a^6*b^2 + 2592*a^4*b
^4 + 5184*a^2*b^6 + 540*b^8 - (a^12 - 6*a^10*b^2 + 15*a^8*b^4 - 20*a^6*b^6 + 15*a^4*b^8 - 6*a^2*b^10 + b^12)*(
(b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*
a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6
) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 +
3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 -
1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27*(-1/1458*b^2/(a^8*d^6 - 3*
a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*
d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^
4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^
6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))^2*d^4 +
36*(2*a^8*b^2 - 5*a^6*b^4 + 3*a^4*b^6 + a^2*b^8 - b^10)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d
^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b
^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*
d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3
/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2
- b^2)^6*a^2*d^6))^(1/3) + 27*(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*
a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d
^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6
- 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6
*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))*d^2)/((a^12 - 6*a^10*b^2 + 15*a^8*b^4 - 20*a^6*b^6 + 15*a^4*b
^8 - 6*a^2*b^10 + b^12)*d^4)))/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*d^2))*log(-1/36*sqrt(2/3)*sqrt(1/2)*((4*a^
12 + 3*a^11*b + a^10*b^2 - 3*a^9*b^3 - 26*a^8*b^4 - 9*a^7*b^5 + 32*a^6*b^6 + 15*a^5*b^7 - 10*a^4*b^8 - 6*a^3*b
^9 - a^2*b^10)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*
a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d
^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 -
3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2
- b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27*(-1/1458*b
^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*
d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3
/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2
- b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^
6*d^2))^2*d^5 - 6*(a^10 + a^9*b + 71*a^8*b^2 + 50*a^7*b^3 + 267*a^6*b^4 + 141*a^5*b^5 + 140*a^4*b^6 + 50*a^3*b
^7 + 7*a^2*b^8 + a*b^9)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6
*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*
a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(
a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^
2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27*(
-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3
*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2
+ b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*
b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4
*d^2 - b^6*d^2))*d^3 - 36*(2*a^7*b + 18*a^6*b^2 + 6*a^5*b^3 + 63*a^4*b^4 - 9*a^3*b^5 + a*b^7)*d + 3*sqrt(1/3)*
((4*a^12 + 3*a^11*b + a^10*b^2 - 3*a^9*b^3 - 26*a^8*b^4 - 9*a^7*b^5 + 32*a^6*b^6 + 15*a^5*b^7 - 10*a^4*b^8 - 6
*a^3*b^9 - a^2*b^10)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^
2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4
*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6
*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b
^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27*(-1/
1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^
4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 +
b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2
/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^
2 - b^6*d^2))*d^5 + 6*(a^10 + a^9*b - a^8*b^2 - 4*a^7*b^3 - 3*a^6*b^4 + 6*a^5*b^5 + 5*a^4*b^6 - 4*a^3*b^7 - 2*
a^2*b^8 + a*b^9)*d^3)*sqrt((432*a^6*b^2 + 2592*a^4*b^4 + 5184*a^2*b^6 + 540*b^8 - (a^12 - 6*a^10*b^2 + 15*a^8*
b^4 - 20*a^6*b^6 + 15*a^4*b^8 - 6*a^2*b^10 + b^12)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) +
3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a
^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 +
3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6
*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^
2)^6*a^2*d^6))^(1/3) + 27*(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b
^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 -
b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a
^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2
- 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))^2*d^4 + 36*(2*a^8*b^2 - 5*a^6*b^4 + 3*a^4*b^6 + a^2*b^8 - b^10)*((
b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a
^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6)
- 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 +
3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1
/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27*(-1/1458*b^2/(a^8*d^6 - 3*a
^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d
^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4
*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6
))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))*d^2)/((a^
12 - 6*a^10*b^2 + 15*a^8*b^4 - 20*a^6*b^6 + 15*a^4*b^8 - 6*a^2*b^10 + b^12)*d^4)))*sqrt(-(108*a^2*b^2 + 54*b^4
- (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^
2 + b^4)^2/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a
^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d
^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4
*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6
))^(1/3) + 27*(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^
2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) -
1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*
a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*
d^2 + 3*a^2*b^4*d^2 - b^6*d^2))*d^2 + 3*sqrt(1/3)*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*d^2*sqrt((432*a^6*b^2 +
2592*a^4*b^4 + 5184*a^2*b^6 + 540*b^8 - (a^12 - 6*a^10*b^2 + 15*a^8*b^4 - 20*a^6*b^6 + 15*a^4*b^8 - 6*a^2*b^10
+ b^12)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*a^4*b^
2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a
^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4
*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6
*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27*(-1/1458*b^2/(a^
8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 +
3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*
d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2
)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)
)^2*d^4 + 36*(2*a^8*b^2 - 5*a^6*b^4 + 3*a^4*b^6 + a^2*b^8 - b^10)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d
^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/
(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 -
3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^
2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)
*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27*(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6)
- 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3
*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/
1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 +
b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))*d^2)/((a^12 - 6*a^10*b^2 + 15*a^8*b^4 - 20*a^6*b^6
+ 15*a^4*b^8 - 6*a^2*b^10 + b^12)*d^4)))/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*d^2)) - 4*(a^6*b - 3*a^4*b^3 - 2
4*a^2*b^5 - b^7)*cosh(d*x + c) - 4*(a^6*b - 3*a^4*b^3 - 24*a^2*b^5 - b^7)*sinh(d*x + c)) + sqrt(2/3)*sqrt(1/2)
*((a^2 - b^2)*d*cosh(d*x + c) + (a^2 - b^2)*d*sinh(d*x + c))*sqrt(-(108*a^2*b^2 + 54*b^4 - (a^6 - 3*a^4*b^2 +
3*a^2*b^4 - b^6)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 -
3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4
*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2
- 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d
^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27*(-1/1458
*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^
2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)
^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a
^2 - b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 -
b^6*d^2))*d^2 - 3*sqrt(1/3)*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*d^2*sqrt((432*a^6*b^2 + 2592*a^4*b^4 + 5184*a^
2*b^6 + 540*b^8 - (a^12 - 6*a^10*b^2 + 15*a^8*b^4 - 20*a^6*b^6 + 15*a^4*b^8 - 6*a^2*b^10 + b^12)*((b^2/(a^6*d^
4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2
- b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*
a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d
^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6
- 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27*(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6
+ 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^
4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 +
3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I
*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))^2*d^4 + 36*(2*a^8*b^
2 - 5*a^6*b^4 + 3*a^4*b^6 + a^2*b^8 - b^10)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a
^2*b^2 + b^4)^2/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6
- 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*
b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 -
3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^
2*d^6))^(1/3) + 27*(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^
4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2
)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2
- 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4
*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))*d^2)/((a^12 - 6*a^10*b^2 + 15*a^8*b^4 - 20*a^6*b^6 + 15*a^4*b^8 - 6*a^2*b
^10 + b^12)*d^4)))/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*d^2))*log(1/36*sqrt(2/3)*sqrt(1/2)*((4*a^12 + 3*a^11*b
+ a^10*b^2 - 3*a^9*b^3 - 26*a^8*b^4 - 9*a^7*b^5 + 32*a^6*b^6 + 15*a^5*b^7 - 10*a^4*b^8 - 6*a^3*b^9 - a^2*b^10
)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*a^4*b^2*d^2 +
3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*
d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^
2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3
- 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27*(-1/1458*b^2/(a^8*d^6 -
3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b
^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3
*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2
*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))^2*d^5
- 6*(a^10 + a^9*b + 71*a^8*b^2 + 50*a^7*b^3 + 267*a^6*b^4 + 141*a^5*b^5 + 140*a^4*b^6 + 50*a^3*b^7 + 7*a^2*b^
8 + a*b^9)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*a^4*
b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 -
a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a
^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b
^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27*(-1/1458*b^2/(
a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4
+ 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^
6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b
^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^
2))*d^3 - 36*(2*a^7*b + 18*a^6*b^2 + 6*a^5*b^3 + 63*a^4*b^4 - 9*a^3*b^5 + a*b^7)*d - 3*sqrt(1/3)*((4*a^12 + 3*
a^11*b + a^10*b^2 - 3*a^9*b^3 - 26*a^8*b^4 - 9*a^7*b^5 + 32*a^6*b^6 + 15*a^5*b^7 - 10*a^4*b^8 - 6*a^3*b^9 - a^
2*b^10)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*a^4*b^2
*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^
2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*
b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*
d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27*(-1/1458*b^2/(a^8
*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3
*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d
^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)
^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))
*d^5 + 6*(a^10 + a^9*b - a^8*b^2 - 4*a^7*b^3 - 3*a^6*b^4 + 6*a^5*b^5 + 5*a^4*b^6 - 4*a^3*b^7 - 2*a^2*b^8 + a*b
^9)*d^3)*sqrt((432*a^6*b^2 + 2592*a^4*b^4 + 5184*a^2*b^6 + 540*b^8 - (a^12 - 6*a^10*b^2 + 15*a^8*b^4 - 20*a^6*
b^6 + 15*a^4*b^8 - 6*a^2*b^10 + b^12)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2
+ b^4)^2/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^
6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^
4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*
b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6)
)^(1/3) + 27*(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2
/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1
/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a
^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d
^2 + 3*a^2*b^4*d^2 - b^6*d^2))^2*d^4 + 36*(2*a^8*b^2 - 5*a^6*b^4 + 3*a^4*b^6 + a^2*b^8 - b^10)*((b^2/(a^6*d^4
- 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 -
b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^
2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2
- b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 -
3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27*(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 +
3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)
*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*
a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I*s
qrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))*d^2)/((a^12 - 6*a^10*b
^2 + 15*a^8*b^4 - 20*a^6*b^6 + 15*a^4*b^8 - 6*a^2*b^10 + b^12)*d^4)))*sqrt(-(108*a^2*b^2 + 54*b^4 - (a^6 - 3*a
^4*b^2 + 3*a^2*b^4 - b^6)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a
^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 +
3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)
*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*
a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27
*(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 -
3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b
^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6
)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b
^4*d^2 - b^6*d^2))*d^2 - 3*sqrt(1/3)*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*d^2*sqrt((432*a^6*b^2 + 2592*a^4*b^4
+ 5184*a^2*b^6 + 540*b^8 - (a^12 - 6*a^10*b^2 + 15*a^8*b^4 - 20*a^6*b^6 + 15*a^4*b^8 - 6*a^2*b^10 + b^12)*((b^
2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2
*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) -
1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*
a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1
458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27*(-1/1458*b^2/(a^8*d^6 - 3*a^6
*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4
- b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b
^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))
^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))^2*d^4 + 36*
(2*a^8*b^2 - 5*a^6*b^4 + 3*a^4*b^6 + a^2*b^8 - b^10)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)
+ 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/
(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4
+ 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a
^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 -
b^2)^6*a^2*d^6))^(1/3) + 27*(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2
*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2
- b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3
*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^
2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))*d^2)/((a^12 - 6*a^10*b^2 + 15*a^8*b^4 - 20*a^6*b^6 + 15*a^4*b^8
- 6*a^2*b^10 + b^12)*d^4)))/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*d^2)) - 4*(a^6*b - 3*a^4*b^3 - 24*a^2*b^5 - b
^7)*cosh(d*x + c) - 4*(a^6*b - 3*a^4*b^3 - 24*a^2*b^5 - b^7)*sinh(d*x + c)) - sqrt(2/3)*sqrt(1/2)*((a^2 - b^2)
*d*cosh(d*x + c) + (a^2 - b^2)*d*sinh(d*x + c))*sqrt(-(108*a^2*b^2 + 54*b^4 - (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b
^6)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*a^4*b^2*d^2
+ 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^
6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*
d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)
^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27*(-1/1458*b^2/(a^8*d^6
- 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2
*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 -
3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a
^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))*d^2
- 3*sqrt(1/3)*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*d^2*sqrt((432*a^6*b^2 + 2592*a^4*b^4 + 5184*a^2*b^6 + 540*b
^8 - (a^12 - 6*a^10*b^2 + 15*a^8*b^4 - 20*a^6*b^6 + 15*a^4*b^8 - 6*a^2*b^10 + b^12)*((b^2/(a^6*d^4 - 3*a^4*b^2
*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)
*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4
)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)
) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 -
24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27*(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d
^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 -
3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2
- b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1)
+ 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))^2*d^4 + 36*(2*a^8*b^2 - 5*a^6*b^4
+ 3*a^4*b^6 + a^2*b^8 - b^10)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)
^2/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d
^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6
*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2
+ 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)
+ 27*(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*
d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*
a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4
- b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*
a^2*b^4*d^2 - b^6*d^2))*d^2)/((a^12 - 6*a^10*b^2 + 15*a^8*b^4 - 20*a^6*b^6 + 15*a^4*b^8 - 6*a^2*b^10 + b^12)*d
^4)))/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*d^2))*log(-1/36*sqrt(2/3)*sqrt(1/2)*((4*a^12 + 3*a^11*b + a^10*b^2
- 3*a^9*b^3 - 26*a^8*b^4 - 9*a^7*b^5 + 32*a^6*b^6 + 15*a^5*b^7 - 10*a^4*b^8 - 6*a^3*b^9 - a^2*b^10)*((b^2/(a^6
*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d
^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*
(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^
4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a
^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27*(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d
^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6
*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2
+ 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)
*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))^2*d^5 - 6*(a^10 +
a^9*b + 71*a^8*b^2 + 50*a^7*b^3 + 267*a^6*b^4 + 141*a^5*b^5 + 140*a^4*b^6 + 50*a^3*b^7 + 7*a^2*b^8 + a*b^9)*(
(b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*
a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6
) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 +
3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 -
1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27*(-1/1458*b^2/(a^8*d^6 - 3*
a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*
d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^
4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^
6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))*d^3 - 36
*(2*a^7*b + 18*a^6*b^2 + 6*a^5*b^3 + 63*a^4*b^4 - 9*a^3*b^5 + a*b^7)*d - 3*sqrt(1/3)*((4*a^12 + 3*a^11*b + a^1
0*b^2 - 3*a^9*b^3 - 26*a^8*b^4 - 9*a^7*b^5 + 32*a^6*b^6 + 15*a^5*b^7 - 10*a^4*b^8 - 6*a^3*b^9 - a^2*b^10)*((b^
2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2
*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) -
1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*
a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1
458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27*(-1/1458*b^2/(a^8*d^6 - 3*a^6
*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4
- b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b
^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))
^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))*d^5 + 6*(a^
10 + a^9*b - a^8*b^2 - 4*a^7*b^3 - 3*a^6*b^4 + 6*a^5*b^5 + 5*a^4*b^6 - 4*a^3*b^7 - 2*a^2*b^8 + a*b^9)*d^3)*sqr
t((432*a^6*b^2 + 2592*a^4*b^4 + 5184*a^2*b^6 + 540*b^8 - (a^12 - 6*a^10*b^2 + 15*a^8*b^4 - 20*a^6*b^6 + 15*a^4
*b^8 - 6*a^2*b^10 + b^12)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a
^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 +
3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)
*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*
a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27
*(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 -
3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b
^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6
)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b
^4*d^2 - b^6*d^2))^2*d^4 + 36*(2*a^8*b^2 - 5*a^6*b^4 + 3*a^4*b^6 + a^2*b^8 - b^10)*((b^2/(a^6*d^4 - 3*a^4*b^2*
d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*
(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)
*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))
- 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 -
24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27*(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^
6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 -
3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2
- b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1)
+ 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))*d^2)/((a^12 - 6*a^10*b^2 + 15*a^8*
b^4 - 20*a^6*b^6 + 15*a^4*b^8 - 6*a^2*b^10 + b^12)*d^4)))*sqrt(-(108*a^2*b^2 + 54*b^4 - (a^6 - 3*a^4*b^2 + 3*a
^2*b^4 - b^6)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*a
^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^
6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 -
3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2
- b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27*(-1/1458*b^
2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d
^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/
(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2
- b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6
*d^2))*d^2 - 3*sqrt(1/3)*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*d^2*sqrt((432*a^6*b^2 + 2592*a^4*b^4 + 5184*a^2*b
^6 + 540*b^8 - (a^12 - 6*a^10*b^2 + 15*a^8*b^4 - 20*a^6*b^6 + 15*a^4*b^8 - 6*a^2*b^10 + b^12)*((b^2/(a^6*d^4 -
3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b
^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2
*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2
- b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3
*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27*(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3
*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*
(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a
^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I*sq
rt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))^2*d^4 + 36*(2*a^8*b^2 -
5*a^6*b^4 + 3*a^4*b^6 + a^2*b^8 - b^10)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*
b^2 + b^4)^2/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3
*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4
*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a
^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d
^6))^(1/3) + 27*(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*
b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))
- 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 2
4*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^
2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))*d^2)/((a^12 - 6*a^10*b^2 + 15*a^8*b^4 - 20*a^6*b^6 + 15*a^4*b^8 - 6*a^2*b^10
+ b^12)*d^4)))/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*d^2)) - 4*(a^6*b - 3*a^4*b^3 - 24*a^2*b^5 - b^7)*cosh(d*x
+ c) - 4*(a^6*b - 3*a^4*b^3 - 24*a^2*b^5 - b^7)*sinh(d*x + c)) - 3*(a - b)*cosh(d*x + c)^2 - 6*(a - b)*cosh(d
*x + c)*sinh(d*x + c) - 3*(a - b)*sinh(d*x + c)^2 - 6*((a^2 - b^2)*d*cosh(d*x + c) + (a^2 - b^2)*d*sinh(d*x +
c))*sqrt(-1/54*(b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*a
^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^
6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 -
3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2
- b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) - 1/2*(-1/1458*b
^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*
d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3
/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2
- b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) - 1/3*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b
^6*d^2))*log(-2*(a^6*b - 3*a^4*b^3 - 24*a^2*b^5 - b^7)*cosh(d*x + c) - 2*(a^6*b - 3*a^4*b^3 - 24*a^2*b^5 - b^7
)*sinh(d*x + c) + 1/6*((4*a^12 + 3*a^11*b + a^10*b^2 - 3*a^9*b^3 - 26*a^8*b^4 - 9*a^7*b^5 + 32*a^6*b^6 + 15*a^
5*b^7 - 10*a^4*b^8 - 6*a^3*b^9 - a^2*b^10)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^
2*b^2 + b^4)^2/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 -
3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b
^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3
*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2
*d^6))^(1/3) + 27*(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4
)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)
) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 -
24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*
b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))^2*d^5 - 6*(a^10 + a^9*b + 71*a^8*b^2 + 50*a^7*b^3 + 267*a^6*b^4 + 141*a^5*
b^5 + 140*a^4*b^6 + 50*a^3*b^7 + 7*a^2*b^8 + a*b^9)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)
+ 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(
a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4
+ 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^
6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b
^2)^6*a^2*d^6))^(1/3) + 27*(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*
b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 -
b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*
a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2
- 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))*d^3 + 36*(a^7*b - 18*a^6*b^2 - 15*a^5*b^3 - 63*a^4*b^4 - 63*a^3*b
^5 - 4*a*b^7)*d)*sqrt(-1/54*(b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(
a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 +
3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4
)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3
*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) - 1
/2*(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4
- 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2
*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b
^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) - 1/3*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^
2*b^4*d^2 - b^6*d^2))) + 6*((a^2 - b^2)*d*cosh(d*x + c) + (a^2 - b^2)*d*sinh(d*x + c))*sqrt(-1/54*(b^2/(a^6*d^
4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2
- b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*
a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d
^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6
- 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) - 1/2*(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6
+ 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d
^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 +
3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(
I*sqrt(3) + 1) - 1/3*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))*log(-2*(a^6*b - 3*
a^4*b^3 - 24*a^2*b^5 - b^7)*cosh(d*x + c) - 2*(a^6*b - 3*a^4*b^3 - 24*a^2*b^5 - b^7)*sinh(d*x + c) - 1/6*((4*a
^12 + 3*a^11*b + a^10*b^2 - 3*a^9*b^3 - 26*a^8*b^4 - 9*a^7*b^5 + 32*a^6*b^6 + 15*a^5*b^7 - 10*a^4*b^8 - 6*a^3*
b^9 - a^2*b^10)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3
*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*
d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2
- 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^
2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27*(-1/1458*
b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2
*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^
3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^
2 - b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b
^6*d^2))^2*d^5 - 6*(a^10 + a^9*b + 71*a^8*b^2 + 50*a^7*b^3 + 267*a^6*b^4 + 141*a^5*b^5 + 140*a^4*b^6 + 50*a^3*
b^7 + 7*a^2*b^8 + a*b^9)*((b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^
6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3
*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*
(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a
^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) + 27*
(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 -
3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^
2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)
*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^
4*d^2 - b^6*d^2))*d^3 + 36*(a^7*b - 18*a^6*b^2 - 15*a^5*b^3 - 63*a^4*b^4 - 63*a^3*b^5 - 4*a*b^7)*d)*sqrt(-1/54
*(b^2/(a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4) + 3*(2*a^2*b^2 + b^4)^2/(a^6*d^2 - 3*a^4*b^2*d^2 + 3
*a^2*b^4*d^2 - b^6*d^2)^2)*(-I*sqrt(3) + 1)/(-1/1458*b^2/(a^8*d^6 - 3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^
6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2
+ 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 -
1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*d^6))^(1/3) - 1/2*(-1/1458*b^2/(a^8*d^6 -
3*a^6*b^2*d^6 + 3*a^4*b^4*d^6 - a^2*b^6*d^6) - 1/54*(2*a^2*b^2 + b^4)*b^2/((a^6*d^4 - 3*a^4*b^2*d^4 + 3*a^2*b^
4*d^4 - b^6*d^4)*(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)) - 1/27*(2*a^2*b^2 + b^4)^3/(a^6*d^2 - 3*
a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2)^3 - 1/1458*(a^6 - 3*a^4*b^2 - 24*a^2*b^4 - b^6)*b^2/((a^2 - b^2)^6*a^2*
d^6))^(1/3)*(I*sqrt(3) + 1) - 1/3*(2*a^2*b^2 + b^4)/(a^6*d^2 - 3*a^4*b^2*d^2 + 3*a^2*b^4*d^2 - b^6*d^2))) - 3*
a - 3*b)/((a^2 - b^2)*d*cosh(d*x + c) + (a^2 - b^2)*d*sinh(d*x + c))

Integral number [77] \[ \int \frac {\text {csch}(c+d x)}{a+b \tanh ^3(c+d x)} \, dx \]

[C]   time = 1.79301 (sec), size = 20085 ,normalized size = 956.43 \[ \text {Too large to display} \]

[In]

integrate(csch(d*x+c)/(a+b*tanh(d*x+c)^3),x, algorithm=""fricas"")

[Out]

-1/6*(sqrt(2/3)*sqrt(1/6)*a*d*sqrt(((a^4 - a^2*b^2)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d
^4))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^
2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/729*b^6/
(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6
- a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2*d^2))*d
^2 + 3*sqrt(1/3)*(a^4 - a^2*b^2)*d^2*sqrt(-((a^8 - 2*a^6*b^2 + a^4*b^4)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/
(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^
2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/
3) + 81*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) -
1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d
^2 - a^2*b^2*d^2))^2*d^4 - 1296*a^2*b^2 + 324*b^4 - 36*(a^4*b^2 - a^2*b^4)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b
^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4
*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^
(1/3) + 81*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2))
- 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^
4*d^2 - a^2*b^2*d^2))*d^2)/((a^8 - 2*a^6*b^2 + a^4*b^4)*d^4)) - 54*b^2)/((a^4 - a^2*b^2)*d^2))*log(1/324*sqrt(
2/3)*sqrt(1/6)*((a^6 - a^4*b^2)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1
)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458
*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d
^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1
458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2*d^2))^2*d^5 - 18*(a^4 + 2*a
^2*b^2)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 -
a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*
d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*
d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a
^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2*d^2))*d^3 - 324*(2*a*b + b^2)*d - 3*sqrt(1/3)*((a^6
- a^4*b^2)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d
^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*
b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((
a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)
^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2*d^2))*d^5 + 18*(a^4 - a^2*b^2)*d^3)*sqrt(-((a^8
- 2*a^6*b^2 + a^4*b^4)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1/72
9*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^
8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 -
1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/
((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2*d^2))^2*d^4 - 1296*a^2*b^2 + 324*b^
4 - 36*(a^4*b^2 - a^2*b^4)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1
/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/
(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3
- 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b
^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2*d^2))*d^2)/((a^8 - 2*a^6*b^2 + a
^4*b^4)*d^4)))*sqrt(((a^4 - a^2*b^2)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3
) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1
/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/729*b^6/(a^4*d^2 - a^2*
b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6)
+ 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2*d^2))*d^2 + 3*sqrt(1/3
)*(a^4 - a^2*b^2)*d^2*sqrt(-((a^8 - 2*a^6*b^2 + a^4*b^4)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*
b^2*d^4))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2
- a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/729
*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8
*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2*d^
2))^2*d^4 - 1296*a^2*b^2 + 324*b^4 - 36*(a^4*b^2 - a^2*b^4)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a
^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*
d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/
729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(
a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2
*d^2))*d^2)/((a^8 - 2*a^6*b^2 + a^4*b^4)*d^4)) - 54*b^2)/((a^4 - a^2*b^2)*d^2)) + 4*b*cosh(d*x + c) + 4*b*sinh
(d*x + c)) - sqrt(2/3)*sqrt(1/6)*a*d*sqrt(((a^4 - a^2*b^2)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^
4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d
^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/7
29*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a
^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2*
d^2))*d^2 + 3*sqrt(1/3)*(a^4 - a^2*b^2)*d^2*sqrt(-((a^8 - 2*a^6*b^2 + a^4*b^4)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2
+ b^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 -
a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^
6))^(1/3) + 81*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d
^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2
/(a^4*d^2 - a^2*b^2*d^2))^2*d^4 - 1296*a^2*b^2 + 324*b^4 - 36*(a^4*b^2 - a^2*b^4)*((b^4/(a^4*d^2 - a^2*b^2*d^2
)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^
4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4
*d^6))^(1/3) + 81*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^
2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*
b^2/(a^4*d^2 - a^2*b^2*d^2))*d^2)/((a^8 - 2*a^6*b^2 + a^4*b^4)*d^4)) - 54*b^2)/((a^4 - a^2*b^2)*d^2))*log(-1/3
24*sqrt(2/3)*sqrt(1/6)*((a^6 - a^4*b^2)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqr
t(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2))
- 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/729*b^6/(a^4*d^2 - a
^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^
6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2*d^2))^2*d^5 - 18*(a
^4 + 2*a^2*b^2)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a
^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 -
a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^
4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 -
b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2*d^2))*d^3 - 324*(2*a*b + b^2)*d - 3*sqrt(1/
3)*((a^6 - a^4*b^2)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1/729*b^
6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^
6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/48
6*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^
2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2*d^2))*d^5 + 18*(a^4 - a^2*b^2)*d^3)*sqr
t(-((a^8 - 2*a^6*b^2 + a^4*b^4)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1
)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458
*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d
^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1
458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2*d^2))^2*d^4 - 1296*a^2*b^2
+ 324*b^4 - 36*(a^4*b^2 - a^2*b^4)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3)
+ 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1
458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/729*b^6/(a^4*d^2 - a^2*b^
2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) +
1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2*d^2))*d^2)/((a^8 - 2*a^6
*b^2 + a^4*b^4)*d^4)))*sqrt(((a^4 - a^2*b^2)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*(-
I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d
^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/729*b^6/(a^4*d^
2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b
^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2*d^2))*d^2 + 3*
sqrt(1/3)*(a^4 - a^2*b^2)*d^2*sqrt(-((a^8 - 2*a^6*b^2 + a^4*b^4)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^
4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*
(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) + 81
*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*
b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 - a^
2*b^2*d^2))^2*d^4 - 1296*a^2*b^2 + 324*b^4 - 36*(a^4*b^2 - a^2*b^4)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6
*d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^
4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) +
81*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/14
58*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 -
a^2*b^2*d^2))*d^2)/((a^8 - 2*a^6*b^2 + a^4*b^4)*d^4)) - 54*b^2)/((a^4 - a^2*b^2)*d^2)) + 4*b*cosh(d*x + c) +
4*b*sinh(d*x + c)) + sqrt(2/3)*sqrt(1/6)*a*d*sqrt(((a^4 - a^2*b^2)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*
d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4
)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) +
81*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/145
8*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 -
a^2*b^2*d^2))*d^2 - 3*sqrt(1/3)*(a^4 - a^2*b^2)*d^2*sqrt(-((a^8 - 2*a^6*b^2 + a^4*b^4)*((b^4/(a^4*d^2 - a^2*b^
2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a
^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^
2*a^4*d^6))^(1/3) + 81*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a
^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1)
+ 18*b^2/(a^4*d^2 - a^2*b^2*d^2))^2*d^4 - 1296*a^2*b^2 + 324*b^4 - 36*(a^4*b^2 - a^2*b^4)*((b^4/(a^4*d^2 - a^2
*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/
((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^
2)^2*a^4*d^6))^(1/3) + 81*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2
- a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) +
1) + 18*b^2/(a^4*d^2 - a^2*b^2*d^2))*d^2)/((a^8 - 2*a^6*b^2 + a^4*b^4)*d^4)) - 54*b^2)/((a^4 - a^2*b^2)*d^2))*
log(1/324*sqrt(2/3)*sqrt(1/6)*((a^6 - a^4*b^2)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*
(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2
*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/729*b^6/(a^4*
d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6
*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2*d^2))^2*d^5
- 18*(a^4 + 2*a^2*b^2)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1/729
*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8
*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1
/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/(
(a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2*d^2))*d^3 - 324*(2*a*b + b^2)*d + 3*
sqrt(1/3)*((a^6 - a^4*b^2)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1
/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/
(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3
- 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b
^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2*d^2))*d^5 + 18*(a^4 - a^2*b^2)*d
^3)*sqrt(-((a^8 - 2*a^6*b^2 + a^4*b^4)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt
(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) -
1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/729*b^6/(a^4*d^2 - a^
2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6
) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2*d^2))^2*d^4 - 1296*a
^2*b^2 + 324*b^4 - 36*(a^4*b^2 - a^2*b^4)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*s
qrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)
) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/729*b^6/(a^4*d^2 -
a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*
d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2*d^2))*d^2)/((a^8
- 2*a^6*b^2 + a^4*b^4)*d^4)))*sqrt(((a^4 - a^2*b^2)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d
^4))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^
2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/729*b^6/
(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6
- a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2*d^2))*d
^2 - 3*sqrt(1/3)*(a^4 - a^2*b^2)*d^2*sqrt(-((a^8 - 2*a^6*b^2 + a^4*b^4)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/
(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^
2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/
3) + 81*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) -
1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d
^2 - a^2*b^2*d^2))^2*d^4 - 1296*a^2*b^2 + 324*b^4 - 36*(a^4*b^2 - a^2*b^4)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b
^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4
*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^
(1/3) + 81*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2))
- 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^
4*d^2 - a^2*b^2*d^2))*d^2)/((a^8 - 2*a^6*b^2 + a^4*b^4)*d^4)) - 54*b^2)/((a^4 - a^2*b^2)*d^2)) + 4*b*cosh(d*x
+ c) + 4*b*sinh(d*x + c)) - sqrt(2/3)*sqrt(1/6)*a*d*sqrt(((a^4 - a^2*b^2)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^
2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*
b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(
1/3) + 81*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2))
- 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4
*d^2 - a^2*b^2*d^2))*d^2 - 3*sqrt(1/3)*(a^4 - a^2*b^2)*d^2*sqrt(-((a^8 - 2*a^6*b^2 + a^4*b^4)*((b^4/(a^4*d^2 -
a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*
b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2
- b^2)^2*a^4*d^6))^(1/3) + 81*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*
d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3
) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2*d^2))^2*d^4 - 1296*a^2*b^2 + 324*b^4 - 36*(a^4*b^2 - a^2*b^4)*((b^4/(a^4*d^
2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/4
86*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a
^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a
^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqr
t(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2*d^2))*d^2)/((a^8 - 2*a^6*b^2 + a^4*b^4)*d^4)) - 54*b^2)/((a^4 - a^2*b^2)
*d^2))*log(-1/324*sqrt(2/3)*sqrt(1/6)*((a^6 - a^4*b^2)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^
2*d^4))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 -
a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/729*b
^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d
^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2*d^2)
)^2*d^5 - 18*(a^4 + 2*a^2*b^2)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1)
/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*
b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^
2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/14
58*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2*d^2))*d^3 - 324*(2*a*b + b^2
)*d + 3*sqrt(1/3)*((a^6 - a^4*b^2)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3)
+ 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1
458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/729*b^6/(a^4*d^2 - a^2*b^
2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) +
1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2*d^2))*d^5 + 18*(a^4 - a^
2*b^2)*d^3)*sqrt(-((a^8 - 2*a^6*b^2 + a^4*b^4)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*
(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2
*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/729*b^6/(a^4*
d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6
*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2*d^2))^2*d^4
- 1296*a^2*b^2 + 324*b^4 - 36*(a^4*b^2 - a^2*b^4)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4
))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*
b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/729*b^6/(a
^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 -
a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2*d^2))*d^2
)/((a^8 - 2*a^6*b^2 + a^4*b^4)*d^4)))*sqrt(((a^4 - a^2*b^2)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a
^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*
d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/
729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(
a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2
*d^2))*d^2 - 3*sqrt(1/3)*(a^4 - a^2*b^2)*d^2*sqrt(-((a^8 - 2*a^6*b^2 + a^4*b^4)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^
2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4
- a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d
^6))^(1/3) + 81*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*
d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^
2/(a^4*d^2 - a^2*b^2*d^2))^2*d^4 - 1296*a^2*b^2 + 324*b^4 - 36*(a^4*b^2 - a^2*b^4)*((b^4/(a^4*d^2 - a^2*b^2*d^
2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d
^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^
4*d^6))^(1/3) + 81*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b
^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18
*b^2/(a^4*d^2 - a^2*b^2*d^2))*d^2)/((a^8 - 2*a^6*b^2 + a^4*b^4)*d^4)) - 54*b^2)/((a^4 - a^2*b^2)*d^2)) + 4*b*c
osh(d*x + c) + 4*b*sinh(d*x + c)) - 6*sqrt(-1/162*(b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4)
)*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b
^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) - 1/2*(-1/729*b^6/(a
^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 -
a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) - 1/9*b^2/(a^4*d^2 - a^2*b^2*d^2))*a*
d*log(2*b*cosh(d*x + c) + 2*b*sinh(d*x + c) + 1/54*((a^6 - a^4*b^2)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6
*d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^
4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) +
81*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/14
58*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 -
a^2*b^2*d^2))^2*d^5 - 18*(a^4 + 2*a^2*b^2)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*(-I
*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^
2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/729*b^6/(a^4*d^2
- a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^
2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2*d^2))*d^3 + 324
*(a*b - b^2)*d)*sqrt(-1/162*(b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1
/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/
(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) - 1/2*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^
3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*
b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) - 1/9*b^2/(a^4*d^2 - a^2*b^2*d^2))) + 6*sqrt(-1/162*(b^4/(a
^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3
- 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^
2/((a^2 - b^2)^2*a^4*d^6))^(1/3) - 1/2*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d
^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*
(I*sqrt(3) + 1) - 1/9*b^2/(a^4*d^2 - a^2*b^2*d^2))*a*d*log(2*b*cosh(d*x + c) + 2*b*sinh(d*x + c) - 1/54*((a^6
- a^4*b^2)*((b^4/(a^4*d^2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^
2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b
^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a
^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^
2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2*d^2))^2*d^5 - 18*(a^4 + 2*a^2*b^2)*((b^4/(a^4*d^
2 - a^2*b^2*d^2)^2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/4
86*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a
^2 - b^2)^2*a^4*d^6))^(1/3) + 81*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a
^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqr
t(3) + 1) + 18*b^2/(a^4*d^2 - a^2*b^2*d^2))*d^3 + 324*(a*b - b^2)*d)*sqrt(-1/162*(b^4/(a^4*d^2 - a^2*b^2*d^2)^
2 + b^2/(a^6*d^4 - a^4*b^2*d^4))*(-I*sqrt(3) + 1)/(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4
- a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d
^6))^(1/3) - 1/2*(-1/729*b^6/(a^4*d^2 - a^2*b^2*d^2)^3 - 1/486*b^4/((a^6*d^4 - a^4*b^2*d^4)*(a^4*d^2 - a^2*b^2
*d^2)) - 1/1458*b^2/(a^8*d^6 - a^6*b^2*d^6) + 1/1458*b^2/((a^2 - b^2)^2*a^4*d^6))^(1/3)*(I*sqrt(3) + 1) - 1/9*
b^2/(a^4*d^2 - a^2*b^2*d^2))) + 6*log(cosh(d*x + c) + sinh(d*x + c) + 1) - 6*log(cosh(d*x + c) + sinh(d*x + c)
- 1))/(a*d)

Integral number [79] \[ \int \frac {\text {csch}^3(c+d x)}{a+b \tanh ^3(c+d x)} \, dx \]

[C]   time = 3.06802 (sec), size = 6846 ,normalized size = 297.65 \[ \text {Too large to display} \]

[In]

integrate(csch(d*x+c)^3/(a+b*tanh(d*x+c)^3),x, algorithm=""fricas"")

[Out]

-1/6*(6*cosh(d*x + c)^3 + 18*cosh(d*x + c)*sinh(d*x + c)^2 + 6*sinh(d*x + c)^3 + (a*d*cosh(d*x + c)^4 + 4*a*d*
cosh(d*x + c)*sinh(d*x + c)^3 + a*d*sinh(d*x + c)^4 - 2*a*d*cosh(d*x + c)^2 + 2*(3*a*d*cosh(d*x + c)^2 - a*d)*
sinh(d*x + c)^2 + a*d + 4*(a*d*cosh(d*x + c)^3 - a*d*cosh(d*x + c))*sinh(d*x + c))*sqrt((1/2)^(1/3)*(I*sqrt(3)
+ 1)*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3) + 3*sqrt(1/3)*sqrt(-(((1/2)^(1/3)*(I*sqr
t(3) + 1)*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3) - 2*(1/2)^(2/3)*b^2*(-I*sqrt(3) + 1)
/(a^6*d^4*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3)))^2*a^6*d^4 + 16*b^2)/(a^6*d^4)) - 2
*(1/2)^(2/3)*b^2*(-I*sqrt(3) + 1)/(a^6*d^4*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3)))*l
og(4*(a^3*b + a^2*b^2 + a*b^3 + b^4)*cosh(d*x + c) + 4*(a^3*b + a^2*b^2 + a*b^3 + b^4)*sinh(d*x + c) + 1/2*(((
1/2)^(1/3)*(I*sqrt(3) + 1)*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3) - 2*(1/2)^(2/3)*b^2
*(-I*sqrt(3) + 1)/(a^6*d^4*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3)))^2*a^9*d^5 + (a^7
- a^5*b^2)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3) - 2*(1
/2)^(2/3)*b^2*(-I*sqrt(3) + 1)/(a^6*d^4*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3)))*d^3
+ 4*(a^4*b + 2*a^3*b^2 + a^2*b^3)*d - 3*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((a^2 + b^2)*b^2/(a^10*d^6) -
(a^2*b^2 - b^4)/(a^10*d^6))^(1/3) - 2*(1/2)^(2/3)*b^2*(-I*sqrt(3) + 1)/(a^6*d^4*((a^2 + b^2)*b^2/(a^10*d^6) -
(a^2*b^2 - b^4)/(a^10*d^6))^(1/3)))*a^9*d^5 - (a^7 - a^5*b^2)*d^3)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((a^2 +
b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3) - 2*(1/2)^(2/3)*b^2*(-I*sqrt(3) + 1)/(a^6*d^4*((a^2 +
b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3)))^2*a^6*d^4 + 16*b^2)/(a^6*d^4)))*sqrt((1/2)^(1/3)*(I
*sqrt(3) + 1)*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3) + 3*sqrt(1/3)*sqrt(-(((1/2)^(1/3
)*(I*sqrt(3) + 1)*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3) - 2*(1/2)^(2/3)*b^2*(-I*sqrt
(3) + 1)/(a^6*d^4*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3)))^2*a^6*d^4 + 16*b^2)/(a^6*d
^4)) - 2*(1/2)^(2/3)*b^2*(-I*sqrt(3) + 1)/(a^6*d^4*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(
1/3)))) - (a*d*cosh(d*x + c)^4 + 4*a*d*cosh(d*x + c)*sinh(d*x + c)^3 + a*d*sinh(d*x + c)^4 - 2*a*d*cosh(d*x +
c)^2 + 2*(3*a*d*cosh(d*x + c)^2 - a*d)*sinh(d*x + c)^2 + a*d + 4*(a*d*cosh(d*x + c)^3 - a*d*cosh(d*x + c))*sin
h(d*x + c))*sqrt((1/2)^(1/3)*(I*sqrt(3) + 1)*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3) +
3*sqrt(1/3)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/
3) - 2*(1/2)^(2/3)*b^2*(-I*sqrt(3) + 1)/(a^6*d^4*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/
3)))^2*a^6*d^4 + 16*b^2)/(a^6*d^4)) - 2*(1/2)^(2/3)*b^2*(-I*sqrt(3) + 1)/(a^6*d^4*((a^2 + b^2)*b^2/(a^10*d^6)
- (a^2*b^2 - b^4)/(a^10*d^6))^(1/3)))*log(4*(a^3*b + a^2*b^2 + a*b^3 + b^4)*cosh(d*x + c) + 4*(a^3*b + a^2*b^2
+ a*b^3 + b^4)*sinh(d*x + c) - 1/2*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4
)/(a^10*d^6))^(1/3) - 2*(1/2)^(2/3)*b^2*(-I*sqrt(3) + 1)/(a^6*d^4*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4
)/(a^10*d^6))^(1/3)))^2*a^9*d^5 + (a^7 - a^5*b^2)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((a^2 + b^2)*b^2/(a^10*d^6) - (
a^2*b^2 - b^4)/(a^10*d^6))^(1/3) - 2*(1/2)^(2/3)*b^2*(-I*sqrt(3) + 1)/(a^6*d^4*((a^2 + b^2)*b^2/(a^10*d^6) - (
a^2*b^2 - b^4)/(a^10*d^6))^(1/3)))*d^3 + 4*(a^4*b + 2*a^3*b^2 + a^2*b^3)*d - 3*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt
(3) + 1)*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3) - 2*(1/2)^(2/3)*b^2*(-I*sqrt(3) + 1)/
(a^6*d^4*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3)))*a^9*d^5 - (a^7 - a^5*b^2)*d^3)*sqrt
(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3) - 2*(1/2)^(2/3
)*b^2*(-I*sqrt(3) + 1)/(a^6*d^4*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3)))^2*a^6*d^4 +
16*b^2)/(a^6*d^4)))*sqrt((1/2)^(1/3)*(I*sqrt(3) + 1)*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))
^(1/3) + 3*sqrt(1/3)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d
^6))^(1/3) - 2*(1/2)^(2/3)*b^2*(-I*sqrt(3) + 1)/(a^6*d^4*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d
^6))^(1/3)))^2*a^6*d^4 + 16*b^2)/(a^6*d^4)) - 2*(1/2)^(2/3)*b^2*(-I*sqrt(3) + 1)/(a^6*d^4*((a^2 + b^2)*b^2/(a^
10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3)))) + (a*d*cosh(d*x + c)^4 + 4*a*d*cosh(d*x + c)*sinh(d*x + c)^3 +
a*d*sinh(d*x + c)^4 - 2*a*d*cosh(d*x + c)^2 + 2*(3*a*d*cosh(d*x + c)^2 - a*d)*sinh(d*x + c)^2 + a*d + 4*(a*d*c
osh(d*x + c)^3 - a*d*cosh(d*x + c))*sinh(d*x + c))*sqrt((1/2)^(1/3)*(I*sqrt(3) + 1)*((a^2 + b^2)*b^2/(a^10*d^6
) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3) - 3*sqrt(1/3)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((a^2 + b^2)*b^2/(a^10
*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3) - 2*(1/2)^(2/3)*b^2*(-I*sqrt(3) + 1)/(a^6*d^4*((a^2 + b^2)*b^2/(a^10
*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3)))^2*a^6*d^4 + 16*b^2)/(a^6*d^4)) - 2*(1/2)^(2/3)*b^2*(-I*sqrt(3) + 1
)/(a^6*d^4*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3)))*log(4*(a^3*b + a^2*b^2 + a*b^3 +
b^4)*cosh(d*x + c) + 4*(a^3*b + a^2*b^2 + a*b^3 + b^4)*sinh(d*x + c) + 1/2*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((a^2
+ b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3) - 2*(1/2)^(2/3)*b^2*(-I*sqrt(3) + 1)/(a^6*d^4*((a^2
+ b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3)))^2*a^9*d^5 + (a^7 - a^5*b^2)*((1/2)^(1/3)*(I*sqrt(
3) + 1)*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3) - 2*(1/2)^(2/3)*b^2*(-I*sqrt(3) + 1)/(
a^6*d^4*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3)))*d^3 + 4*(a^4*b + 2*a^3*b^2 + a^2*b^3
)*d + 3*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3
) - 2*(1/2)^(2/3)*b^2*(-I*sqrt(3) + 1)/(a^6*d^4*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3
)))*a^9*d^5 - (a^7 - a^5*b^2)*d^3)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2
- b^4)/(a^10*d^6))^(1/3) - 2*(1/2)^(2/3)*b^2*(-I*sqrt(3) + 1)/(a^6*d^4*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2
- b^4)/(a^10*d^6))^(1/3)))^2*a^6*d^4 + 16*b^2)/(a^6*d^4)))*sqrt((1/2)^(1/3)*(I*sqrt(3) + 1)*((a^2 + b^2)*b^2/(
a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3) - 3*sqrt(1/3)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((a^2 + b^2)*b
^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3) - 2*(1/2)^(2/3)*b^2*(-I*sqrt(3) + 1)/(a^6*d^4*((a^2 + b^2)*b
^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3)))^2*a^6*d^4 + 16*b^2)/(a^6*d^4)) - 2*(1/2)^(2/3)*b^2*(-I*sqr
t(3) + 1)/(a^6*d^4*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3)))) - (a*d*cosh(d*x + c)^4 +
4*a*d*cosh(d*x + c)*sinh(d*x + c)^3 + a*d*sinh(d*x + c)^4 - 2*a*d*cosh(d*x + c)^2 + 2*(3*a*d*cosh(d*x + c)^2
- a*d)*sinh(d*x + c)^2 + a*d + 4*(a*d*cosh(d*x + c)^3 - a*d*cosh(d*x + c))*sinh(d*x + c))*sqrt((1/2)^(1/3)*(I*
sqrt(3) + 1)*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3) - 3*sqrt(1/3)*sqrt(-(((1/2)^(1/3)
*(I*sqrt(3) + 1)*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3) - 2*(1/2)^(2/3)*b^2*(-I*sqrt(
3) + 1)/(a^6*d^4*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3)))^2*a^6*d^4 + 16*b^2)/(a^6*d^
4)) - 2*(1/2)^(2/3)*b^2*(-I*sqrt(3) + 1)/(a^6*d^4*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1
/3)))*log(4*(a^3*b + a^2*b^2 + a*b^3 + b^4)*cosh(d*x + c) + 4*(a^3*b + a^2*b^2 + a*b^3 + b^4)*sinh(d*x + c) -
1/2*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3) - 2*(1/2)^(2
/3)*b^2*(-I*sqrt(3) + 1)/(a^6*d^4*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3)))^2*a^9*d^5
+ (a^7 - a^5*b^2)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3)
- 2*(1/2)^(2/3)*b^2*(-I*sqrt(3) + 1)/(a^6*d^4*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3)
))*d^3 + 4*(a^4*b + 2*a^3*b^2 + a^2*b^3)*d + 3*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((a^2 + b^2)*b^2/(a^10*
d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3) - 2*(1/2)^(2/3)*b^2*(-I*sqrt(3) + 1)/(a^6*d^4*((a^2 + b^2)*b^2/(a^10*
d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3)))*a^9*d^5 - (a^7 - a^5*b^2)*d^3)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*
((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3) - 2*(1/2)^(2/3)*b^2*(-I*sqrt(3) + 1)/(a^6*d^4*
((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3)))^2*a^6*d^4 + 16*b^2)/(a^6*d^4)))*sqrt((1/2)^(
1/3)*(I*sqrt(3) + 1)*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3) - 3*sqrt(1/3)*sqrt(-(((1/
2)^(1/3)*(I*sqrt(3) + 1)*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3) - 2*(1/2)^(2/3)*b^2*(
-I*sqrt(3) + 1)/(a^6*d^4*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3)))^2*a^6*d^4 + 16*b^2)
/(a^6*d^4)) - 2*(1/2)^(2/3)*b^2*(-I*sqrt(3) + 1)/(a^6*d^4*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*
d^6))^(1/3)))) - 6*(a*d*cosh(d*x + c)^4 + 4*a*d*cosh(d*x + c)*sinh(d*x + c)^3 + a*d*sinh(d*x + c)^4 - 2*a*d*co
sh(d*x + c)^2 + 2*(3*a*d*cosh(d*x + c)^2 - a*d)*sinh(d*x + c)^2 + a*d + 4*(a*d*cosh(d*x + c)^3 - a*d*cosh(d*x
+ c))*sinh(d*x + c))*sqrt(-1/18*(1/2)^(1/3)*(I*sqrt(3) + 1)*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^1
0*d^6))^(1/3) + 1/9*(1/2)^(2/3)*b^2*(-I*sqrt(3) + 1)/(a^6*d^4*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a
^10*d^6))^(1/3)))*log(2*(a^3*b + a^2*b^2 + a*b^3 + b^4)*cosh(d*x + c) + 2*(a^3*b + a^2*b^2 + a*b^3 + b^4)*sinh
(d*x + c) + 3*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3) -
2*(1/2)^(2/3)*b^2*(-I*sqrt(3) + 1)/(a^6*d^4*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3)))^
2*a^9*d^5 + (a^7 - a^5*b^2)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d
^6))^(1/3) - 2*(1/2)^(2/3)*b^2*(-I*sqrt(3) + 1)/(a^6*d^4*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d
^6))^(1/3)))*d^3 - 2*(a^4*b - 4*a^3*b^2 + a^2*b^3)*d)*sqrt(-1/18*(1/2)^(1/3)*(I*sqrt(3) + 1)*((a^2 + b^2)*b^2/
(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3) + 1/9*(1/2)^(2/3)*b^2*(-I*sqrt(3) + 1)/(a^6*d^4*((a^2 + b^2)*b^
2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3)))) + 6*(a*d*cosh(d*x + c)^4 + 4*a*d*cosh(d*x + c)*sinh(d*x +
c)^3 + a*d*sinh(d*x + c)^4 - 2*a*d*cosh(d*x + c)^2 + 2*(3*a*d*cosh(d*x + c)^2 - a*d)*sinh(d*x + c)^2 + a*d + 4
*(a*d*cosh(d*x + c)^3 - a*d*cosh(d*x + c))*sinh(d*x + c))*sqrt(-1/18*(1/2)^(1/3)*(I*sqrt(3) + 1)*((a^2 + b^2)*
b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3) + 1/9*(1/2)^(2/3)*b^2*(-I*sqrt(3) + 1)/(a^6*d^4*((a^2 + b^2
)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3)))*log(2*(a^3*b + a^2*b^2 + a*b^3 + b^4)*cosh(d*x + c) + 2
*(a^3*b + a^2*b^2 + a*b^3 + b^4)*sinh(d*x + c) - 3*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((a^2 + b^2)*b^2/(a^10*d^6) -
(a^2*b^2 - b^4)/(a^10*d^6))^(1/3) - 2*(1/2)^(2/3)*b^2*(-I*sqrt(3) + 1)/(a^6*d^4*((a^2 + b^2)*b^2/(a^10*d^6) -
(a^2*b^2 - b^4)/(a^10*d^6))^(1/3)))^2*a^9*d^5 + (a^7 - a^5*b^2)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((a^2 + b^2)*b^2
/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3) - 2*(1/2)^(2/3)*b^2*(-I*sqrt(3) + 1)/(a^6*d^4*((a^2 + b^2)*b^2
/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3)))*d^3 - 2*(a^4*b - 4*a^3*b^2 + a^2*b^3)*d)*sqrt(-1/18*(1/2)^(1
/3)*(I*sqrt(3) + 1)*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3) + 1/9*(1/2)^(2/3)*b^2*(-I*
sqrt(3) + 1)/(a^6*d^4*((a^2 + b^2)*b^2/(a^10*d^6) - (a^2*b^2 - b^4)/(a^10*d^6))^(1/3)))) - 3*(cosh(d*x + c)^4
+ 4*cosh(d*x + c)*sinh(d*x + c)^3 + sinh(d*x + c)^4 + 2*(3*cosh(d*x + c)^2 - 1)*sinh(d*x + c)^2 - 2*cosh(d*x +
c)^2 + 4*(cosh(d*x + c)^3 - cosh(d*x + c))*sinh(d*x + c) + 1)*log(cosh(d*x + c) + sinh(d*x + c) + 1) + 3*(cos
h(d*x + c)^4 + 4*cosh(d*x + c)*sinh(d*x + c)^3 + sinh(d*x + c)^4 + 2*(3*cosh(d*x + c)^2 - 1)*sinh(d*x + c)^2 -
2*cosh(d*x + c)^2 + 4*(cosh(d*x + c)^3 - cosh(d*x + c))*sinh(d*x + c) + 1)*log(cosh(d*x + c) + sinh(d*x + c)
- 1) + 6*(3*cosh(d*x + c)^2 + 1)*sinh(d*x + c) + 6*cosh(d*x + c))/(a*d*cosh(d*x + c)^4 + 4*a*d*cosh(d*x + c)*s
inh(d*x + c)^3 + a*d*sinh(d*x + c)^4 - 2*a*d*cosh(d*x + c)^2 + 2*(3*a*d*cosh(d*x + c)^2 - a*d)*sinh(d*x + c)^2
+ a*d + 4*(a*d*cosh(d*x + c)^3 - a*d*cosh(d*x + c))*sinh(d*x + c))

Mupad

Integral number [76] \[ \int \frac {\sinh (c+d x)}{a+b \tanh ^3(c+d x)} \, dx \]

[B]   time = 85.6328 (sec), size = -1 ,normalized size = -0.05 \[ \text {Too large to display} \]

[In]

int(sinh(c + d*x)/(a + b*tanh(c + d*x)^3),x)

[Out]

exp(- c - d*x)/(2*(a*d - b*d)) + symsum(log((81920*a^2*b^5*exp(d*x)*exp(root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b
^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d
^2*z^2 - b^2, z, k)) + 221184*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8
*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^3*a^2*b^8*d^3 - 353894
4*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*
z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^3*a^3*b^7*d^3 + 1990656*root(2187*a^6*b^2*d^6*z^6
- 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 +
81*a^2*b^2*d^2*z^2 - b^2, z, k)^3*a^4*b^6*d^3 + 3538944*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729
*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z,
k)^3*a^5*b^5*d^3 - 2211840*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d
^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^3*a^6*b^4*d^3 + 7962624*
root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^
4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^5*a^3*b^9*d^5 + 15925248*root(2187*a^6*b^2*d^6*z^6 -
2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 8
1*a^2*b^2*d^2*z^2 - b^2, z, k)^5*a^4*b^8*d^5 - 7962624*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*
a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z,
k)^5*a^5*b^7*d^5 - 31850496*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d
^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^5*a^6*b^6*d^5 - 7962624*
root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^
4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^5*a^7*b^5*d^5 + 15925248*root(2187*a^6*b^2*d^6*z^6 -
2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 8
1*a^2*b^2*d^2*z^2 - b^2, z, k)^5*a^8*b^4*d^5 + 7962624*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*
a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z,
k)^5*a^9*b^3*d^5 + 98304*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*
z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)*a^2*b^6*d - 98304*root(2187
*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a
^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)*a^3*b^5*d + 24576*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^
6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^
2 - b^2, z, k)*a^4*b^4*d + 8192*a*b^6*exp(d*x)*exp(root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*
b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k))
+ 368640*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b
^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^2*a^2*b^7*d^2*exp(d*x)*exp(root(2187*a^6*b^
2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*
d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)) - 2285568*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^
2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)
^2*a^3*b^6*d^2*exp(d*x)*exp(root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d
^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)) - 5013504*root(2187*a^6
*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b
^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^2*a^4*b^5*d^2*exp(d*x)*exp(root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b
^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d
^2*z^2 - b^2, z, k)) - 368640*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8
*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^2*a^5*b^4*d^2*exp(d*x)
*exp(root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d
^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)) + 8626176*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4
*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2
*d^2*z^2 - b^2, z, k)^4*a^3*b^8*d^4*exp(d*x)*exp(root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^
6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)) +
40476672*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b
^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^4*a^4*b^7*d^4*exp(d*x)*exp(root(2187*a^6*b^
2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*
d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)) + 70336512*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a
^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k
)^4*a^5*b^6*d^4*exp(d*x)*exp(root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*
d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)) + 54411264*root(2187*a
^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2
*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^4*a^6*b^5*d^4*exp(d*x)*exp(root(2187*a^6*b^2*d^6*z^6 - 2187*a^4
*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2
*d^2*z^2 - b^2, z, k)) + 16588800*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729
*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^4*a^7*b^4*d^4*exp(
d*x)*exp(root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b
^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)) + 663552*root(2187*a^6*b^2*d^6*z^6 - 2187*
a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*
b^2*d^2*z^2 - b^2, z, k)^4*a^8*b^3*d^4*exp(d*x)*exp(root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2
*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k))
)/(10*a*b^11 - 10*a^11*b - a^12 + b^12 + 44*a^2*b^10 + 110*a^3*b^9 + 165*a^4*b^8 + 132*a^5*b^7 - 132*a^7*b^5 -
165*a^8*b^4 - 110*a^9*b^3 - 44*a^10*b^2))*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*
z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k), k, 1, 6)
+ exp(c + d*x)/(2*(a*d + b*d))

Integral number [77] \[ \int \frac {\text {csch}(c+d x)}{a+b \tanh ^3(c+d x)} \, dx \]

[B]   time = 15.5781 (sec), size = -1 ,normalized size = -0.05 \[ \text {Too large to display} \]

[In]

int(1/(sinh(c + d*x)*(a + b*tanh(c + d*x)^3)),x)

[Out]

symsum(log(-(1409286144*b^6*exp(d*x)*exp(root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27
*a^2*b^2*d^2*z^2 - b^2, z, k)) + 134217728*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 +
27*a^2*b^2*d^2*z^2 - b^2, z, k)*b^7*d + 1879048192*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^
4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)*a*b^6*d - 2818572288*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*
a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^3*a^2*b^7*d^3 - 40869298176*root(729*a^6*b^2*d^6*z^6 - 729*a
^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^3*a^3*b^6*d^3 + 28185722880*root(729*a^6*b^
2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^3*a^4*b^5*d^3 + 1550214758
4*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^3*a^5*b^4
*d^3 + 18119393280*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2
, z, k)^5*a^4*b^7*d^5 + 235552112640*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2
*b^2*d^2*z^2 - b^2, z, k)^5*a^5*b^6*d^5 + 14495514624*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2
*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^5*a^6*b^5*d^5 - 219244658688*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6
*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^5*a^7*b^4*d^5 - 48922361856*root(729*a^6*b^2*d^6*
z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^5*a^8*b^3*d^5 - 32614907904*root
(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^7*a^6*b^7*d^7 -
179381993472*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z,
k)^7*a^7*b^6*d^7 - 16307453952*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d
^2*z^2 - b^2, z, k)^7*a^8*b^5*d^7 + 179381993472*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*
z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^7*a^9*b^4*d^7 + 48922361856*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 -
243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^7*a^10*b^3*d^7 - 1912602624*root(729*a^6*b^2*d^6*z^6 -
729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)*a^2*b^5*d - 100663296*root(729*a^6*b^2
*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)*a^3*b^4*d + 738197504*a*b^5
*exp(d*x)*exp(root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z,
k)) + 268435456*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z
, k)^2*a*b^7*d^2*exp(d*x)*exp(root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^
2*z^2 - b^2, z, k)) - 29158801408*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^
2*d^2*z^2 - b^2, z, k)^2*a^2*b^6*d^2*exp(d*x)*exp(root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4
*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)) - 29125246976*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2
*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^2*a^3*b^5*d^2*exp(d*x)*exp(root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z
^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)) - 2113929216*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^
6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^2*a^4*b^4*d^2*exp(d*x)*exp(root(729*a^6*b^2*d^6*
z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)) - 4831838208*root(729*a^6*b^2*d
^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^4*a^3*b^7*d^4*exp(d*x)*exp(ro
ot(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)) + 1654904586
24*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^4*a^4*b^
6*d^4*exp(d*x)*exp(root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2
, z, k)) + 283870494720*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2
- b^2, z, k)^4*a^5*b^5*d^4*exp(d*x)*exp(root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*
a^2*b^2*d^2*z^2 - b^2, z, k)) + 132573560832*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4
+ 27*a^2*b^2*d^2*z^2 - b^2, z, k)^4*a^6*b^4*d^4*exp(d*x)*exp(root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*
a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)) + 2717908992*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 2
43*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^4*a^7*b^3*d^4*exp(d*x)*exp(root(729*a^6*b^2*d^6*z^6 - 729
*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)) + 21743271936*root(729*a^6*b^2*d^6*z^6 -
729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^6*a^5*b^7*d^6*exp(d*x)*exp(root(729*a
^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)) - 154920812544*root(
729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^6*a^6*b^6*d^6*ex
p(d*x)*exp(root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k))
- 279944626176*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z
, k)^6*a^7*b^5*d^6*exp(d*x)*exp(root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*
d^2*z^2 - b^2, z, k)) - 105998450688*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2
*b^2*d^2*z^2 - b^2, z, k)^6*a^8*b^4*d^6*exp(d*x)*exp(root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*
d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)) - 2717908992*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b
^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^6*a^9*b^3*d^6*exp(d*x)*exp(root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6
*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)))/(13*a*b^12 + 13*a^12*b + a^13 + b^13 + 78*a^2*b
^11 + 286*a^3*b^10 + 715*a^4*b^9 + 1287*a^5*b^8 + 1716*a^6*b^7 + 1716*a^7*b^6 + 1287*a^8*b^5 + 715*a^9*b^4 + 2
86*a^10*b^3 + 78*a^11*b^2))*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*
z^2 - b^2, z, k), k, 1, 6) + log(exp(d*x + 1/(a*d)) - 1)/(a*d) - log(exp(d*x - 1/(a*d)) + 1)/(a*d)

Integral number [79] \[ \int \frac {\text {csch}^3(c+d x)}{a+b \tanh ^3(c+d x)} \, dx \]

[B]   time = 27.4891 (sec), size = -1 ,normalized size = -0.04 \[ \text {Too large to display} \]

[In]

int(1/(sinh(c + d*x)^3*(a + b*tanh(c + d*x)^3)),x)

[Out]

exp(c + d*x)/(a*d - a*d*exp(2*c + 2*d*x)) - (2*exp(c + d*x))/(a*d - 2*a*d*exp(2*c + 2*d*x) + a*d*exp(4*c + 4*d
*x)) + symsum(log((570425344*a^4*b^6*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4,
z, k)) - 33554432*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)*a*b^10*d - 553648128*a^2*b
^8*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) - 167772160*a^3*b^7*exp(d*x
)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) - 16777216*b^10*exp(d*x)*exp(root(729
*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) + 192937984*a^5*b^5*exp(d*x)*exp(root(729*a^10*d^6*
z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) + 2617245696*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2
*b^2 - b^4, z, k)^3*a^5*b^8*d^3 - 150994944*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^
3*a^6*b^7*d^3 - 1384120320*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^3*a^7*b^6*d^3 + 2
415919104*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^3*a^8*b^5*d^3 - 3498049536*root(72
9*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^3*a^9*b^4*d^3 + 5435817984*root(729*a^10*d^6*z^6 +
27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^5*a^8*b^7*d^5 + 679477248*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2
+ a^2*b^2 - b^4, z, k)^5*a^9*b^6*d^5 - 70665633792*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4
, z, k)^5*a^10*b^5*d^5 + 52319748096*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^5*a^11*
b^4*d^5 + 12230590464*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^5*a^12*b^3*d^5 + 32614
907904*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^7*a^11*b^6*d^7 + 146767085568*root(72
9*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^7*a^12*b^5*d^7 - 130459631616*root(729*a^10*d^6*z^6
+ 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^7*a^13*b^4*d^7 - 48922361856*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d
^2*z^2 + a^2*b^2 - b^4, z, k)^7*a^14*b^3*d^7 + 67108864*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 -
b^4, z, k)*a^2*b^9*d - 427819008*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)*a^3*b^8*d
- 822083584*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)*a^4*b^7*d + 436207616*root(729*a
^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)*a^5*b^6*d + 754974720*root(729*a^10*d^6*z^6 + 27*a^4*b
^2*d^2*z^2 + a^2*b^2 - b^4, z, k)*a^6*b^5*d + 25165824*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 -
b^4, z, k)*a^7*b^4*d - 25165824*a*b^9*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4,
z, k)) + 234881024*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^2*a^3*b^9*d^2*exp(d*x)*e
xp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) + 2592079872*root(729*a^10*d^6*z^6 + 27*
a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^2*a^4*b^8*d^2*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 +
a^2*b^2 - b^4, z, k)) - 2860515328*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^2*a^5*b^
7*d^2*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) + 2919235584*root(729*a^
10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^2*a^6*b^6*d^2*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a
^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) - 2357198848*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4
, z, k)^2*a^7*b^5*d^2*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) - 528482
304*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^2*a^8*b^4*d^2*exp(d*x)*exp(root(729*a^10
*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) + 301989888*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 +
a^2*b^2 - b^4, z, k)^4*a^6*b^8*d^4*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z
, k)) + 9965666304*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^4*a^7*b^7*d^4*exp(d*x)*ex
p(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) - 33671872512*root(729*a^10*d^6*z^6 + 27*
a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^4*a^8*b^6*d^4*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 +
a^2*b^2 - b^4, z, k)) - 6568280064*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^4*a^9*b^
5*d^4*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) + 29293019136*root(729*a
^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^4*a^10*b^4*d^4*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27
*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) + 679477248*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^
4, z, k)^4*a^11*b^3*d^4*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) + 7202
4588288*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^6*a^10*b^6*d^6*exp(d*x)*exp(root(729
*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) + 27179089920*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^
2*z^2 + a^2*b^2 - b^4, z, k)^6*a^11*b^5*d^6*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2
- b^4, z, k)) - 96485769216*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^6*a^12*b^4*d^6*e
xp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) - 2717908992*root(729*a^10*d^6*
z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^6*a^13*b^3*d^6*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2
*d^2*z^2 + a^2*b^2 - b^4, z, k)))/(12*a^16*b + a^17 + a^5*b^12 + 12*a^6*b^11 + 66*a^7*b^10 + 220*a^8*b^9 + 495
*a^9*b^8 + 792*a^10*b^7 + 924*a^11*b^6 + 792*a^12*b^5 + 495*a^13*b^4 + 220*a^14*b^3 + 66*a^15*b^2))*root(729*a
^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k), k, 1, 6) - log(33554432*a*b^9 - 16777216*b^10 + 11324
6208*a^2*b^8 - 260046848*a^3*b^7 + 321126400*a^4*b^6 - 382205952*a^5*b^5 + 191102976*a^6*b^4 + 16777216*b^10*e
xp(-1/(2*a*d))*exp(d*x) - 33554432*a*b^9*exp(-1/(2*a*d))*exp(d*x) - 113246208*a^2*b^8*exp(-1/(2*a*d))*exp(d*x)
+ 260046848*a^3*b^7*exp(-1/(2*a*d))*exp(d*x) - 321126400*a^4*b^6*exp(-1/(2*a*d))*exp(d*x) + 382205952*a^5*b^5
*exp(-1/(2*a*d))*exp(d*x) - 191102976*a^6*b^4*exp(-1/(2*a*d))*exp(d*x))/(2*a*d) + log(33554432*a*b^9 - 1677721
6*b^10 + 113246208*a^2*b^8 - 260046848*a^3*b^7 + 321126400*a^4*b^6 - 382205952*a^5*b^5 + 191102976*a^6*b^4 - 1
6777216*b^10*exp(1/(2*a*d))*exp(d*x) + 33554432*a*b^9*exp(1/(2*a*d))*exp(d*x) + 113246208*a^2*b^8*exp(1/(2*a*d
))*exp(d*x) - 260046848*a^3*b^7*exp(1/(2*a*d))*exp(d*x) + 321126400*a^4*b^6*exp(1/(2*a*d))*exp(d*x) - 38220595
2*a^5*b^5*exp(1/(2*a*d))*exp(d*x) + 191102976*a^6*b^4*exp(1/(2*a*d))*exp(d*x))/(2*a*d)

4.11 Test file Number [328]

Mathematica

Integral number [192] \[ \int x^3 \sqrt [3]{1+c^2 x^2} (a+b \text {arcsinh}(c x)) \, dx \]

[B]   time = 0.188295 (sec), size = 119 ,normalized size = 4.76 \[ \frac {3 \sqrt [3]{1+c^2 x^2} \left (3 b c x \left (11-16 c^2 x^2\right ) \sqrt {1+c^2 x^2}+56 a \left (-3+c^2 x^2+4 c^4 x^4\right )+56 b \left (-3+c^2 x^2+4 c^4 x^4\right ) \text {arcsinh}(c x)\right )+405 b c x \operatorname {Hypergeometric2F1}\left (\frac {1}{6},\frac {1}{2},\frac {3}{2},-c^2 x^2\right )}{3136 c^4} \]

[In]

Integrate[x^3*(1 + c^2*x^2)^(1/3)*(a + b*ArcSinh[c*x]),x]

[Out]

(3*(1 + c^2*x^2)^(1/3)*(3*b*c*x*(11 - 16*c^2*x^2)*Sqrt[1 + c^2*x^2] + 56*a*(-3 + c^2*x^2 + 4*c^4*x^4) + 56*b*(
-3 + c^2*x^2 + 4*c^4*x^4)*ArcSinh[c*x]) + 405*b*c*x*Hypergeometric2F1[1/6, 1/2, 3/2, -(c^2*x^2)])/(3136*c^4)

Integral number [193] \[ \int x^2 \sqrt [3]{1+c^2 x^2} (a+b \text {arcsinh}(c x)) \, dx \]

[B]   time = 4.74264 (sec), size = 198 ,normalized size = 7.92 \[ \frac {3 \left (-440 a c x \operatorname {Hypergeometric2F1}\left (\frac {1}{2},\frac {2}{3},\frac {3}{2},-c^2 x^2\right )+\sqrt [3]{1+c^2 x^2} \left (440 a c x+1100 a c^3 x^3+171 b \sqrt {1+c^2 x^2}+220 b c x \left (2+5 c^2 x^2\right ) \text {arcsinh}(c x)-75 b \cosh (3 \text {arcsinh}(c x))+660 b c x \text {arcsinh}(c x) \operatorname {Hypergeometric2F1}\left (\frac {5}{6},1,\frac {4}{3},1+c^2 x^2\right )\right )-\frac {110 \sqrt [3]{2} b \sqrt {\pi } \left (1+c^2 x^2\right )^{5/6} \operatorname {Gamma}\left (\frac {2}{3}\right ) \, _3F_2\left (\frac {5}{6},\frac {5}{6},1;\frac {4}{3},\frac {11}{6};1+c^2 x^2\right )}{\operatorname {Gamma}\left (\frac {4}{3}\right ) \operatorname {Gamma}\left (\frac {11}{6}\right )}\right )}{12100 c^3} \]

[In]

Integrate[x^2*(1 + c^2*x^2)^(1/3)*(a + b*ArcSinh[c*x]),x]

[Out]

(3*(-440*a*c*x*Hypergeometric2F1[1/2, 2/3, 3/2, -(c^2*x^2)] + (1 + c^2*x^2)^(1/3)*(440*a*c*x + 1100*a*c^3*x^3
+ 171*b*Sqrt[1 + c^2*x^2] + 220*b*c*x*(2 + 5*c^2*x^2)*ArcSinh[c*x] - 75*b*Cosh[3*ArcSinh[c*x]] + 660*b*c*x*Arc
Sinh[c*x]*Hypergeometric2F1[5/6, 1, 4/3, 1 + c^2*x^2]) - (110*2^(1/3)*b*Sqrt[Pi]*(1 + c^2*x^2)^(5/6)*Gamma[2/3
]*HypergeometricPFQ[{5/6, 5/6, 1}, {4/3, 11/6}, 1 + c^2*x^2])/(Gamma[4/3]*Gamma[11/6])))/(12100*c^3)

Integral number [194] \[ \int x \sqrt [3]{1+c^2 x^2} (a+b \text {arcsinh}(c x)) \, dx \]

[B]   time = 0.169411 (sec), size = 92 ,normalized size = 4. \[ \frac {3 \left (\sqrt [3]{1+c^2 x^2} \left (8 a+8 a c^2 x^2-3 b c x \sqrt {1+c^2 x^2}+8 \left (b+b c^2 x^2\right ) \text {arcsinh}(c x)\right )-5 b c x \operatorname {Hypergeometric2F1}\left (\frac {1}{6},\frac {1}{2},\frac {3}{2},-c^2 x^2\right )\right )}{64 c^2} \]

[In]

Integrate[x*(1 + c^2*x^2)^(1/3)*(a + b*ArcSinh[c*x]),x]

[Out]

(3*((1 + c^2*x^2)^(1/3)*(8*a + 8*a*c^2*x^2 - 3*b*c*x*Sqrt[1 + c^2*x^2] + 8*(b + b*c^2*x^2)*ArcSinh[c*x]) - 5*b
*c*x*Hypergeometric2F1[1/6, 1/2, 3/2, -(c^2*x^2)]))/(64*c^2)

Integral number [196] \[ \int \frac {\sqrt [3]{1+c^2 x^2} (a+b \text {arcsinh}(c x))}{x^2} \, dx \]

[B]   time = 5.52442 (sec), size = 211 ,normalized size = 8.44 \[ \frac {1}{3} \left (-\frac {3 a \sqrt [3]{1+c^2 x^2}}{x}+2 a c^2 x \operatorname {Hypergeometric2F1}\left (\frac {1}{2},\frac {2}{3},\frac {3}{2},-c^2 x^2\right )+b c \sqrt [3]{1+c^2 x^2} \left (-\frac {9 \sqrt [6]{1+\frac {1}{c^2 x^2}} \operatorname {Hypergeometric2F1}\left (\frac {1}{6},\frac {1}{6},\frac {7}{6},-\frac {1}{c^2 x^2}\right )}{\sqrt {1+c^2 x^2}}-\frac {3 \text {arcsinh}(c x) \left (1+c^2 x^2 \operatorname {Hypergeometric2F1}\left (\frac {5}{6},1,\frac {4}{3},1+c^2 x^2\right )\right )}{c x}+\frac {\sqrt {\pi +c^2 \pi x^2} \operatorname {Gamma}\left (\frac {2}{3}\right ) \, _3F_2\left (\frac {5}{6},\frac {5}{6},1;\frac {4}{3},\frac {11}{6};1+c^2 x^2\right )}{2^{2/3} \operatorname {Gamma}\left (\frac {4}{3}\right ) \operatorname {Gamma}\left (\frac {11}{6}\right )}\right )\right ) \]

[In]

Integrate[((1 + c^2*x^2)^(1/3)*(a + b*ArcSinh[c*x]))/x^2,x]

[Out]

((-3*a*(1 + c^2*x^2)^(1/3))/x + 2*a*c^2*x*Hypergeometric2F1[1/2, 2/3, 3/2, -(c^2*x^2)] + b*c*(1 + c^2*x^2)^(1/
3)*((-9*(1 + 1/(c^2*x^2))^(1/6)*Hypergeometric2F1[1/6, 1/6, 7/6, -(1/(c^2*x^2))])/Sqrt[1 + c^2*x^2] - (3*ArcSi
nh[c*x]*(1 + c^2*x^2*Hypergeometric2F1[5/6, 1, 4/3, 1 + c^2*x^2]))/(c*x) + (Sqrt[Pi + c^2*Pi*x^2]*Gamma[2/3]*H
ypergeometricPFQ[{5/6, 5/6, 1}, {4/3, 11/6}, 1 + c^2*x^2])/(2^(2/3)*Gamma[4/3]*Gamma[11/6])))/3

4.12 Test file Number [352]

Fricas

Integral number [13] \[ \int \frac {\operatorname {ExpIntegralEi}(b x)^2}{x^2} \, dx \]

[C]   time = 0.08658 (sec), size = 43 ,normalized size = 4.3 \[ \frac {4 \, b x {\rm Ei}\left (2 \, b x\right ) + {\left (b x - 1\right )} {\rm Ei}\left (b x\right )^{2} - 2 \, {\rm Ei}\left (b x\right ) e^{\left (b x\right )} - 2 \, e^{\left (2 \, b x\right )}}{x} \]

[In]

integrate(Ei(b*x)^2/x^2,x, algorithm=""fricas"")

[Out]

(4*b*x*Ei(2*b*x) + (b*x - 1)*Ei(b*x)^2 - 2*Ei(b*x)*e^(b*x) - 2*e^(2*b*x))/x

Mupad

Integral number [72] \[ \int \frac {\operatorname {LogIntegral}(a+b x)}{x} \, dx \]

[B]   time = 0.050892 (sec), size = -1 ,normalized size = -0.1 \[ \int \frac {\mathrm {logint}\left (a+b\,x\right )}{x} \,d x \]

[In]

int(logint(a + b*x)/x,x)

[Out]

int(logint(a + b*x)/x, x)

Integral number [73] \[ \int \frac {\operatorname {LogIntegral}(a+b x)}{x^2} \, dx \]

[B]   time = 0.105244 (sec), size = -1 ,normalized size = -0.1 \[ \int \frac {\mathrm {logint}\left (a+b\,x\right )}{x^2} \,d x \]

[In]

int(logint(a + b*x)/x^2,x)

[Out]

int(logint(a + b*x)/x^2, x)

Integral number [74] \[ \int (d x)^m \operatorname {LogIntegral}(a+b x) \, dx \]

[B]   time = 0.052046 (sec), size = -1 ,normalized size = -0.08 \[ \int \mathrm {logint}\left (a+b\,x\right )\,{\left (d\,x\right )}^m \,d x \]

[In]

int(logint(a + b*x)*(d*x)^m,x)

[Out]

int(logint(a + b*x)*(d*x)^m, x)

4.13 Test file Number [353]

Mathematica

Integral number [115] \[ \int \frac {\cos (b x) \operatorname {CosIntegral}(b x)}{x^2} \, dx \]

[A]   time = 0.0272549 (sec), size = 13 ,normalized size = 1.08 \[ -\frac {\cos (b x) \operatorname {CosIntegral}(b x)}{x} \]

[In]

Integrate[(Cos[b*x]*CosIntegral[b*x])/x^2,x]

[Out]

-((Cos[b*x]*CosIntegral[b*x])/x)

Fricas

Integral number [16] \[ \int \frac {\text {Si}(b x)^2}{x^3} \, dx \]

[C]   time = 0.090594 (sec), size = 74 ,normalized size = 7.4 \[ \frac {4 \, b^{2} x^{2} \operatorname {Ci}\left (2 \, b x\right ) - 2 \, b x \cos \left (b x\right ) \operatorname {Si}\left (b x\right ) - {\left (b^{2} x^{2} + 2\right )} \operatorname {Si}\left (b x\right )^{2} + \cos \left (b x\right )^{2} - 2 \, {\left (2 \, b x \cos \left (b x\right ) + \operatorname {Si}\left (b x\right )\right )} \sin \left (b x\right ) - 1}{4 \, x^{2}} \]

[In]

integrate(sin_integral(b*x)^2/x^3,x, algorithm=""fricas"")

[Out]

1/4*(4*b^2*x^2*cos_integral(2*b*x) - 2*b*x*cos(b*x)*sin_integral(b*x) - (b^2*x^2 + 2)*sin_integral(b*x)^2 + co
s(b*x)^2 - 2*(2*b*x*cos(b*x) + sin_integral(b*x))*sin(b*x) - 1)/x^2

4.14 Test file Number [355]

Mupad

Integral number [106] \[ \int \frac {\Gamma (0,a+b x)}{c+d x} \, dx \]

[B]   time = 0.079764 (sec), size = -1 ,normalized size = -0.07 \[ \int \frac {\mathrm {expint}\left (a+b\,x\right )}{c+d\,x} \,d x \]

[In]

int(expint(a + b*x)/(c + d*x),x)

[Out]

int(expint(a + b*x)/(c + d*x), x)

Integral number [141] \[ \int \frac {\Gamma (-1,a+b x)}{c+d x} \, dx \]

[B]   time = 0.266603 (sec), size = -1 ,normalized size = -0.07 \[ \int \frac {\mathrm {expint}\left (2,a+b\,x\right )}{\left (a+b\,x\right )\,\left (c+d\,x\right )} \,d x \]

[In]

int(expint(2, a + b*x)/((a + b*x)*(c + d*x)),x)

[Out]

int(expint(2, a + b*x)/((a + b*x)*(c + d*x)), x)

Integral number [149] \[ \int \frac {\Gamma (-2,a+b x)}{c+d x} \, dx \]

[B]   time = 3.72133 (sec), size = -1 ,normalized size = -0.07 \[ \int \frac {\mathrm {expint}\left (3,a+b\,x\right )}{{\left (a+b\,x\right )}^2\,\left (c+d\,x\right )} \,d x \]

[In]

int(expint(3, a + b*x)/((a + b*x)^2*(c + d*x)),x)

[Out]

int(expint(3, a + b*x)/((a + b*x)^2*(c + d*x)), x)

Integral number [157] \[ \int \frac {\Gamma (-3,a+b x)}{c+d x} \, dx \]

[B]   time = 0.251477 (sec), size = -1 ,normalized size = -0.07 \[ \int \frac {\mathrm {expint}\left (4,a+b\,x\right )}{{\left (a+b\,x\right )}^3\,\left (c+d\,x\right )} \,d x \]

[In]

int(expint(4, a + b*x)/((a + b*x)^3*(c + d*x)),x)

[Out]

int(expint(4, a + b*x)/((a + b*x)^3*(c + d*x)), x)

Integral number [169] \[ \int x^{3/2} \Gamma (-2,a+b x) \, dx \]

[B]   time = 0.779192 (sec), size = -1 ,normalized size = -0.08 \[ \int \frac {x^{3/2}\,\mathrm {expint}\left (3,a+b\,x\right )}{{\left (a+b\,x\right )}^2} \,d x \]

[In]

int((x^(3/2)*expint(3, a + b*x))/(a + b*x)^2,x)

[Out]

int((x^(3/2)*expint(3, a + b*x))/(a + b*x)^2, x)

Integral number [170] \[ \int \sqrt {x} \Gamma (-2,a+b x) \, dx \]

[B]   time = 0.756775 (sec), size = -1 ,normalized size = -0.08 \[ \int \frac {\sqrt {x}\,\mathrm {expint}\left (3,a+b\,x\right )}{{\left (a+b\,x\right )}^2} \,d x \]

[In]

int((x^(1/2)*expint(3, a + b*x))/(a + b*x)^2,x)

[Out]

int((x^(1/2)*expint(3, a + b*x))/(a + b*x)^2, x)

Integral number [171] \[ \int \frac {\Gamma (-2,a+b x)}{\sqrt {x}} \, dx \]

[B]   time = 12.6427 (sec), size = -1 ,normalized size = -0.08 \[ \int \frac {\mathrm {expint}\left (3,a+b\,x\right )}{\sqrt {x}\,{\left (a+b\,x\right )}^2} \,d x \]

[In]

int(expint(3, a + b*x)/(x^(1/2)*(a + b*x)^2),x)

[Out]

int(expint(3, a + b*x)/(x^(1/2)*(a + b*x)^2), x)

Integral number [172] \[ \int \frac {\Gamma (-2,a+b x)}{x^{3/2}} \, dx \]

[B]   time = 12.5016 (sec), size = -1 ,normalized size = -0.08 \[ \int \frac {\mathrm {expint}\left (3,a+b\,x\right )}{x^{3/2}\,{\left (a+b\,x\right )}^2} \,d x \]

[In]

int(expint(3, a + b*x)/(x^(3/2)*(a + b*x)^2),x)

[Out]

int(expint(3, a + b*x)/(x^(3/2)*(a + b*x)^2), x)

Integral number [182] \[ \int (c+d x)^m \Gamma (0,a+b x) \, dx \]

[B]   time = 0.127615 (sec), size = -1 ,normalized size = -0.07 \[ \int \mathrm {expint}\left (a+b\,x\right )\,{\left (c+d\,x\right )}^m \,d x \]

[In]

int(expint(a + b*x)*(c + d*x)^m,x)

[Out]

int(expint(a + b*x)*(c + d*x)^m, x)

Integral number [183] \[ \int (c+d x)^m \Gamma (-1,a+b x) \, dx \]

[B]   time = 0.300477 (sec), size = -1 ,normalized size = -0.07 \[ \int \frac {\mathrm {expint}\left (2,a+b\,x\right )\,{\left (c+d\,x\right )}^m}{a+b\,x} \,d x \]

[In]

int((expint(2, a + b*x)*(c + d*x)^m)/(a + b*x),x)

[Out]

int((expint(2, a + b*x)*(c + d*x)^m)/(a + b*x), x)

Integral number [184] \[ \int (c+d x)^m \Gamma (-2,a+b x) \, dx \]

[B]   time = 0.34162 (sec), size = -1 ,normalized size = -0.07 \[ \int \frac {\mathrm {expint}\left (3,a+b\,x\right )\,{\left (c+d\,x\right )}^m}{{\left (a+b\,x\right )}^2} \,d x \]

[In]

int((expint(3, a + b*x)*(c + d*x)^m)/(a + b*x)^2,x)

[Out]

int((expint(3, a + b*x)*(c + d*x)^m)/(a + b*x)^2, x)

Integral number [185] \[ \int (c+d x)^m \Gamma (-3,a+b x) \, dx \]

[B]   time = 0.267222 (sec), size = -1 ,normalized size = -0.07 \[ \int \frac {\mathrm {expint}\left (4,a+b\,x\right )\,{\left (c+d\,x\right )}^m}{{\left (a+b\,x\right )}^3} \,d x \]

[In]

int((expint(4, a + b*x)*(c + d*x)^m)/(a + b*x)^3,x)

[Out]

int((expint(4, a + b*x)*(c + d*x)^m)/(a + b*x)^3, x)