\(\int \frac {\cos ^{\frac {3}{2}}(c+d x)}{(a+a \sec (c+d x))^{5/2}} \, dx\) [434]

   Optimal result
   Rubi [A] (verified)
   Mathematica [A] (verified)
   Maple [A] (warning: unable to verify)
   Fricas [A] (verification not implemented)
   Sympy [F(-1)]
   Maxima [B] (verification not implemented)
   Giac [F]
   Mupad [F(-1)]

Optimal result

Integrand size = 25, antiderivative size = 237 \[ \int \frac {\cos ^{\frac {3}{2}}(c+d x)}{(a+a \sec (c+d x))^{5/2}} \, dx=\frac {163 \text {arctanh}\left (\frac {\sqrt {a} \sqrt {\sec (c+d x)} \sin (c+d x)}{\sqrt {2} \sqrt {a+a \sec (c+d x)}}\right ) \sqrt {\cos (c+d x)} \sqrt {\sec (c+d x)}}{16 \sqrt {2} a^{5/2} d}-\frac {\sqrt {\cos (c+d x)} \sin (c+d x)}{4 d (a+a \sec (c+d x))^{5/2}}-\frac {17 \sqrt {\cos (c+d x)} \sin (c+d x)}{16 a d (a+a \sec (c+d x))^{3/2}}-\frac {299 \sin (c+d x)}{48 a^2 d \sqrt {\cos (c+d x)} \sqrt {a+a \sec (c+d x)}}+\frac {95 \sqrt {\cos (c+d x)} \sin (c+d x)}{48 a^2 d \sqrt {a+a \sec (c+d x)}} \]

[Out]

-1/4*sin(d*x+c)*cos(d*x+c)^(1/2)/d/(a+a*sec(d*x+c))^(5/2)-17/16*sin(d*x+c)*cos(d*x+c)^(1/2)/a/d/(a+a*sec(d*x+c
))^(3/2)+163/32*arctanh(1/2*sin(d*x+c)*a^(1/2)*sec(d*x+c)^(1/2)*2^(1/2)/(a+a*sec(d*x+c))^(1/2))*cos(d*x+c)^(1/
2)*sec(d*x+c)^(1/2)/a^(5/2)/d*2^(1/2)-299/48*sin(d*x+c)/a^2/d/cos(d*x+c)^(1/2)/(a+a*sec(d*x+c))^(1/2)+95/48*si
n(d*x+c)*cos(d*x+c)^(1/2)/a^2/d/(a+a*sec(d*x+c))^(1/2)

Rubi [A] (verified)

Time = 0.79 (sec) , antiderivative size = 237, normalized size of antiderivative = 1.00, number of steps used = 7, number of rules used = 7, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.280, Rules used = {4349, 3902, 4105, 4107, 4098, 3893, 212} \[ \int \frac {\cos ^{\frac {3}{2}}(c+d x)}{(a+a \sec (c+d x))^{5/2}} \, dx=\frac {163 \sqrt {\cos (c+d x)} \sqrt {\sec (c+d x)} \text {arctanh}\left (\frac {\sqrt {a} \sin (c+d x) \sqrt {\sec (c+d x)}}{\sqrt {2} \sqrt {a \sec (c+d x)+a}}\right )}{16 \sqrt {2} a^{5/2} d}+\frac {95 \sin (c+d x) \sqrt {\cos (c+d x)}}{48 a^2 d \sqrt {a \sec (c+d x)+a}}-\frac {299 \sin (c+d x)}{48 a^2 d \sqrt {\cos (c+d x)} \sqrt {a \sec (c+d x)+a}}-\frac {17 \sin (c+d x) \sqrt {\cos (c+d x)}}{16 a d (a \sec (c+d x)+a)^{3/2}}-\frac {\sin (c+d x) \sqrt {\cos (c+d x)}}{4 d (a \sec (c+d x)+a)^{5/2}} \]

[In]

Int[Cos[c + d*x]^(3/2)/(a + a*Sec[c + d*x])^(5/2),x]

[Out]

(163*ArcTanh[(Sqrt[a]*Sqrt[Sec[c + d*x]]*Sin[c + d*x])/(Sqrt[2]*Sqrt[a + a*Sec[c + d*x]])]*Sqrt[Cos[c + d*x]]*
Sqrt[Sec[c + d*x]])/(16*Sqrt[2]*a^(5/2)*d) - (Sqrt[Cos[c + d*x]]*Sin[c + d*x])/(4*d*(a + a*Sec[c + d*x])^(5/2)
) - (17*Sqrt[Cos[c + d*x]]*Sin[c + d*x])/(16*a*d*(a + a*Sec[c + d*x])^(3/2)) - (299*Sin[c + d*x])/(48*a^2*d*Sq
rt[Cos[c + d*x]]*Sqrt[a + a*Sec[c + d*x]]) + (95*Sqrt[Cos[c + d*x]]*Sin[c + d*x])/(48*a^2*d*Sqrt[a + a*Sec[c +
 d*x]])

Rule 212

Int[((a_) + (b_.)*(x_)^2)^(-1), x_Symbol] :> Simp[(1/(Rt[a, 2]*Rt[-b, 2]))*ArcTanh[Rt[-b, 2]*(x/Rt[a, 2])], x]
 /; FreeQ[{a, b}, x] && NegQ[a/b] && (GtQ[a, 0] || LtQ[b, 0])

Rule 3893

Int[Sqrt[csc[(e_.) + (f_.)*(x_)]*(d_.)]/Sqrt[csc[(e_.) + (f_.)*(x_)]*(b_.) + (a_)], x_Symbol] :> Dist[-2*b*(d/
(a*f)), Subst[Int[1/(2*b - d*x^2), x], x, b*(Cot[e + f*x]/(Sqrt[a + b*Csc[e + f*x]]*Sqrt[d*Csc[e + f*x]]))], x
] /; FreeQ[{a, b, d, e, f}, x] && EqQ[a^2 - b^2, 0]

Rule 3902

Int[(csc[(e_.) + (f_.)*(x_)]*(d_.))^(n_)*(csc[(e_.) + (f_.)*(x_)]*(b_.) + (a_))^(m_), x_Symbol] :> Simp[(-Cot[
e + f*x])*(a + b*Csc[e + f*x])^m*((d*Csc[e + f*x])^n/(f*(2*m + 1))), x] + Dist[1/(a^2*(2*m + 1)), Int[(a + b*C
sc[e + f*x])^(m + 1)*(d*Csc[e + f*x])^n*(a*(2*m + n + 1) - b*(m + n + 1)*Csc[e + f*x]), x], x] /; FreeQ[{a, b,
 d, e, f, n}, x] && EqQ[a^2 - b^2, 0] && LtQ[m, -1] && (IntegersQ[2*m, 2*n] || IntegerQ[m])

Rule 4098

Int[(csc[(e_.) + (f_.)*(x_)]*(d_.))^(n_)*(csc[(e_.) + (f_.)*(x_)]*(b_.) + (a_))^(m_)*(csc[(e_.) + (f_.)*(x_)]*
(B_.) + (A_)), x_Symbol] :> Simp[A*Cot[e + f*x]*(a + b*Csc[e + f*x])^m*((d*Csc[e + f*x])^n/(f*n)), x] - Dist[(
a*A*m - b*B*n)/(b*d*n), Int[(a + b*Csc[e + f*x])^m*(d*Csc[e + f*x])^(n + 1), x], x] /; FreeQ[{a, b, d, e, f, A
, B, m, n}, x] && NeQ[A*b - a*B, 0] && EqQ[a^2 - b^2, 0] && EqQ[m + n + 1, 0] &&  !LeQ[m, -1]

Rule 4105

Int[(csc[(e_.) + (f_.)*(x_)]*(d_.))^(n_)*(csc[(e_.) + (f_.)*(x_)]*(b_.) + (a_))^(m_)*(csc[(e_.) + (f_.)*(x_)]*
(B_.) + (A_)), x_Symbol] :> Simp[(-(A*b - a*B))*Cot[e + f*x]*(a + b*Csc[e + f*x])^m*((d*Csc[e + f*x])^n/(b*f*(
2*m + 1))), x] - Dist[1/(a^2*(2*m + 1)), Int[(a + b*Csc[e + f*x])^(m + 1)*(d*Csc[e + f*x])^n*Simp[b*B*n - a*A*
(2*m + n + 1) + (A*b - a*B)*(m + n + 1)*Csc[e + f*x], x], x], x] /; FreeQ[{a, b, d, e, f, A, B, n}, x] && NeQ[
A*b - a*B, 0] && EqQ[a^2 - b^2, 0] && LtQ[m, -2^(-1)] &&  !GtQ[n, 0]

Rule 4107

Int[(csc[(e_.) + (f_.)*(x_)]*(d_.))^(n_)*(csc[(e_.) + (f_.)*(x_)]*(b_.) + (a_))^(m_)*(csc[(e_.) + (f_.)*(x_)]*
(B_.) + (A_)), x_Symbol] :> Simp[A*Cot[e + f*x]*(a + b*Csc[e + f*x])^m*((d*Csc[e + f*x])^n/(f*n)), x] - Dist[1
/(b*d*n), Int[(a + b*Csc[e + f*x])^m*(d*Csc[e + f*x])^(n + 1)*Simp[a*A*m - b*B*n - A*b*(m + n + 1)*Csc[e + f*x
], x], x], x] /; FreeQ[{a, b, d, e, f, A, B, m}, x] && NeQ[A*b - a*B, 0] && EqQ[a^2 - b^2, 0] && LtQ[n, 0]

Rule 4349

Int[(u_)*((c_.)*sin[(a_.) + (b_.)*(x_)])^(m_.), x_Symbol] :> Dist[(c*Csc[a + b*x])^m*(c*Sin[a + b*x])^m, Int[A
ctivateTrig[u]/(c*Csc[a + b*x])^m, x], x] /; FreeQ[{a, b, c, m}, x] &&  !IntegerQ[m] && KnownSecantIntegrandQ[
u, x]

Rubi steps \begin{align*} \text {integral}& = \left (\sqrt {\cos (c+d x)} \sqrt {\sec (c+d x)}\right ) \int \frac {1}{\sec ^{\frac {3}{2}}(c+d x) (a+a \sec (c+d x))^{5/2}} \, dx \\ & = -\frac {\sqrt {\cos (c+d x)} \sin (c+d x)}{4 d (a+a \sec (c+d x))^{5/2}}-\frac {\left (\sqrt {\cos (c+d x)} \sqrt {\sec (c+d x)}\right ) \int \frac {-\frac {11 a}{2}+3 a \sec (c+d x)}{\sec ^{\frac {3}{2}}(c+d x) (a+a \sec (c+d x))^{3/2}} \, dx}{4 a^2} \\ & = -\frac {\sqrt {\cos (c+d x)} \sin (c+d x)}{4 d (a+a \sec (c+d x))^{5/2}}-\frac {17 \sqrt {\cos (c+d x)} \sin (c+d x)}{16 a d (a+a \sec (c+d x))^{3/2}}-\frac {\left (\sqrt {\cos (c+d x)} \sqrt {\sec (c+d x)}\right ) \int \frac {-\frac {95 a^2}{4}+17 a^2 \sec (c+d x)}{\sec ^{\frac {3}{2}}(c+d x) \sqrt {a+a \sec (c+d x)}} \, dx}{8 a^4} \\ & = -\frac {\sqrt {\cos (c+d x)} \sin (c+d x)}{4 d (a+a \sec (c+d x))^{5/2}}-\frac {17 \sqrt {\cos (c+d x)} \sin (c+d x)}{16 a d (a+a \sec (c+d x))^{3/2}}+\frac {95 \sqrt {\cos (c+d x)} \sin (c+d x)}{48 a^2 d \sqrt {a+a \sec (c+d x)}}-\frac {\left (\sqrt {\cos (c+d x)} \sqrt {\sec (c+d x)}\right ) \int \frac {\frac {299 a^3}{8}-\frac {95}{4} a^3 \sec (c+d x)}{\sqrt {\sec (c+d x)} \sqrt {a+a \sec (c+d x)}} \, dx}{12 a^5} \\ & = -\frac {\sqrt {\cos (c+d x)} \sin (c+d x)}{4 d (a+a \sec (c+d x))^{5/2}}-\frac {17 \sqrt {\cos (c+d x)} \sin (c+d x)}{16 a d (a+a \sec (c+d x))^{3/2}}-\frac {299 \sin (c+d x)}{48 a^2 d \sqrt {\cos (c+d x)} \sqrt {a+a \sec (c+d x)}}+\frac {95 \sqrt {\cos (c+d x)} \sin (c+d x)}{48 a^2 d \sqrt {a+a \sec (c+d x)}}+\frac {\left (163 \sqrt {\cos (c+d x)} \sqrt {\sec (c+d x)}\right ) \int \frac {\sqrt {\sec (c+d x)}}{\sqrt {a+a \sec (c+d x)}} \, dx}{32 a^2} \\ & = -\frac {\sqrt {\cos (c+d x)} \sin (c+d x)}{4 d (a+a \sec (c+d x))^{5/2}}-\frac {17 \sqrt {\cos (c+d x)} \sin (c+d x)}{16 a d (a+a \sec (c+d x))^{3/2}}-\frac {299 \sin (c+d x)}{48 a^2 d \sqrt {\cos (c+d x)} \sqrt {a+a \sec (c+d x)}}+\frac {95 \sqrt {\cos (c+d x)} \sin (c+d x)}{48 a^2 d \sqrt {a+a \sec (c+d x)}}-\frac {\left (163 \sqrt {\cos (c+d x)} \sqrt {\sec (c+d x)}\right ) \text {Subst}\left (\int \frac {1}{2 a-x^2} \, dx,x,-\frac {a \sqrt {\sec (c+d x)} \sin (c+d x)}{\sqrt {a+a \sec (c+d x)}}\right )}{16 a^2 d} \\ & = \frac {163 \text {arctanh}\left (\frac {\sqrt {a} \sqrt {\sec (c+d x)} \sin (c+d x)}{\sqrt {2} \sqrt {a+a \sec (c+d x)}}\right ) \sqrt {\cos (c+d x)} \sqrt {\sec (c+d x)}}{16 \sqrt {2} a^{5/2} d}-\frac {\sqrt {\cos (c+d x)} \sin (c+d x)}{4 d (a+a \sec (c+d x))^{5/2}}-\frac {17 \sqrt {\cos (c+d x)} \sin (c+d x)}{16 a d (a+a \sec (c+d x))^{3/2}}-\frac {299 \sin (c+d x)}{48 a^2 d \sqrt {\cos (c+d x)} \sqrt {a+a \sec (c+d x)}}+\frac {95 \sqrt {\cos (c+d x)} \sin (c+d x)}{48 a^2 d \sqrt {a+a \sec (c+d x)}} \\ \end{align*}

Mathematica [A] (verified)

Time = 0.78 (sec) , antiderivative size = 144, normalized size of antiderivative = 0.61 \[ \int \frac {\cos ^{\frac {3}{2}}(c+d x)}{(a+a \sec (c+d x))^{5/2}} \, dx=-\frac {\left (1956 \sqrt {2} \arctan \left (\frac {\sqrt {2} \sqrt {\sec (c+d x)}}{\sqrt {1-\sec (c+d x)}}\right ) \cos ^4\left (\frac {1}{2} (c+d x)\right ) \sec ^{\frac {5}{2}}(c+d x)+2 \sqrt {1-\sec (c+d x)} \left (160-32 \cos (c+d x)+503 \sec (c+d x)+299 \sec ^2(c+d x)\right )\right ) \sin (c+d x)}{96 d \sqrt {-1+\cos (c+d x)} (a (1+\sec (c+d x)))^{5/2}} \]

[In]

Integrate[Cos[c + d*x]^(3/2)/(a + a*Sec[c + d*x])^(5/2),x]

[Out]

-1/96*((1956*Sqrt[2]*ArcTan[(Sqrt[2]*Sqrt[Sec[c + d*x]])/Sqrt[1 - Sec[c + d*x]]]*Cos[(c + d*x)/2]^4*Sec[c + d*
x]^(5/2) + 2*Sqrt[1 - Sec[c + d*x]]*(160 - 32*Cos[c + d*x] + 503*Sec[c + d*x] + 299*Sec[c + d*x]^2))*Sin[c + d
*x])/(d*Sqrt[-1 + Cos[c + d*x]]*(a*(1 + Sec[c + d*x]))^(5/2))

Maple [A] (warning: unable to verify)

Time = 1.68 (sec) , antiderivative size = 361, normalized size of antiderivative = 1.52

method result size
default \(-\frac {\left (-\frac {\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}{\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}+1}\right )^{\frac {3}{2}} \sqrt {-\frac {2 a}{\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}}\, \left (6 \left (1-\cos \left (d x +c \right )\right )^{7} \csc \left (d x +c \right )^{7}-69 \left (1-\cos \left (d x +c \right )\right )^{5} \csc \left (d x +c \right )^{5}+489 \arctan \left (\frac {-\cot \left (d x +c \right )+\csc \left (d x +c \right )}{\sqrt {-\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}}\right ) \sqrt {-\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}\, \left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-668 \left (1-\cos \left (d x +c \right )\right )^{3} \csc \left (d x +c \right )^{3}+489 \arctan \left (\frac {-\cot \left (d x +c \right )+\csc \left (d x +c \right )}{\sqrt {-\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}}\right ) \sqrt {-\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}-465 \csc \left (d x +c \right )+465 \cot \left (d x +c \right )\right )}{96 d \,a^{3} \left (\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1\right )}\) \(361\)

[In]

int(cos(d*x+c)^(3/2)/(a+a*sec(d*x+c))^(5/2),x,method=_RETURNVERBOSE)

[Out]

-1/96/d/a^3*(-((1-cos(d*x+c))^2*csc(d*x+c)^2-1)/((1-cos(d*x+c))^2*csc(d*x+c)^2+1))^(3/2)*(-2*a/((1-cos(d*x+c))
^2*csc(d*x+c)^2-1))^(1/2)*(6*(1-cos(d*x+c))^7*csc(d*x+c)^7-69*(1-cos(d*x+c))^5*csc(d*x+c)^5+489*arctan(1/(-(1-
cos(d*x+c))^2*csc(d*x+c)^2-1)^(1/2)*(-cot(d*x+c)+csc(d*x+c)))*(-(1-cos(d*x+c))^2*csc(d*x+c)^2-1)^(1/2)*(1-cos(
d*x+c))^2*csc(d*x+c)^2-668*(1-cos(d*x+c))^3*csc(d*x+c)^3+489*arctan(1/(-(1-cos(d*x+c))^2*csc(d*x+c)^2-1)^(1/2)
*(-cot(d*x+c)+csc(d*x+c)))*(-(1-cos(d*x+c))^2*csc(d*x+c)^2-1)^(1/2)-465*csc(d*x+c)+465*cot(d*x+c))/((1-cos(d*x
+c))^2*csc(d*x+c)^2-1)

Fricas [A] (verification not implemented)

none

Time = 0.27 (sec) , antiderivative size = 448, normalized size of antiderivative = 1.89 \[ \int \frac {\cos ^{\frac {3}{2}}(c+d x)}{(a+a \sec (c+d x))^{5/2}} \, dx=\left [\frac {489 \, \sqrt {2} {\left (\cos \left (d x + c\right )^{3} + 3 \, \cos \left (d x + c\right )^{2} + 3 \, \cos \left (d x + c\right ) + 1\right )} \sqrt {a} \log \left (-\frac {a \cos \left (d x + c\right )^{2} - 2 \, \sqrt {2} \sqrt {a} \sqrt {\frac {a \cos \left (d x + c\right ) + a}{\cos \left (d x + c\right )}} \sqrt {\cos \left (d x + c\right )} \sin \left (d x + c\right ) - 2 \, a \cos \left (d x + c\right ) - 3 \, a}{\cos \left (d x + c\right )^{2} + 2 \, \cos \left (d x + c\right ) + 1}\right ) + 4 \, {\left (32 \, \cos \left (d x + c\right )^{3} - 160 \, \cos \left (d x + c\right )^{2} - 503 \, \cos \left (d x + c\right ) - 299\right )} \sqrt {\frac {a \cos \left (d x + c\right ) + a}{\cos \left (d x + c\right )}} \sqrt {\cos \left (d x + c\right )} \sin \left (d x + c\right )}{192 \, {\left (a^{3} d \cos \left (d x + c\right )^{3} + 3 \, a^{3} d \cos \left (d x + c\right )^{2} + 3 \, a^{3} d \cos \left (d x + c\right ) + a^{3} d\right )}}, -\frac {489 \, \sqrt {2} {\left (\cos \left (d x + c\right )^{3} + 3 \, \cos \left (d x + c\right )^{2} + 3 \, \cos \left (d x + c\right ) + 1\right )} \sqrt {-a} \arctan \left (\frac {\sqrt {2} \sqrt {-a} \sqrt {\frac {a \cos \left (d x + c\right ) + a}{\cos \left (d x + c\right )}} \sqrt {\cos \left (d x + c\right )}}{a \sin \left (d x + c\right )}\right ) - 2 \, {\left (32 \, \cos \left (d x + c\right )^{3} - 160 \, \cos \left (d x + c\right )^{2} - 503 \, \cos \left (d x + c\right ) - 299\right )} \sqrt {\frac {a \cos \left (d x + c\right ) + a}{\cos \left (d x + c\right )}} \sqrt {\cos \left (d x + c\right )} \sin \left (d x + c\right )}{96 \, {\left (a^{3} d \cos \left (d x + c\right )^{3} + 3 \, a^{3} d \cos \left (d x + c\right )^{2} + 3 \, a^{3} d \cos \left (d x + c\right ) + a^{3} d\right )}}\right ] \]

[In]

integrate(cos(d*x+c)^(3/2)/(a+a*sec(d*x+c))^(5/2),x, algorithm="fricas")

[Out]

[1/192*(489*sqrt(2)*(cos(d*x + c)^3 + 3*cos(d*x + c)^2 + 3*cos(d*x + c) + 1)*sqrt(a)*log(-(a*cos(d*x + c)^2 -
2*sqrt(2)*sqrt(a)*sqrt((a*cos(d*x + c) + a)/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c) - 2*a*cos(d*x + c) -
 3*a)/(cos(d*x + c)^2 + 2*cos(d*x + c) + 1)) + 4*(32*cos(d*x + c)^3 - 160*cos(d*x + c)^2 - 503*cos(d*x + c) -
299)*sqrt((a*cos(d*x + c) + a)/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(a^3*d*cos(d*x + c)^3 + 3*a^3*d*
cos(d*x + c)^2 + 3*a^3*d*cos(d*x + c) + a^3*d), -1/96*(489*sqrt(2)*(cos(d*x + c)^3 + 3*cos(d*x + c)^2 + 3*cos(
d*x + c) + 1)*sqrt(-a)*arctan(sqrt(2)*sqrt(-a)*sqrt((a*cos(d*x + c) + a)/cos(d*x + c))*sqrt(cos(d*x + c))/(a*s
in(d*x + c))) - 2*(32*cos(d*x + c)^3 - 160*cos(d*x + c)^2 - 503*cos(d*x + c) - 299)*sqrt((a*cos(d*x + c) + a)/
cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(a^3*d*cos(d*x + c)^3 + 3*a^3*d*cos(d*x + c)^2 + 3*a^3*d*cos(d*
x + c) + a^3*d)]

Sympy [F(-1)]

Timed out. \[ \int \frac {\cos ^{\frac {3}{2}}(c+d x)}{(a+a \sec (c+d x))^{5/2}} \, dx=\text {Timed out} \]

[In]

integrate(cos(d*x+c)**(3/2)/(a+a*sec(d*x+c))**(5/2),x)

[Out]

Timed out

Maxima [B] (verification not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 148823 vs. \(2 (196) = 392\).

Time = 2.71 (sec) , antiderivative size = 148823, normalized size of antiderivative = 627.95 \[ \int \frac {\cos ^{\frac {3}{2}}(c+d x)}{(a+a \sec (c+d x))^{5/2}} \, dx=\text {Too large to display} \]

[In]

integrate(cos(d*x+c)^(3/2)/(a+a*sec(d*x+c))^(5/2),x, algorithm="maxima")

[Out]

1/96*(32*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x +
3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(11/3*arctan2(si
n(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^4 + 41472*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*
c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c),
 cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^4 + 8192*(cos(3*d*x + 3*
c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c
)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3
/2*d*x + 3/2*c)))^4 + 288*sin(3/2*d*x + 3/2*c)^5 + 32*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3
*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c)
, cos(3/2*d*x + 3/2*c))))*sin(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^4 + 41472*(cos(3*d*x +
 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x +
3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), co
s(3/2*d*x + 3/2*c)))^4 + 8192*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*
c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))
)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^4 + 4*(16*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*
c)*sin(3/2*d*x + 3/2*c) + 16*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 80*cos(3*d*x + 3*c
)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2
*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 192*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^
2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), co
s(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 128*(cos(3*d*x + 3*c)^2*s
in(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*s
in(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
 + 3/2*c))) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c) + 33*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2
)*sin(10/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 409*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2
)*sin(8/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)
*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*s
in(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + c
os(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*
cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x +
 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 864*(16*cos
(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 16*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2*sin(3/2
*d*x + 3/2*c) + 80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 64*(cos(3*d*x + 3*c)^2*sin(3/2
*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 128*(cos(3*d*x + 3*c)^2*sin(3/
2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/
3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/
2*c))) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c) + 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*si
n(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(
2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(
3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos
(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/
2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 256*(16*cos(3*d
*x + 3*c)^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 16*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2*sin(3/2*d*x
 + 3/2*c) + 80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x
 + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*
sin(3*d*x + 3*c) + 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2
*d*x + 3/2*c))) + 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d
*x + 3/2*c))) - 240*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(co
s(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(
3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arcta
n2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 4*(272*cos(3/2*d*x + 3/2*c)^2 - 2181)*sin(3/2*d*x + 3/2*c)
^3 + 4*(8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*d*x + 3*c)^2 + 8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*sin(3*d*x + 3*c
)^2 + 80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^2 - 751)*cos(3*
d*x + 3*c) - 33*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(10/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x +
 3/2*c))) - 409*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(8/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x +
3/2*c))) - 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3
/2*c))) - 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2
*c))) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9
/2*c) + 192*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x
 + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(
sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)
^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), c
os(3/2*d*x + 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(cos(3*d*x + 3*c)^2*
sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*s
in(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1
/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x +
3/2*c)))^3 + 864*(8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*d*x + 3*c)^2 + 8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*sin(3
*d*x + 3*c)^2 + 80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^2 - 7
51)*cos(3*d*x + 3*c) - 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos
(3/2*d*x + 3/2*c))) - 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3
/2*d*x + 3/2*c))) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin
(9/2*d*x + 9/2*c) + 128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 1
5*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(
5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(
3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos
(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/
2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 256*(8*(2*sin(3
/2*d*x + 3/2*c)^2 + 1)*cos(3*d*x + 3*c)^2 + 8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*sin(3*d*x + 3*c)^2 + 80*cos(3/2*d
*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c) - 519*(
cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(co
s(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 64*(cos(
3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) - 240*(cos
(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3
*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x
 + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c),
 cos(3/2*d*x + 3/2*c)))^3 + 64*(72*sin(3/2*d*x + 3/2*c)^3 + (200*cos(3/2*d*x + 3/2*c)^2 - 2253)*sin(3/2*d*x +
3/2*c))*cos(9/2*d*x + 9/2*c)^2 + 4*(160*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + 128*(co
s(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c)^2 + 8*(s
in(3/2*d*x + 3/2*c)^3 + (cos(3/2*d*x + 3/2*c)^2 + 1)*sin(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c)^2 + 1728*(cos(3*d*
x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x
 + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c),
 cos(3/2*d*x + 3/2*c)))^2 + 768*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/
2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)
)))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2
*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 + 8*(sin(3/2*d*x + 3/2*c)^3 + (cos(3/2*d
*x + 3/2*c)^2 + 1)*sin(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c)^2 + 72*sin(3/2*d*x + 3/2*c)^3 + 576*(cos(3*d*x + 3*c
)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)
^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/
2*d*x + 3/2*c)))^2 + 256*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) -
15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin
(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 8*(8*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)*sin
(3/2*d*x + 3/2*c) + 8*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 80*cos(3*d*x + 3*c)*cos(3
/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c))*cos(9/2*d*x + 9/2*c
) - 33*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c
)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 6*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(7/3*arctan2(s
in(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(
3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(10/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 409*
(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + s
in(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 6*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(7/3*arctan2(sin(3/2*
d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x
 + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(8/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 18*(16*cos(3
*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 16*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2*sin(3/2*d
*x + 3/2*c) + 80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d
*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 128*(cos(3*d*x + 3*c)^2*sin(3/2*
d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*
arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*
c))) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c) + 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(
4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(2/
3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/
2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3
*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*
c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 12*(16*cos(3*d*x +
3*c)^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 16*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/
2*c) + 80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/
2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3
*d*x + 3*c) + 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
+ 3/2*c))) + 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x +
3/2*c))) - 240*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d
*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x
 + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(si
n(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 519*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2
*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c))*cos(4/3*arctan2(sin(
3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*si
n(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c))*cos(2/3*arctan2(sin(3/2
*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 32*((2*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*d*x + 3*c)^2 + (2*sin(3/2*d*x
 + 3/2*c)^2 + 1)*sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) - 2*(48*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2
- 751*cos(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c) + (200*cos(3/2*d*x + 3/2*c)^2 - 2253)*sin(3/2*d*x + 3/2*c) + 33*(
cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + si
n(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 18*(cos(3*d*x + 3*c)^2 + s
in(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 12*(cos(3*d*x + 3*c)^2 + sin
(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 6*sin(3*d*x + 3*c)*sin(3/2*d*x
 + 3/2*c))*sin(10/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 409*(cos(3*d*x + 3*c)^2*cos(3/2*d*x
 + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x
+ 9/2*c) + 10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 18*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(7/3*arc
tan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 12*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arcta
n2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(8/3*arctan2(sin
(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 6*(8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*d*x + 3*c)^2 + 8*(2*sin(
3/2*d*x + 3/2*c)^2 + 1)*sin(3*d*x + 3*c)^2 + 80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (
48*sin(3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c) - 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(4/3*arct
an2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(2/3*arctan
2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c
)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*
c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c),
 cos(3/2*d*x + 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(cos(3*d*x + 3*c)^
2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)
*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin
(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x +
 3/2*c))) + 4*(8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*d*x + 3*c)^2 + 8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*sin(3*d*
x + 3*c)^2 + 80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^2 - 751)
*cos(3*d*x + 3*c) - 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/
2*d*x + 3/2*c))) - 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*
d*x + 3/2*c))) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/
2*d*x + 9/2*c) - 240*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(c
os(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos
(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(5/3*arct
an2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 519*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x
+ 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 10*cos(3*d*x
+ 3*c)*cos(3/2*d*x + 3/2*c) - 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), c
os(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2
+ 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)
- 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 120*
(16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x +
 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 20*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2 + 16*(cos(3*d*x + 3*c)^2 + sin(3*d*
x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c)^2 - 12
*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos
(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 6*sin(3*d*x + 3*c)*sin(3/2*d
*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + s
in(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^2)*sin(1/3*arctan2(sin(3
/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 144
*(160*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + 128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2
*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c)^2 + 8*(sin(3/2*d*x + 3/2*c)^3 + (cos(3/2*d
*x + 3/2*c)^2 + 1)*sin(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c)^2 + 768*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + s
in(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*
d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 128*(co
s(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 + 8*(s
in(3/2*d*x + 3/2*c)^3 + (cos(3/2*d*x + 3/2*c)^2 + 1)*sin(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c)^2 + 72*sin(3/2*d*x
 + 3/2*c)^3 + 256*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos
(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(5/3*ar
ctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 8*(8*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*
x + 3/2*c) + 8*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 80*cos(3*d*x + 3*c)*cos(3/2*d*x
+ 3/2*c)*sin(3/2*d*x + 3/2*c) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c))*cos(9/2*d*x + 9/2*c) + 12*
(16*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 16*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2*
sin(3/2*d*x + 3/2*c) + 80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 64*(cos(3*d*x + 3*c)^2*
sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) - (48*sin(3/2*d*x + 3/2*c
)^2 - 751)*sin(3*d*x + 3*c) + 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(4/3*arctan2(sin(3/2*d*x + 3/2*
c), cos(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c)
, cos(3/2*d*x + 3/2*c))) - 240*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c
)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*
c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*co
s(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 519*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + si
n(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c))*cos(
4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3
*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c))*cos(2/3
*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 32*((2*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*d*x + 3*c)^2
+ (2*sin(3/2*d*x + 3/2*c)^2 + 1)*sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) - 2*(48*cos(3/2*d*x + 3/2*c)*sin(3/2
*d*x + 3/2*c)^2 - 751*cos(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c) + (200*cos(3/2*d*x + 3/2*c)^2 - 2253)*sin(3/2*d*x
 + 3/2*c) + 4*(8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*d*x + 3*c)^2 + 8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*sin(3*d*
x + 3*c)^2 + 80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^2 - 751)
*cos(3*d*x + 3*c) - 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/
2*d*x + 3/2*c))) - 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*
d*x + 3/2*c))) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/
2*d*x + 9/2*c) - 240*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(c
os(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos
(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(5/3*arct
an2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 519*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x
+ 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 10*cos(3*d*x
+ 3*c)*cos(3/2*d*x + 3/2*c) - 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), c
os(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2
+ 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)
- 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 120*
(16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x +
 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 20*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2 + 16*(cos(3*d*x + 3*c)^2 + sin(3*d*
x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c)^2 - 12
*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos
(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 6*sin(3*d*x + 3*c)*sin(3/2*d
*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + s
in(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^2)*sin(1/3*arctan2(sin(3
/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 64*(
160*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + 128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c
) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c)^2 + 8*(sin(3/2*d*x + 3/2*c)^3 + (cos(3/2*d*x
 + 3/2*c)^2 + 1)*sin(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c)^2 + 128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin
(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 + 8*(sin(3/2*d*x + 3/2*c)^3 + (cos(3/2*d*x + 3/2*
c)^2 + 1)*sin(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c)^2 + 72*sin(3/2*d*x + 3/2*c)^3 + 8*(8*cos(3*d*x + 3*c)^2*cos(3
/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 8*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 80*cos
(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c))*
cos(9/2*d*x + 9/2*c) - 519*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c)
+ 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c))*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(
3/2*d*x + 3/2*c))) - 88*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4
*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c))*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2
*d*x + 3/2*c))) + 32*((2*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*d*x + 3*c)^2 + (2*sin(3/2*d*x + 3/2*c)^2 + 1)*sin(3
*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) - 2*(48*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 - 751*cos(3/2*d*x + 3/
2*c))*sin(3*d*x + 3*c) + (200*cos(3/2*d*x + 3/2*c)^2 - 2253)*sin(3/2*d*x + 3/2*c) + 519*(cos(3*d*x + 3*c)^2*co
s(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos
(9/2*d*x + 9/2*c) + 10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(4/
3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2
*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 10*cos(3
*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(2/3*arctan2(sin(3/2*d*x + 3/2*
c), cos(3/2*d*x + 3/2*c))) - 120*(16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (cos(3
/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 20*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2 +
16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x +
3/2*c)^2)*sin(3*d*x + 3*c)^2 - 12*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 8*(cos(3*d*x +
3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*
c) - 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x
+ 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x
+ 3/2*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c)
, cos(3/2*d*x + 3/2*c)))^2 + 64*(72*sin(3/2*d*x + 3/2*c)^3 + (200*cos(3/2*d*x + 3/2*c)^2 - 2253)*sin(3/2*d*x +
 3/2*c))*sin(9/2*d*x + 9/2*c)^2 + 4*(128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2
*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c)^2 + 8*(sin(3/2*d*x + 3/2*c)^3 + (cos(3/2*d*x + 3/2*c)^2 + 1)*sin(3/2*d*x +
 3/2*c))*cos(3*d*x + 3*c)^2 + 16*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3
/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c
))))*cos(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 576*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3
/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2
(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2
+ 256*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c
)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/
2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*s
in(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 + 8*(sin(3/2*d*x + 3/2*c)^3 + (cos(3/2*d*x + 3/2*c)^2 + 1)*sin(3/2
*d*x + 3/2*c))*sin(3*d*x + 3*c)^2 + 72*sin(3/2*d*x + 3/2*c)^3 + 1728*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c)
+ sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3
/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 768*
(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 +
sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x
+ 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 64*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + cos(3/
2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 2*(48*sin(3/2*d*x + 3/2*c)^3 -
727*sin(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c) + (16*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)
+ 16*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*s
in(3/2*d*x + 3/2*c) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*c
os(9/2*d*x + 9/2*c) + 192*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) -
 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*co
s(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + si
n(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d
*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - (48*sin(3/
2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c) + 33*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(10/3*arctan2(sin(3
/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 409*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(8/3*arctan2(sin(3/
2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(4/3*arctan2(sin(3/2
*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(2/3*arctan2(sin(3/2*d
*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(
3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2
*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3
/2*c))))*cos(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 33*(cos(3*d*x + 3*c)^2*sin(3/2*d*x +
3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9
/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 18*(cos(3*d*x + 3
*c)^2 + sin(3*d*x + 3*c)^2)*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 12*(cos(3*d*x + 3*c
)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(10/3*arctan2(sin(3
/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 409*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*si
n(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 10*cos(3/2*d*x + 3/2*c
)*sin(3*d*x + 3*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 18*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*si
n(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 12*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(
5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(8/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x +
3/2*c))) + 6*(16*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 16*cos(3/2*d*x + 3/2*c)*sin(3*
d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 64*(cos(3*
d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 128*(cos(3
*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*
d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*
c), cos(3/2*d*x + 3/2*c))) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c) + 519*(cos(3*d*x + 3*c)^2 + si
n(3*d*x + 3*c)^2)*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x + 3*c)^2 + sin(
3*d*x + 3*c)^2)*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(cos(3*d*x + 3*c)^2*cos(3/2
*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*
d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arct
an2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))
 + 4*(16*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 16*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*
c)^2*sin(3/2*d*x + 3/2*c) + 80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 64*(cos(3*d*x + 3*
c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) - (48*sin(3/2*d*x +
3/2*c)^2 - 751)*sin(3*d*x + 3*c) + 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(4/3*arctan2(sin(3/2*d*x +
 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(2/3*arctan2(sin(3/2*d*x + 3
/2*c), cos(3/2*d*x + 3/2*c))) - 240*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x
+ 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x +
 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))
))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 519*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c)
 + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)
+ 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(4/3*arctan2(sin(3/2*
d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/
2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 10*cos(3/2*d*x + 3/2*c)*si
n(3*d*x + 3*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x +
3/2*c))) + 8*(4*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*d*x + 3*c)^2 + 4*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*sin(3*d*x
 + 3*c)^2 + 80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^2 - 751)*
cos(3*d*x + 3*c))*sin(9/2*d*x + 9/2*c) + 80*(2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 + cos(3/2*d*x + 3/2
*c))*sin(3*d*x + 3*c) + (200*cos(3/2*d*x + 3/2*c)^2 - 2253)*sin(3/2*d*x + 3/2*c) + 33*(cos(3*d*x + 3*c)^2*cos(
3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9
/2*d*x + 9/2*c) + 6*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*
x + 3/2*c))) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x +
 3/2*c))))*sin(10/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 409*(cos(3*d*x + 3*c)^2*cos(3/2*d*x
 + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x
+ 9/2*c) + 6*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2
*c))) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)
)))*sin(8/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 18*(8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*
d*x + 3*c)^2 + 8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*sin(3*d*x + 3*c)^2 + 80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*
sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c) - 519*(cos(3*d*x + 3*c)^2 + sin(3*d*
x + 3*c)^2)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x
+ 3*c)^2)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x +
3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x +
 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arcta
n2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))
- 240*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)
^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*s
in(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x
 + 3/2*c), cos(3/2*d*x + 3/2*c))) + 12*(8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*d*x + 3*c)^2 + 8*(2*sin(3/2*d*x
 + 3/2*c)^2 + 1)*sin(3*d*x + 3*c)^2 + 80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(
3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c) - 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(4/3*arctan2(sin
(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(2/3*arctan2(sin(3
/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin
(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) - 240*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*si
n(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)
*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
 + 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 519*(cos(3*d*x + 3*c)^2*cos(3/2*d*
x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x
 + 9/2*c))*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x + 3*c)^2*cos(3/2*d*x +
 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x +
9/2*c))*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 120*(16*(cos(3*d*x + 3*c)^2 + sin(3*d*x
 + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 16*
(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2
*c)^2)*sin(3*d*x + 3*c)^2 + 20*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 12*cos(3*d*x + 3*c
)*sin(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^
2)*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x +
 3*c)^2*sin(3/2*d*x + 3/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2
*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*
c))))*sin(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 144*(128*(cos(3*d*x + 3*c)^2*sin(3/2*d
*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c)^2 + 8*(sin(3/2*d*x + 3/2*c)^3 + (c
os(3/2*d*x + 3/2*c)^2 + 1)*sin(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c)^2 + 576*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/
2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(
sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 +
 256*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)
^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2
*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*si
n(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 + 8*(sin(3/2*d*x + 3/2*c)^3 + (cos(3/2*d*x + 3/2*c)^2 + 1)*sin(3/2*
d*x + 3/2*c))*sin(3*d*x + 3*c)^2 + 72*sin(3/2*d*x + 3/2*c)^3 + 768*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) +
sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2
*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 64*(co
s(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2*sin(3/2*d
*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 2*(48*sin(3/2*d*x + 3/2*c)^3 - 727*sin(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c)
+ 6*(16*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 16*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c
)^2*sin(3/2*d*x + 3/2*c) + 80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 64*(cos(3*d*x + 3*c
)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 128*(cos(3*d*x + 3*
c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c
)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3
/2*d*x + 3/2*c))) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c) + 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x +
 3*c)^2)*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3
*c)^2)*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/
2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2
*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3
/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(16*
cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 16*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2*sin(
3/2*d*x + 3/2*c) + 80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 64*(cos(3*d*x + 3*c)^2*sin(
3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) - (48*sin(3/2*d*x + 3/2*c)^2
- 751)*sin(3*d*x + 3*c) + 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c),
cos(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), co
s(3/2*d*x + 3/2*c))) - 240*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2
+ 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) -
 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/
3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 519*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*
d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 10*cos(
3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(4/3*arctan2(sin(3/2*d*x + 3/2
*c), cos(3/2*d*x + 3/2*c))) - 88*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3
/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x +
 3*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))
+ 8*(4*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*d*x + 3*c)^2 + 4*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*sin(3*d*x + 3*c)^2
 + 80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x
 + 3*c))*sin(9/2*d*x + 9/2*c) + 80*(2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 + cos(3/2*d*x + 3/2*c))*sin(
3*d*x + 3*c) + (200*cos(3/2*d*x + 3/2*c)^2 - 2253)*sin(3/2*d*x + 3/2*c) + 12*(8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)
*cos(3*d*x + 3*c)^2 + 8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*sin(3*d*x + 3*c)^2 + 80*cos(3/2*d*x + 3/2*c)*sin(3*d*x
+ 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c) - 519*(cos(3*d*x + 3*c)^2 + s
in(3*d*x + 3*c)^2)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(cos(3*d*x + 3*c)^2 + sin
(3*d*x + 3*c)^2)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 64*(cos(3*d*x + 3*c)^2*sin(3/2
*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) - 240*(cos(3*d*x + 3*c)^2*sin(3/
2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2
*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arc
tan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))
) + 519*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*
c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c))*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))
+ 88*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^
2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c))*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 1
20*(16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*
x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (cos(
3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c)^2 + 20*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin
(3/2*d*x + 3/2*c) + 12*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) +
cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x + 3*c
)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)
+ 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^2)*sin(1/3*arctan2(si
n(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 6
4*(128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c
)^2 + 8*(sin(3/2*d*x + 3/2*c)^3 + (cos(3/2*d*x + 3/2*c)^2 + 1)*sin(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c)^2 + 256*
(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 +
sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x
+ 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2
*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 + 8*(sin(3/2*d*x + 3/2*c)^3 + (cos(3/2*d*x + 3/2*c)^2 + 1)*sin(3/2*d*x +
 3/2*c))*sin(3*d*x + 3*c)^2 + 72*sin(3/2*d*x + 3/2*c)^3 + 64*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)*sin(3/2*
d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 2*(48*sin(
3/2*d*x + 3/2*c)^3 - 727*sin(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c) + 4*(16*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c
)*sin(3/2*d*x + 3/2*c) + 16*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 80*cos(3*d*x + 3*c)
*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*
sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c) + 519*(cos(3*d
*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x
 + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(cos(3*d*x
+ 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x +
3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*
c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/
2*d*x + 3/2*c))) - 519*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*
(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*
cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(cos(
3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*
d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x
 + 3/2*c))*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(4*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*
cos(3*d*x + 3*c)^2 + 4*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*sin(3*d*x + 3*c)^2 + 80*cos(3/2*d*x + 3/2*c)*sin(3*d*x +
 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c))*sin(9/2*d*x + 9/2*c) + 80*(2*
cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 + cos(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c) + (200*cos(3/2*d*x + 3/2*
c)^2 - 2253)*sin(3/2*d*x + 3/2*c) + 519*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*
d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c))*sin(4/3*arctan2(sin(3/2*d*x +
 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x
 + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c))*sin(2/3*arctan2(sin(3/2*d*x + 3/
2*c), cos(3/2*d*x + 3/2*c))) - 120*(16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (cos
(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2
)*sin(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c)^2 + 20*cos(3/2*d
*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 12*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x
+ 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x
 + 3/2*c)^2 + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 10*cos(3/
2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*
x + 3/2*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*
c), cos(3/2*d*x + 3/2*c)))^2 + 32*(72*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^3 + (200*cos(3/2*d*x + 3/2*c)^
3 - 2253*cos(3/2*d*x + 3/2*c))*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 4*(6912*(cos(3*d*x + 3*c)^2*sin(3/
2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/
3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/
2*c)))^3 + 2048*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3
*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arct
an2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 144*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^3 + 16*(80*
cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c
))*cos(9/2*d*x + 9/2*c)^2 + 108*(16*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 16*cos(3/2*
d*x + 3/2*c)*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x +
3/2*c) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x +
9/2*c) + 128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*
x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2
(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c) + 519*(cos(
3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(cos(3*
d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(cos(3*d
*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x
 + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3
/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos
(3/2*d*x + 3/2*c)))^2 + 48*(16*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 16*cos(3/2*d*x +
 3/2*c)*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c
) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c
) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c) + 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(4/3
*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(2/3*a
rctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d
*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*
x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c),
 cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(80*cos(3*d*x + 3
*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c))*sin(9/2*d*
x + 9/2*c)^2 + 36*(16*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 16*cos(3/2*d*x + 3/2*c)*s
in(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 64*(c
os(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 192*(
cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + s
in(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x +
 3/2*c), cos(3/2*d*x + 3/2*c))) + 128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*
x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x +
3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin
(3*d*x + 3*c) + 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*
x + 3/2*c))) + 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
+ 3/2*c))) - 240*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3
*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d
*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(
sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(16*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x +
3/2*c) + 16*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3
/2*c)*sin(3/2*d*x + 3/2*c) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/
2*c))*cos(9/2*d*x + 9/2*c) + 128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3
/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c
))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*
x + 3*c) + 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3
/2*c))) + 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2
*c))) - 240*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x
+ 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x +
3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(5/3*arctan2(sin(3
/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 8*(80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c)
 + 72*sin(3/2*d*x + 3/2*c)^3 - (48*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 - 751*cos(3/2*d*x + 3/2*c))*sin
(3*d*x + 3*c) + (200*cos(3/2*d*x + 3/2*c)^2 - 2253)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 80*(cos(3/2*d
*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^3 + (cos(3/2*d*x + 3/2*c)^3 + cos(3/2*d*x + 3/2*c))*sin(3/2*d*x + 3/2*c))*cos
(3*d*x + 3*c) - 66*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*
d*x + 3/2*c)^2 + 6*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos
(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5
/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3
/2*c))) + 4*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x
+ 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c
))) + 4*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*
c) + 6*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 6*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(
sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin
(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(7/3*arctan2(sin(3/2*d
*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin
(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x
 + 3/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(10/3*arctan2(sin(3/2*d*x + 3/2*c)
, cos(3/2*d*x + 3/2*c))) - 818*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3
*c)*sin(3/2*d*x + 3/2*c)^2 + 6*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2
*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3
*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos
(3/2*d*x + 3/2*c))) + 4*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4
*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2
*d*x + 3/2*c))) + 4*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/
2*d*x + 9/2*c) + 6*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 6*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(
7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3
*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(7/3*arcta
n2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 4*(cos(3*d*x +
3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)
*sin(3/2*d*x + 3/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(8/3*arctan2(sin(3/2*d
*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 12*(160*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + 1
28*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c)^2
+ 8*(sin(3/2*d*x + 3/2*c)^3 + (cos(3/2*d*x + 3/2*c)^2 + 1)*sin(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c)^2 + 768*(cos
(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(
3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/
2*c), cos(3/2*d*x + 3/2*c)))^2 + 128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x
 + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 + 8*(sin(3/2*d*x + 3/2*c)^3 + (cos(3/2*d*x + 3/2*c)^2 + 1)*sin(3/2*d*x + 3/2
*c))*sin(3*d*x + 3*c)^2 + 72*sin(3/2*d*x + 3/2*c)^3 + 256*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x
 + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/
2*c), cos(3/2*d*x + 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 8*(8*cos(3*d*x
+ 3*c)^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 8*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3
/2*c) + 80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(
3*d*x + 3*c))*cos(9/2*d*x + 9/2*c) + 12*(16*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 16*
cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/
2*d*x + 3/2*c) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/
2*d*x + 9/2*c) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c) + 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*
c)^2)*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)
^2)*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c
) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)
 + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*
d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 519*(cos(
3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*
d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c))*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(cos(3*d
*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x
 + 3*c)^2)*sin(9/2*d*x + 9/2*c))*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 32*((2*sin(3/2
*d*x + 3/2*c)^2 + 1)*cos(3*d*x + 3*c)^2 + (2*sin(3/2*d*x + 3/2*c)^2 + 1)*sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2
*c) - 2*(48*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 - 751*cos(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c) + (200*co
s(3/2*d*x + 3/2*c)^2 - 2253)*sin(3/2*d*x + 3/2*c) + 4*(8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*d*x + 3*c)^2 + 8
*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*sin(3*d*x + 3*c)^2 + 80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/
2*c) + (48*sin(3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c) - 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(
4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(2/
3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d
*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) - 240*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*
d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3
/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*
c), cos(3/2*d*x + 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 519*(cos(3*d*x + 3*
c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)
^2)*cos(9/2*d*x + 9/2*c) + 10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))
*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) +
cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 1
0*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(2/3*arctan2(sin(3/2*d*x
 + 3/2*c), cos(3/2*d*x + 3/2*c))) - 120*(16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 +
 (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 20*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*
c)^2 + 16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2
*d*x + 3/2*c)^2)*sin(3*d*x + 3*c)^2 - 12*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 8*(cos(3
*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 10*cos(3*d*x + 3*c)*cos(3/2*d*x
 + 3/2*c) - 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 8*(cos
(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3
/2*d*x + 3/2*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x +
 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(160*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + 128*(c
os(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c)^2 + 8*(
sin(3/2*d*x + 3/2*c)^3 + (cos(3/2*d*x + 3/2*c)^2 + 1)*sin(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c)^2 + 128*(cos(3*d*
x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 + 8*(sin(3/2
*d*x + 3/2*c)^3 + (cos(3/2*d*x + 3/2*c)^2 + 1)*sin(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c)^2 + 72*sin(3/2*d*x + 3/2
*c)^3 + 8*(8*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 8*cos(3/2*d*x + 3/2*c)*sin(3*d*x +
 3*c)^2*sin(3/2*d*x + 3/2*c) + 80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - (48*sin(3/2*d*x
 + 3/2*c)^2 - 751)*sin(3*d*x + 3*c))*cos(9/2*d*x + 9/2*c) - 519*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin
(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c))*cos(4
/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*
d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c))*cos(2/3*
arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 32*((2*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*d*x + 3*c)^2 +
 (2*sin(3/2*d*x + 3/2*c)^2 + 1)*sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) - 2*(48*cos(3/2*d*x + 3/2*c)*sin(3/2*
d*x + 3/2*c)^2 - 751*cos(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c) + (200*cos(3/2*d*x + 3/2*c)^2 - 2253)*sin(3/2*d*x
+ 3/2*c) + 519*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d
*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 6*sin(3*d*
x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x +
3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*
c)^2)*cos(9/2*d*x + 9/2*c) + 10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c
))*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 120*(16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*
c)^2)*cos(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 20*cos(3
*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2 + 16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (co
s(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c)^2 - 12*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*s
in(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 1
0*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 25*c
os(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*
sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))
*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 1038*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*
sin(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 4*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)
- 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c))*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2
*d*x + 3/2*c))) - 176*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3
/2*d*x + 3/2*c)^2 + 4*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(
9/2*d*x + 9/2*c))*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(40*(2*cos(3/2*d*x + 3/2*c)
*sin(3/2*d*x + 3/2*c)^2 + cos(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c) - (48*sin(3/2*d*x + 3/2*c)^3 - 727*sin(3/2*d*
x + 3/2*c))*sin(3*d*x + 3*c))*sin(9/2*d*x + 9/2*c) - (48*sin(3/2*d*x + 3/2*c)^4 + (48*cos(3/2*d*x + 3/2*c)^2 -
 703)*sin(3/2*d*x + 3/2*c)^2 - 751*cos(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c) + 2*(200*cos(3/2*d*x + 3/2*c)^3 -
2253*cos(3/2*d*x + 3/2*c))*sin(3/2*d*x + 3/2*c) + 33*(10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2 + 108*(cos(3*
d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 48*(cos(3*
d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 - 6*cos(3/2*
d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 36*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(7/3*arct
an2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arct
an2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 8*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x
+ 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 12*(cos(3*d*x + 3*c)^2*cos(3/2
*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*
d*x + 9/2*c) + 10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 12*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3
*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(7/3*arcta
n2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3
/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 10*cos(3*d*x + 3
*c)*cos(3/2*d*x + 3/2*c) - 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(
3/2*d*x + 3/2*c))) + 9*sin(3/2*d*x + 3/2*c)^2 + 12*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*
c)*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), co
s(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(5*cos(3/2*d*x + 3/2*c)
*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
 + 3/2*c))))*sin(10/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 409*(10*cos(3*d*x + 3*c)*cos(3/2*
d*x + 3/2*c)^2 + 108*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d
*x + 3/2*c)))^2 + 48*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d
*x + 3/2*c)))^2 - 6*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 36*(cos(3*d*x + 3*c)^2 + sin(
3*d*x + 3*c)^2)*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(cos(3*d*x + 3*c)^2 + sin(
3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 8*(5*cos(3*d*x + 3*c)*cos(3/2
*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 12
*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 +
sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 12*(cos(3*d*x + 3*c)^2 +
 sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 6*sin(3*d*x + 3*c)*sin(3/2
*d*x + 3/2*c))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*
x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x
 + 9/2*c) + 10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan
2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 9*sin(3/2*d*x + 3/2*c)^2 + 12*(5*cos(3/2*d*x + 3/2*c)*sin(3*d
*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arct
an2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))
 + 8*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(5/3*arctan2(sin(3
/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(8/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 12*(4*
(80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x +
 3*c))*cos(9/2*d*x + 9/2*c) + (128*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 - 711*cos(3/2*d*x + 3/2*c))*cos
(3*d*x + 3*c) + 6*(8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*d*x + 3*c)^2 + 8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*sin(
3*d*x + 3*c)^2 + 80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^2 -
751)*cos(3*d*x + 3*c) - 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), co
s(3/2*d*x + 3/2*c))) - 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(
3/2*d*x + 3/2*c))) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*si
n(9/2*d*x + 9/2*c) + 128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) -
15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin
(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin
(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*co
s(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3
/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(8*(2*sin(3/2*
d*x + 3/2*c)^2 + 1)*cos(3*d*x + 3*c)^2 + 8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*sin(3*d*x + 3*c)^2 + 80*cos(3/2*d*x
+ 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c) - 519*(cos
(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(cos(3
*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 64*(cos(3*d
*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) - 240*(cos(3*
d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*
x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x +
3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), co
s(3/2*d*x + 3/2*c))) - 519*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))
*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) -
3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(80*
cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c
))*sin(9/2*d*x + 9/2*c) - (48*sin(3/2*d*x + 3/2*c)^3 - (80*cos(3/2*d*x + 3/2*c)^2 + 727)*sin(3/2*d*x + 3/2*c))
*sin(3*d*x + 3*c) + 4*(16*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 16*cos(3/2*d*x + 3/2*
c)*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 6
4*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 1
28*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2
 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d
*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c) + 519*(cos(3*d*x + 3*
c)^2 + sin(3*d*x + 3*c)^2)*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x + 3*c)
^2 + sin(3*d*x + 3*c)^2)*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(cos(3*d*x + 3*c)^
2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)
*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin
(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x +
 3/2*c))) + 519*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(4/3*ar
ctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x
 + 3*c)*sin(3/2*d*x + 3/2*c))*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(8*cos(3*d*x
+ 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x +
3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 4*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3
*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + (5*cos(3/2*d*x + 3/2*c)^2 - 3*sin(3/2*d*x + 3/2*c)^2)*sin(3*d
*x + 3*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c),
 cos(3/2*d*x + 3/2*c))) + 8*(4*(80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*
x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c))*cos(9/2*d*x + 9/2*c) + (128*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2
- 711*cos(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c) + 4*(8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*d*x + 3*c)^2 + 8*(2*s
in(3/2*d*x + 3/2*c)^2 + 1)*sin(3*d*x + 3*c)^2 + 80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)
+ (48*sin(3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c) - 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(4/3*a
rctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(2/3*arc
tan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x +
3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) - 240*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x +
 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*
x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), c
os(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 519*(5*cos(3*d*x + 3*c)*
cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*
d*x + 3/2*c))) - 88*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(2/
3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d
*x + 3/2*c) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c))*sin(9/2*d*x + 9/2*c) - (48*sin(3/2*d*x + 3/2
*c)^3 - (80*cos(3/2*d*x + 3/2*c)^2 + 727)*sin(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c) + 519*(5*cos(3/2*d*x + 3/2*c)
*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
 + 3/2*c))) + 88*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(2/3*a
rctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(8*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x
 + 3/2*c) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x
+ 9/2*c) + 4*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x +
 9/2*c) + (5*cos(3/2*d*x + 3/2*c)^2 - 3*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c))*sin(1/3*arctan2(sin(3/2*d*x
+ 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 519*(10*cos(3
*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2 - 6*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 8*(5*cos(3
*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*
d*x + 3/2*c)^2 + 9*sin(3/2*d*x + 3/2*c)^2)*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(
10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2 - 6*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 8*
(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 25*
cos(3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d*x + 3/2*c)^2)*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))
) - 240*(16*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x +
9/2*c)^2 + 25*cos(3/2*d*x + 3/2*c)^3 + 16*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/
2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 + 9*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 + 4*(10*cos(3*d*x + 3*c
)*cos(3/2*d*x + 3/2*c)^2 - 6*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 25*cos(3/2*d*x + 3/2
*c)^2 + 9*sin(3/2*d*x + 3/2*c)^2)*cos(9/2*d*x + 9/2*c) + 5*(cos(3/2*d*x + 3/2*c)^3 + cos(3/2*d*x + 3/2*c)*sin(
3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c) + 8*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - 3*sin
(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2)*sin(9/2*d*x + 9/2*c) - 3*(cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) +
sin(3/2*d*x + 3/2*c)^3)*sin(3*d*x + 3*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(11
/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 132*(216*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*s
in(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 64*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*s
in(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 36*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) +
sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 4
*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7
/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(
3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c))*cos(5/
3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 25*cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + 9*
sin(3/2*d*x + 3/2*c)^3 + 36*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c)
 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)
 + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 12*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(
3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*
(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + s
in(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*cos(3*d*x + 3*c)*sin(3/
2*d*x + 3/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 12*(5*cos(3*d*x + 3*c)*cos(3/
2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 4*(cos(3*d*x + 3*c)^2*sin(3/
2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2
*d*x + 9/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(5*cos(3*d*x + 3*c)*cos(3/2*d*
x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 4*(5*cos(3*d*x + 3*c)*cos(3/2*d*x
 + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/
2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))
)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*si
n(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 4*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) -
3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d
*x + 3/2*c))) + 4*(25*cos(3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d*x + 3/2*c)^2)*sin(9/2*d*x + 9/2*c) + 6*(36*(cos(3*d
*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(cos(3*d
*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 10*cos(3/2*
d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 48*(cos(3*d*x
 + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 25*cos(3/2*d*
x + 3/2*c)^2 + 12*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5
/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(7/3*arc
tan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x +
 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(5*cos(3/2*d*x +
3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*
c)^2 + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3
*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*cos(3*d*x + 3*
c)*sin(3/2*d*x + 3/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2
*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/
2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 6*c
os(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 25*cos(3/2*d*x + 3/2*c)^2 + 8*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c
) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*
(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*s
in(3/2*d*x + 3/2*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(10/3*arctan2(sin(3/2*
d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 1636*(216*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(7/3*arctan2(sin
(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 64*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin
(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 36*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2
*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 4*(cos(3*d*x + 3*c)
^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2
*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin
(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c))*cos(5/3*arctan2(sin(3/2*
d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 25*cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + 9*sin(3/2*d*x + 3/2*
c)^3 + 36*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x +
3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*cos(3*d*x + 3
*c)*sin(3/2*d*x + 3/2*c) + 12*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c),
cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(cos(3*d*x + 3*c)^
2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)
*sin(9/2*d*x + 9/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*si
n(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 12*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin
(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 4*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + s
in(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c))*cos
(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin
(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 4*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 4*(cos
(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d
*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(
sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)
 - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 4*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)
*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*
(25*cos(3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d*x + 3/2*c)^2)*sin(9/2*d*x + 9/2*c) + 6*(36*(cos(3*d*x + 3*c)^2 + sin(
3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(cos(3*d*x + 3*c)^2 + sin(
3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 10*cos(3/2*d*x + 3/2*c)*sin(3
*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 48*(cos(3*d*x + 3*c)^2 + sin(3*
d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 25*cos(3/2*d*x + 3/2*c)^2 + 12*
(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2
*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(7/3*arctan2(sin(3/2*d*x +
 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x
+ 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x +
 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*
x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x
+ 3*c)^2)*sin(9/2*d*x + 9/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3
/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos
(3/2*d*x + 3/2*c))) + 4*(16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), co
s(3/2*d*x + 3/2*c)))^2 + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 6*cos(3*d*x + 3*c)*si
n(3/2*d*x + 3/2*c)^2 + 25*cos(3/2*d*x + 3/2*c)^2 + 8*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x +
3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(5*cos(3/2*d*x + 3
/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c
)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(8/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3
/2*d*x + 3/2*c))) + 24*(2048*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c
) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))
*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 144*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c
)^3 + 16*(80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*si
n(3*d*x + 3*c))*cos(9/2*d*x + 9/2*c)^2 + 48*(16*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) +
 16*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*si
n(3/2*d*x + 3/2*c) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*co
s(9/2*d*x + 9/2*c) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c) + 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x
+ 3*c)^2)*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x +
3*c)^2)*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3
/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/
2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(
3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*
(80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x +
 3*c))*sin(9/2*d*x + 9/2*c)^2 + 16*(16*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 16*cos(3
/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x
 + 3/2*c) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x
 + 9/2*c) + 128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3
*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arct
an2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c) + 519*(c
os(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(cos
(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(cos(
3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*
d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x
+ 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c),
cos(3/2*d*x + 3/2*c)))^2 + 8*(80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + 72*sin(3/2*d*x
 + 3/2*c)^3 - (48*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 - 751*cos(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c) + (
200*cos(3/2*d*x + 3/2*c)^2 - 2253)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 80*(cos(3/2*d*x + 3/2*c)*sin(3
/2*d*x + 3/2*c)^3 + (cos(3/2*d*x + 3/2*c)^3 + cos(3/2*d*x + 3/2*c))*sin(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c) + 8
*(160*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + 128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2
*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c)^2 + 8*(sin(3/2*d*x + 3/2*c)^3 + (cos(3/2*d
*x + 3/2*c)^2 + 1)*sin(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c)^2 + 128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + s
in(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 + 8*(sin(3/2*d*x + 3/2*c)^3 + (cos(3/2*d*x + 3/
2*c)^2 + 1)*sin(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c)^2 + 72*sin(3/2*d*x + 3/2*c)^3 + 8*(8*cos(3*d*x + 3*c)^2*cos
(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 8*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 80*c
os(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c)
)*cos(9/2*d*x + 9/2*c) - 519*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c
) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c))*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), co
s(3/2*d*x + 3/2*c))) - 88*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) +
 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c))*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3
/2*d*x + 3/2*c))) + 32*((2*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*d*x + 3*c)^2 + (2*sin(3/2*d*x + 3/2*c)^2 + 1)*sin
(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) - 2*(48*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 - 751*cos(3/2*d*x +
3/2*c))*sin(3*d*x + 3*c) + (200*cos(3/2*d*x + 3/2*c)^2 - 2253)*sin(3/2*d*x + 3/2*c) + 519*(cos(3*d*x + 3*c)^2*
cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*c
os(9/2*d*x + 9/2*c) + 10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(
4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3
/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 10*cos
(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(2/3*arctan2(sin(3/2*d*x + 3/
2*c), cos(3/2*d*x + 3/2*c))) - 120*(16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (cos
(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 20*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2
+ 16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x
+ 3/2*c)^2)*sin(3*d*x + 3*c)^2 - 12*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 8*(cos(3*d*x
+ 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/
2*c) - 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*
x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*
x + 3/2*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*
c), cos(3/2*d*x + 3/2*c))) - 1038*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - 3*sin(3*d*x
+ 3*c)*sin(3/2*d*x + 3/2*c)^2 + 4*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x +
3/2*c))*sin(9/2*d*x + 9/2*c))*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 176*(5*cos(3*d*x
+ 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 4*(5*cos(3*d*x
+ 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c))*cos(2/3*arctan2(s
in(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(40*(2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 + cos(3/2*d
*x + 3/2*c))*cos(3*d*x + 3*c) - (48*sin(3/2*d*x + 3/2*c)^3 - 727*sin(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c))*sin(9
/2*d*x + 9/2*c) - (48*sin(3/2*d*x + 3/2*c)^4 + (48*cos(3/2*d*x + 3/2*c)^2 - 703)*sin(3/2*d*x + 3/2*c)^2 - 751*
cos(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c) + 2*(200*cos(3/2*d*x + 3/2*c)^3 - 2253*cos(3/2*d*x + 3/2*c))*sin(3/2*
d*x + 3/2*c) + 8*(4*(80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^
2 - 751)*cos(3*d*x + 3*c))*cos(9/2*d*x + 9/2*c) + (128*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 - 711*cos(3
/2*d*x + 3/2*c))*cos(3*d*x + 3*c) + 4*(8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*d*x + 3*c)^2 + 8*(2*sin(3/2*d*x
+ 3/2*c)^2 + 1)*sin(3*d*x + 3*c)^2 + 80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3
/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c) - 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(4/3*arctan2(sin(
3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(2/3*arctan2(sin(3/
2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(
3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) - 240*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin
(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*
sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
+ 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 519*(5*cos(3*d*x + 3*c)*cos(3/2*d*x
 + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c
))) - 88*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(2/3*arctan2(s
in(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)
 - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c))*sin(9/2*d*x + 9/2*c) - (48*sin(3/2*d*x + 3/2*c)^3 - (80
*cos(3/2*d*x + 3/2*c)^2 + 727)*sin(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c) + 519*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x
+ 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))
 + 88*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(2/3*arctan2(sin(
3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(8*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) +
 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) +
4*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + (
5*cos(3/2*d*x + 3/2*c)^2 - 3*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), c
os(3/2*d*x + 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 519*(10*cos(3*d*x + 3*c)
*cos(3/2*d*x + 3/2*c)^2 - 6*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 8*(5*cos(3*d*x + 3*c)
*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c
)^2 + 9*sin(3/2*d*x + 3/2*c)^2)*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(10*cos(3*d*
x + 3*c)*cos(3/2*d*x + 3/2*c)^2 - 6*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 8*(5*cos(3*d*
x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x
 + 3/2*c)^2 + 9*sin(3/2*d*x + 3/2*c)^2)*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(16
*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c)^2 +
25*cos(3/2*d*x + 3/2*c)^3 + 16*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2
*c))*sin(9/2*d*x + 9/2*c)^2 + 9*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 + 4*(10*cos(3*d*x + 3*c)*cos(3/2*d
*x + 3/2*c)^2 - 6*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 9*s
in(3/2*d*x + 3/2*c)^2)*cos(9/2*d*x + 9/2*c) + 5*(cos(3/2*d*x + 3/2*c)^3 + cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3
/2*c)^2)*cos(3*d*x + 3*c) + 8*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*
c)*sin(3/2*d*x + 3/2*c)^2)*sin(9/2*d*x + 9/2*c) - 3*(cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + sin(3/2*d*x
 + 3/2*c)^3)*sin(3*d*x + 3*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(s
in(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 16*(144*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^3 + 16*(80*cos
(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c))*
cos(9/2*d*x + 9/2*c)^2 + 16*(80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - (48*sin(3/2*d*x +
 3/2*c)^2 - 751)*sin(3*d*x + 3*c))*sin(9/2*d*x + 9/2*c)^2 + 8*(80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2*sin(
3/2*d*x + 3/2*c) + 72*sin(3/2*d*x + 3/2*c)^3 - (48*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 - 751*cos(3/2*d
*x + 3/2*c))*sin(3*d*x + 3*c) + (200*cos(3/2*d*x + 3/2*c)^2 - 2253)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c)
 + 80*(cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^3 + (cos(3/2*d*x + 3/2*c)^3 + cos(3/2*d*x + 3/2*c))*sin(3/2*d
*x + 3/2*c))*cos(3*d*x + 3*c) - 1038*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - 3*sin(3*d
*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 4*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x
 + 3/2*c))*sin(9/2*d*x + 9/2*c))*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 176*(5*cos(3*d
*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 4*(5*cos(3*d
*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c))*cos(2/3*arctan
2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(40*(2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 + cos(3/
2*d*x + 3/2*c))*cos(3*d*x + 3*c) - (48*sin(3/2*d*x + 3/2*c)^3 - 727*sin(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c))*si
n(9/2*d*x + 9/2*c) - (48*sin(3/2*d*x + 3/2*c)^4 + (48*cos(3/2*d*x + 3/2*c)^2 - 703)*sin(3/2*d*x + 3/2*c)^2 - 7
51*cos(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c) + 2*(200*cos(3/2*d*x + 3/2*c)^3 - 2253*cos(3/2*d*x + 3/2*c))*sin(3
/2*d*x + 3/2*c) + 519*(10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2 - 6*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*si
n(3/2*d*x + 3/2*c) + 8*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos
(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d*x + 3/2*c)^2)*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c)
, cos(3/2*d*x + 3/2*c))) + 88*(10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2 - 6*cos(3/2*d*x + 3/2*c)*sin(3*d*x +
 3*c)*sin(3/2*d*x + 3/2*c) + 8*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2
*c))*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d*x + 3/2*c)^2)*sin(2/3*arctan2(sin(3/2*d*x
+ 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(16*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3
/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c)^2 + 25*cos(3/2*d*x + 3/2*c)^3 + 16*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2
*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 + 9*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3
/2*c)^2 + 4*(10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2 - 6*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x
+ 3/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d*x + 3/2*c)^2)*cos(9/2*d*x + 9/2*c) + 5*(cos(3/2*d*x + 3/2*c
)^3 + cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c) + 8*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*
c)*sin(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2)*sin(9/2*d*x + 9/2*c) - 3*(cos(3/2*d*x + 3
/2*c)^2*sin(3/2*d*x + 3/2*c) + sin(3/2*d*x + 3/2*c)^3)*sin(3*d*x + 3*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c),
 cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 2076*(25*cos(3/2*d*x +
 3/2*c)^2*sin(3/2*d*x + 3/2*c) + 9*sin(3/2*d*x + 3/2*c)^3 + 4*(25*cos(3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d*x + 3/2
*c)^2)*sin(9/2*d*x + 9/2*c))*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 352*(25*cos(3/2*d*
x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + 9*sin(3/2*d*x + 3/2*c)^3 + 4*(25*cos(3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d*x +
3/2*c)^2)*sin(9/2*d*x + 9/2*c))*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 489*((cos(3*d*x
 + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^4 + 1296*(cos(3*
d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^4 + 256*(cos(3
*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^4 + (cos(3*d*
x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^4 + 1296*(cos(3
*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^4 + 256*(cos(
3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^4 + 25*cos(3
/2*d*x + 3/2*c)^4 + 2*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(
cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 12*(
cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(cos
(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d
*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 432*(cos(3*d
*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x
 + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x
+ 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*
c))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 128*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2
*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*
c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/
2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 34*cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d*x +
3/2*c)^4 + 2*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x
 + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x +
 3*c)*sin(3/2*d*x + 3/2*c) + 12*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c)
, cos(3/2*d*x + 3/2*c))) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), c
os(3/2*d*x + 3/2*c))))*sin(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 432*(cos(3*d*x + 3*c)
^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2
)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 8
*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7
/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin
(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*co
s(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3
/2*c), cos(3/2*d*x + 3/2*c)))^3 + 16*(25*cos(3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d*x + 3/2*c)^2)*cos(9/2*d*x + 9/2*
c)^2 + (16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/
2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 20*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2 + 216*(cos(3*d*x + 3*c)^2 +
sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 96*(cos(3*d*x + 3*c)^2 +
sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(cos(3*d*x + 3*c)^2 +
sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c
)^2 - 12*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 72*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c
)^2)*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 32*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c
)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*
c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 6*sin(3*d*x + 3*c)*s
in(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 36*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3
/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/
2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(s
in(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(7/3*arctan2(sin(3/2
*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 24*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin
(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/
2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x +
3/2*c))) + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x +
 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^2 + 12*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*
d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3
*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*ar
ctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)
)) + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c
)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*
sin(3/2*d*x + 3/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(11/3*arctan2(sin(3/2*d
*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 36*(16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^
2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 20*cos(3*d*x + 3*c)*cos(3/2*d*x + 3
/2*c)^2 + 96*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2
*c)))^2 + 16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(
3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c)^2 - 12*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 32*(c
os(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 8*(co
s(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 10*cos(3*d*x + 3*c)*cos(3/2*
d*x + 3/2*c) - 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 24*
(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + s
in(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2
*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*
x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^2 + 8*(cos
(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3
*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x
 + 3/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c),
 cos(3/2*d*x + 3/2*c)))^2 + 16*(16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (cos(3/2
*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 20*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2 + 16
*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/
2*c)^2)*sin(3*d*x + 3*c)^2 - 12*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*
c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)
 - 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x +
3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x +
3/2*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(25*cos(3/2*d*x + 3/2*c)^2 + 9*s
in(3/2*d*x + 3/2*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/
2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 2*(cos(3*d*x + 3*c)^2 + sin(3*
d*x + 3*c)^2)*cos(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 72*(cos(3*d*x + 3*c)^2 + sin(3
*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 32*(cos(3*d*x + 3*c)^2 + sin(3
*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(cos(3*d*x + 3*c)^2 + sin(3
*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c)^2 +
 20*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 12*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 +
216*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 +
 96*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 +
 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) +
25*cos(3/2*d*x + 3/2*c)^2 + 2*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)
^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c
) + 12*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))
+ 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3
*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 12*(co
s(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(
3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3
*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x +
 3/2*c))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/
2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2
*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3
/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(
3/2*d*x + 3/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2
*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^2 + 36*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*si
n(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)
*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(
5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x +
3/2*c))) + 24*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*
x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x
+ 3*c)*sin(3/2*d*x + 3/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(11/3*arctan2(si
n(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 36*(16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x +
9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 72*(cos(3*d*x + 3*c)^2 + sin
(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 32*(cos(3*d*x + 3*c)^2 + sin
(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(cos(3*d*x + 3*c)^2 + sin
(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c)^2
 + 20*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 12*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2
+ 96*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2
+ 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) +
 25*cos(3/2*d*x + 3/2*c)^2 + 12*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*
c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2
*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))
 - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(
cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + si
n(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*
d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x
 + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*cos(3*d*x +
 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^2 + 24*(cos(3*d*x + 3*c)^2*sin(3/2*d
*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*
x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(5/3*arctan
2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2
 + 16*(16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2
*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 32*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x
 + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (c
os(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c)^2 + 20*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*
sin(3/2*d*x + 3/2*c) + 12*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)
 + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x +
3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*
c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)
)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) +
sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*cos(3*d*x + 3*c)*sin(3/
2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2
*d*x + 3/2*c)))^2 + 8*(25*cos(3/2*d*x + 3/2*c)^3 + 9*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2)*cos(9/2*d*x
+ 9/2*c) + 2*(432*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
+ 3/2*c)))^3 + 128*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
 + 3/2*c)))^3 + 16*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2
*d*x + 9/2*c)^2 + 25*cos(3/2*d*x + 3/2*c)^3 + 108*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2
*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)
*cos(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(
3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*
x + 3/2*c)))^2 + 48*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(co
s(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(
3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(5*cos(
3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 + 9*cos(3/
2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 + 36*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin
(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/
2*d*x + 3/2*c) + 12*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*
x + 3/2*c))) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x +
 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c
)))^2 + 16*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x +
 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 8*(cos(3*d*x +
3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)
*sin(3/2*d*x + 3/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 4*(10*cos(3*d*x + 3*c)
*cos(3/2*d*x + 3/2*c)^2 - 6*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 25*cos(3/2*d*x + 3/2*
c)^2 + 9*sin(3/2*d*x + 3/2*c)^2)*cos(9/2*d*x + 9/2*c) + 5*(cos(3/2*d*x + 3/2*c)^3 + cos(3/2*d*x + 3/2*c)*sin(3
/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c) + 6*(16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 +
 (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 20*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*
c)^2 + 96*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)
))^2 + 16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2
*d*x + 3/2*c)^2)*sin(3*d*x + 3*c)^2 - 12*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 32*(cos(
3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 8*(cos(3
*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 10*cos(3*d*x + 3*c)*cos(3/2*d*x
 + 3/2*c) - 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 24*(co
s(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(
3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*
x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x +
 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^2 + 8*(cos(3*
d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*
x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x +
3/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), co
s(3/2*d*x + 3/2*c))) + 4*(16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x +
 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 20*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2 + 16*(cos(
3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2
)*sin(3*d*x + 3*c)^2 - 12*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2*c
os(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 6*s
in(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x + 3*c)^2
*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)
^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*
sin(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2)*sin(9/2*d*x + 9/2*c) - 3*(cos(3/2*d*x + 3/2*
c)^2*sin(3/2*d*x + 3/2*c) + sin(3/2*d*x + 3/2*c)^3)*sin(3*d*x + 3*c) + 12*(8*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/
2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*
c))*cos(9/2*d*x + 9/2*c) + 6*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c
) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)
 + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3
/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(cos
(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3
*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x
 + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(5*cos(3*d*x + 3*c)*cos(3/2*d*x +
3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + (5*cos(3/2*d*x + 3/2*c)^2 - 3*sin(3/2
*d*x + 3/2*c)^2)*sin(3*d*x + 3*c) + 4*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*
x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x
 + 3/2*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/
2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))
)*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(8*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*si
n(3/2*d*x + 3/2*c) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos
(9/2*d*x + 9/2*c) + 4*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(
cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*co
s(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(5*cos(3
*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + (5*cos(3/2*
d*x + 3/2*c)^2 - 3*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
 + 3/2*c))))*cos(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 12*(128*(cos(3*d*x + 3*c)^2 + sin
(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 16*(5*cos(3*d*x + 3*c)*cos(3
/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c)^2 + 25*cos(3/2*d*x + 3/2*c)^3
+ 48*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^
2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*si
n(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(5*cos(3*d*x + 3*c)*co
s(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 + 9*cos(3/2*d*x + 3/2*c)*
sin(3/2*d*x + 3/2*c)^2 + 16*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2
 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)
+ 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3
*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 4*(10
*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2 - 6*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 25*c
os(3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d*x + 3/2*c)^2)*cos(9/2*d*x + 9/2*c) + 5*(cos(3/2*d*x + 3/2*c)^3 + cos(3/2*d
*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c) + 4*(16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2
*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 20*cos(3*d*x + 3*c)*c
os(3/2*d*x + 3/2*c)^2 + 16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3
/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c)^2 - 12*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x +
3/2*c) + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 10*cos(3*d*x +
 3*c)*cos(3/2*d*x + 3/2*c) - 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x +
3/2*c)^2 + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x +
 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(5*cos(3*
d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2)*sin(9/2*d*x
+ 9/2*c) - 3*(cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + sin(3/2*d*x + 3/2*c)^3)*sin(3*d*x + 3*c) + 8*(8*co
s(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(
3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 4*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d
*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/
2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c
), cos(3/2*d*x + 3/2*c))) + 4*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*
c))*sin(9/2*d*x + 9/2*c) + (5*cos(3/2*d*x + 3/2*c)^2 - 3*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c))*sin(5/3*arc
tan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))
) + 8*(16*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/
2*c)^2 + 25*cos(3/2*d*x + 3/2*c)^3 + 16*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*
d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 + 9*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 + 4*(10*cos(3*d*x + 3*c)*
cos(3/2*d*x + 3/2*c)^2 - 6*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 25*cos(3/2*d*x + 3/2*c
)^2 + 9*sin(3/2*d*x + 3/2*c)^2)*cos(9/2*d*x + 9/2*c) + 5*(cos(3/2*d*x + 3/2*c)^3 + cos(3/2*d*x + 3/2*c)*sin(3/
2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c) + 8*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - 3*sin(3
*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2)*sin(9/2*d*x + 9/2*c) - 3*(cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + si
n(3/2*d*x + 3/2*c)^3)*sin(3*d*x + 3*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(25*c
os(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + 9*sin(3/2*d*x + 3/2*c)^3)*sin(9/2*d*x + 9/2*c) + 2*(432*(cos(3*d*
x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 128*(cos(3*d
*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 16*(5*cos(3
/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c)^2 + (cos(3*d*
x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x
+ 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/
2*c) + 12*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)
)) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))
*cos(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 36*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c)
 + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)
+ 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2 +
sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x
+ 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*
d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3
*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2
*c)))^2 + 16*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x +
 9/2*c)^2 + 25*cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + 9*sin(3/2*d*x + 3/2*c)^3 + 108*(cos(3*d*x + 3*c)^
2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)
*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 8*
(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/
3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 48*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3
*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(
3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2
*c), cos(3/2*d*x + 3/2*c)))^2 + 8*(5*cos(3/2*d*x + 3/2*c)^2*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*cos(3/2*d*x
+ 3/2*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 3*(cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + sin(3/2
*d*x + 3/2*c)^3)*cos(3*d*x + 3*c) + 2*(8*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*cos
(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 6*(cos(3*
d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*
x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x +
3/2*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c
))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c)
 + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)
+ 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d
*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*
d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + (5*cos(3/2*d*x + 3/2*c)^2 - 3*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c) +
6*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 +
 sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 12*(cos(3*d*x + 3*c)^2 +
 sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(cos(3*d*x + 3*c)^2 + si
n(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*
x + 3/2*c))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(cos(3*d*x + 3*c)^2*cos(3/2*d*x +
 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x +
9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2
(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(5/3*arctan2(sin(3
/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 12*(8
*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*c
os(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 4*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(
3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos
(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/
2*c), cos(3/2*d*x + 3/2*c))) + 4*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3
/2*c))*sin(9/2*d*x + 9/2*c) + (5*cos(3/2*d*x + 3/2*c)^2 - 3*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c) + 4*(cos(
3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*
d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d
*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3
/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos
(3/2*d*x + 3/2*c))) + 8*(8*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*cos(3/2*d*x + 3/2
*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 4*(5*cos(3*d*x + 3*c)*c
os(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + (5*cos(3/2*d*x + 3/2*c)^
2 - 3*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) +
 4*(10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2
+ 25*cos(3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d*x + 3/2*c)^2)*sin(9/2*d*x + 9/2*c) + 5*(cos(3/2*d*x + 3/2*c)^3 + cos
(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c) + 6*(16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*c
os(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 72*(cos(3*d*x +
 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 32*(cos(3*d*x +
 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(cos(3*d*x +
 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*sin(3
*d*x + 3*c)^2 + 20*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 12*cos(3*d*x + 3*c)*sin(3/2*d*
x + 3/2*c)^2 + 96*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
+ 3/2*c)))^2 + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2)*cos(9/2*d
*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 12*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*s
in(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(
3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d
*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3
/2*c))) + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x
+ 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x +
3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(cos(3*d*x + 3*c)^
2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) +
6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^2 + 24*(cos(3*d*x + 3*c
)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^
2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*s
in(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
 + 3/2*c))) + 4*(16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2
 + sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 32*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(s
in(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2
*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c)^2 + 20*cos(3/2*d*x + 3/2*c)*sin(3*d
*x + 3*c)*sin(3/2*d*x + 3/2*c) + 12*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*
x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 8*(co
s(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(
3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*
x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x +
 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*cos(3*d*x + 3
*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c
), cos(3/2*d*x + 3/2*c))))*sin(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 12*(128*(cos(3*d*x
+ 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 16*(5*cos(3/2*
d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c)^2 + 36*(cos(3*d*
x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x
+ 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/
2*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))
))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c
) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)
 + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*
d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(
3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 + 25*cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + 9*sin(3/2*d*x + 3/
2*c)^3 + 48*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x
+ 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x +
3*c)*sin(3/2*d*x + 3/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 8*(5*cos(3/2*d*x +
 3/2*c)^2*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c
) + 3*(cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + sin(3/2*d*x + 3/2*c)^3)*cos(3*d*x + 3*c) + 12*(8*cos(3*d*
x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x
+ 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 4*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3
*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x
+ 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos
(3/2*d*x + 3/2*c))) + 4*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*si
n(9/2*d*x + 9/2*c) + (5*cos(3/2*d*x + 3/2*c)^2 - 3*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c) + 4*(cos(3*d*x + 3
*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c
)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)
^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*si
n(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
+ 3/2*c))) + 8*(8*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3
*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 4*(5*cos(3*d*x + 3*c)*cos(3/2*d*
x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + (5*cos(3/2*d*x + 3/2*c)^2 - 3*sin
(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(10*co
s(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 25*cos(
3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d*x + 3/2*c)^2)*sin(9/2*d*x + 9/2*c) + 5*(cos(3/2*d*x + 3/2*c)^3 + cos(3/2*d*x
+ 3/2*c)*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c) + 4*(16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*
x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 32*(cos(3*d*x + 3*c)^2 +
 sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(cos(3*d*x + 3*c)^2 +
 sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*
c)^2 + 20*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 12*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c
)^2 + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*
c) + 25*cos(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x +
 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x +
3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))
 + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 10*cos(3/2*d*x + 3/2
*c)*sin(3*d*x + 3*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^
2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2
*d*x + 3/2*c))) + 8*(16*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*co
s(9/2*d*x + 9/2*c)^2 + 16*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) +
 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) +
3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(
5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 + 25
*cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + 9*sin(3/2*d*x + 3/2*c)^3 + 8*(5*cos(3/2*d*x + 3/2*c)^2*sin(3*d*
x + 3*c) + 3*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 3*(cos(3/2*d*x
 + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + sin(3/2*d*x + 3/2*c)^3)*cos(3*d*x + 3*c) + 8*(8*cos(3*d*x + 3*c)*cos(3/2*d*
x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x
+ 3/2*c))*cos(9/2*d*x + 9/2*c) + 4*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x +
 3/2*c))*sin(9/2*d*x + 9/2*c) + (5*cos(3/2*d*x + 3/2*c)^2 - 3*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c))*cos(5/
3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d
*x + 3/2*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 25*cos(3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d*x + 3/2*c)^2
)*sin(9/2*d*x + 9/2*c) + 5*(cos(3/2*d*x + 3/2*c)^3 + cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x +
3*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*log(cos(1/3*arctan2(sin(3/2*d*x + 3/2*c),
cos(3/2*d*x + 3/2*c)))^2 + sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 2*sin(1/3*arctan2(
sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 1) - 489*((cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(11/3*ar
ctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^4 + 1296*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(7/3*
arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^4 + 256*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3
*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^4 + (cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(11/3*a
rctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^4 + 1296*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(7/3
*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^4 + 256*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/
3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^4 + 25*cos(3/2*d*x + 3/2*c)^4 + 2*(cos(3*d*x + 3*c)^2*c
os(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*co
s(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 12*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*co
s(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5
/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(11/3*ar
ctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 432*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*
d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d
*x + 3*c)*cos(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2
*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), c
os(3/2*d*x + 3/2*c)))^3 + 128*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)
^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c
) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 +
34*cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d*x + 3/2*c)^4 + 2*(cos(3*d*x + 3*c)^2*sin(3/2*d*
x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x
 + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 12*(cos(3*d*x
+ 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(cos(3*d*x + 3
*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(11/3*arctan2(sin
(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 432*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^
2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/
2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*
sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*
x + 3/2*c)))^3 + 128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(c
os(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos
(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 16*(25*co
s(3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d*x + 3/2*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (16*(cos(3*d*x + 3*c)^2 + sin(3*d*x
+ 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 20*c
os(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2 + 216*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2
*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 96*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2
*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2
+ (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c)^2 - 12*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3
*c)*sin(3/2*d*x + 3/2*c) + 72*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c),
cos(3/2*d*x + 3/2*c)))^2 + 32*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c),
cos(3/2*d*x + 3/2*c)))^2 + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^
2 + 10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) +
 25*cos(3/2*d*x + 3/2*c)^2 + 36*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*
c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2
*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))
 - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 24*
(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + s
in(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2
*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*
x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^2 + 12*(co
s(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(
3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*
x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3
/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/
2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2
*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(5/3*arctan2(sin(3
/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 36*
(16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x +
 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 20*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2 + 96*(cos(3*d*x + 3*c)^2 + sin(3*d*
x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(cos(3*d*x + 3*c)^2 + sin(3*d*
x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c)^2 - 12
*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 32*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin
(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos
(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 6*sin(3*d*x + 3*c)*sin(3/2*d
*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 24*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) +
cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5
*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x
+ 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x
 + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(
3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos
(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/
2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(16*(cos(3*d
*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*c
os(3*d*x + 3*c)^2 + 20*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2 + 16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*
sin(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c)^2 - 12*cos(3/2*d*x
 + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3
/2*c)*sin(3*d*x + 3*c)^2 + 10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))
*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3
*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2
*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(25*cos(3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d*x + 3/2*c)^2)*sin(9/2*d*x + 9/2*c)
^2 + (16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*
d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 2*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(11/3*arctan2(sin(3/2*d*x
+ 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 72*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x
+ 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 32*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x
+ 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (co
s(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c)^2 + 20*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*s
in(3/2*d*x + 3/2*c) + 12*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 216*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^
2)*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 96*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^
2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)
 + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 2*(cos(3*d*x +
3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*
c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 12*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*
c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^
2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos
(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 12*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos
(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*co
s(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x
+ 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*
c), cos(3/2*d*x + 3/2*c))) + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c
)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*
c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8
*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 10*cos(3/2*d*x + 3/2*c)*
sin(3*d*x + 3*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^2 +
36*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2
+ sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(
3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d
*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 24*(cos(3*d*x + 3*c)^2*sin(3/2*d
*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*
x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(5/3*arctan
2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^
2 + 36*(16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/
2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 72*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*
x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 32*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*
x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (
cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c)^2 + 20*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)
*sin(3/2*d*x + 3/2*c) + 12*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 96*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)
^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c
) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 12*(cos(3*d*x
+ 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x +
3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3
*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))
*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + c
os(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*
cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x +
 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x
+ 3/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9
/2*c) + 9*sin(3/2*d*x + 3/2*c)^2 + 24*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*
x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d
*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c
))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(16*(cos(3*d*x + 3*c)^2 + sin(3*d*x +
 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 32*(c
os(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(c
os(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c
)^2)*sin(3*d*x + 3*c)^2 + 20*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 12*cos(3*d*x + 3*c)*
sin(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2)
*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x +
 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x +
3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos
(3/2*d*x + 3/2*c))) + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 1
0*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*si
n(3/2*d*x + 3/2*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 8*(25*cos(3/2*d*x + 3/2
*c)^3 + 9*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2)*cos(9/2*d*x + 9/2*c) + 2*(432*(cos(3*d*x + 3*c)^2 + sin
(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 128*(cos(3*d*x + 3*c)^2 + si
n(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 16*(5*cos(3*d*x + 3*c)*cos(
3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c)^2 + 25*cos(3/2*d*x + 3/2*c)^3
 + 108*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c
)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)
^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin
(3/2*d*x + 3/2*c))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 48*(cos(3*d*x + 3*c)^2*cos
(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(
9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*
arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3
*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 + 9*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 + 36*
(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + s
in(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 12*(cos(3*d*x + 3*c)^2 + s
in(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(cos(3*d*x + 3*c)^2 + sin(
3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x
+ 3/2*c))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(cos(3*d*x + 3*c)^2*cos(3/2*d*x
+ 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x +
 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan
2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(5/3*arctan2(sin(
3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 4*(10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2 - 6*cos(3/2*d*x + 3
/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d*x + 3/2*c)^2)*cos(9/2*d*
x + 9/2*c) + 5*(cos(3/2*d*x + 3/2*c)^3 + cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c) + 6*(16
*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/
2*c)^2)*cos(3*d*x + 3*c)^2 + 20*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2 + 96*(cos(3*d*x + 3*c)^2 + sin(3*d*x +
 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(cos(3*d*x + 3*c)^2 + sin(3*d*x +
 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c)^2 - 12*co
s(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 32*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/
3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/
2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 6*sin(3*d*x + 3*c)*sin(3/2*d*x
+ 3/2*c))*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 24*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos
(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*co
s(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3
/2*c), cos(3/2*d*x + 3/2*c))) + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x +
3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d
*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/
2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c
), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(16*(cos(3*d*x + 3
*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*cos(3*d
*x + 3*c)^2 + 20*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2 + 16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/
2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c)^2 - 12*cos(3/2*d*x + 3/2
*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*
sin(3*d*x + 3*c)^2 + 10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9
/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*
sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), c
os(3/2*d*x + 3/2*c))) + 8*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*s
in(3/2*d*x + 3/2*c)^2)*sin(9/2*d*x + 9/2*c) - 3*(cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + sin(3/2*d*x + 3
/2*c)^3)*sin(3*d*x + 3*c) + 12*(8*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*cos(3/2*d*
x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 6*(cos(3*d*x + 3
*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c
)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)
+ 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*co
s(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(
3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos
(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/
2*c), cos(3/2*d*x + 3/2*c))) + 4*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3
/2*c))*sin(9/2*d*x + 9/2*c) + (5*cos(3/2*d*x + 3/2*c)^2 - 3*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c) + 4*(cos(
3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*
d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d
*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3
/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos
(3/2*d*x + 3/2*c))) + 8*(8*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*cos(3/2*d*x + 3/2
*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 4*(cos(3*d*x + 3*c)^2*s
in(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*si
n(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/
3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*
d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + (5*cos(3/2*d*x + 3/2*c)^2 - 3*sin(3/2*d*x + 3/2*c)^2)*
sin(3*d*x + 3*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(11/3*arctan2(sin(3/2*d*x +
 3/2*c), cos(3/2*d*x + 3/2*c))) + 12*(128*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*
x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 16*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/
2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c)^2 + 25*cos(3/2*d*x + 3/2*c)^3 + 48*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*
c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c
) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2
*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin
(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 + 9*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 + 16*(cos(3*d*x + 3*
c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)
^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^
2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin
(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 4*(10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2 -
6*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d*x + 3/2
*c)^2)*cos(9/2*d*x + 9/2*c) + 5*(cos(3/2*d*x + 3/2*c)^3 + cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2)*cos(3*d
*x + 3*c) + 4*(16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 +
 sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 20*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2 + 16*(cos(3*d*x + 3*c
)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x
 + 3*c)^2 - 12*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x
+ 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 6*sin(3*d*x +
3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*
x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^2)*cos(5/3
*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x
 + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2)*sin(9/2*d*x + 9/2*c) - 3*(cos(3/2*d*x + 3/2*c)^2*sin(3/
2*d*x + 3/2*c) + sin(3/2*d*x + 3/2*c)^3)*sin(3*d*x + 3*c) + 8*(8*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2
*d*x + 3/2*c) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*
d*x + 9/2*c) + 4*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3
*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d
*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(5*cos(3*d*x
+ 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + (5*cos(3/2*d*x +
 3/2*c)^2 - 3*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/
2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(16*(5*cos(3*d*x + 3*c)*cos(3/2*d*x +
 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c)^2 + 25*cos(3/2*d*x + 3/2*c)^3 + 16*(5*
cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 + 9*co
s(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 + 4*(10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2 - 6*cos(3/2*d*x + 3/
2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d*x + 3/2*c)^2)*cos(9/2*d*x
 + 9/2*c) + 5*(cos(3/2*d*x + 3/2*c)^3 + cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c) + 8*(5*c
os(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2)*sin(9/2
*d*x + 9/2*c) - 3*(cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + sin(3/2*d*x + 3/2*c)^3)*sin(3*d*x + 3*c))*cos
(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(25*cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c)
+ 9*sin(3/2*d*x + 3/2*c)^3)*sin(9/2*d*x + 9/2*c) + 2*(432*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(7/3*ar
ctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 128*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*a
rctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 16*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*
d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c)^2 + (cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x
 + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*
d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 12*(cos(3*d*x + 3*c)^2 + sin(3*d*x +
 3*c)^2)*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*
c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos
(3/2*d*x + 3/2*c)))^2 + 36*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c)
+ 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) +
 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2
*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(co
s(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(
3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*
x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(5*cos(3/2*d*x + 3/2*c)*sin(3*
d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 + 25*cos(3/2*d*x + 3/2*c)^2*sin(3
/2*d*x + 3/2*c) + 9*sin(3/2*d*x + 3/2*c)^3 + 108*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2
*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2
*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*s
in(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
 + 3/2*c)))^2 + 48*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos
(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3
*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 8*(5*cos(3/
2*d*x + 3/2*c)^2*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x
+ 9/2*c) + 3*(cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + sin(3/2*d*x + 3/2*c)^3)*cos(3*d*x + 3*c) + 2*(8*co
s(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(
3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 6*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d
*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/
2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x
+ 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c),
cos(3/2*d*x + 3/2*c))) + 4*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c)
+ 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) +
 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(5*
cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + (5*cos
(3/2*d*x + 3/2*c)^2 - 3*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c) + 6*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)
+ cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) +
 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 12*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/
2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d
*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(7/3*arctan2(sin(3/2*d*x + 3
/2*c), cos(3/2*d*x + 3/2*c))) + 4*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x +
3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3
/2*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)
)) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*co
s(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 12*(8*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(
3/2*d*x + 3/2*c) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9
/2*d*x + 9/2*c) + 4*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(co
s(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(
3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(5*cos(3*d
*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + (5*cos(3/2*d*
x + 3/2*c)^2 - 3*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c) + 4*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3
/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(
3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x +
3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c)
, cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(8*cos(3*d*x + 3*c)
*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*s
in(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 4*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*si
n(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + (5*cos(3/2*d*x + 3/2*c)^2 - 3*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3
*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c
)*sin(3/2*d*x + 3/2*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 25*cos(3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d*x
 + 3/2*c)^2)*sin(9/2*d*x + 9/2*c) + 5*(cos(3/2*d*x + 3/2*c)^3 + cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2)*s
in(3*d*x + 3*c) + 6*(16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*
c)^2 + sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 72*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(7/3*arcta
n2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 32*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arcta
n2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x +
 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c)^2 + 20*cos(3/2*d*x + 3/2*c)*sin
(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 12*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 96*(cos(3*d*x + 3*c)^2 + sin
(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 8*(cos(3*d*x + 3*c)^2*cos(3/
2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 1
2*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 +
 sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2 +
sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*
d*x + 3/2*c))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x
 + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x
+ 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(
sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2
*sin(3/2*d*x + 3/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*si
n(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^2 + 24*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)
^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3
/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/
2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(16*(cos(3*d*x + 3*c)^2 + s
in(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)
^2 + 32*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))
^2 + 16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d
*x + 3/2*c)^2)*sin(3*d*x + 3*c)^2 + 20*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 12*cos(3*d
*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x
 + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos
(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*co
s(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3
/2*c), cos(3/2*d*x + 3/2*c))) + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x +
3/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2
*c) + 9*sin(3/2*d*x + 3/2*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(11/3*arctan2
(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 12*(128*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arct
an2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 16*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x
 + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c)^2 + 36*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x
 + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*
d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x +
3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), co
s(3/2*d*x + 3/2*c)))^2 + 16*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c)
 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)
+ 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16
*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 +
25*cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + 9*sin(3/2*d*x + 3/2*c)^3 + 48*(cos(3*d*x + 3*c)^2*sin(3/2*d*x
 + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x
+ 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(5/3*arctan2(
sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 8*(5*cos(3/2*d*x + 3/2*c)^2*sin(3*d*x + 3*c) + 3*cos(3*d*x +
3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 3*(cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x +
 3/2*c) + sin(3/2*d*x + 3/2*c)^3)*cos(3*d*x + 3*c) + 12*(8*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x +
 3/2*c) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x +
9/2*c) + 4*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x +
 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3
*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(5*cos(3*d*x + 3*c)
*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + (5*cos(3/2*d*x + 3/2*c
)^2 - 3*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c) + 4*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x +
3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3
*c)*cos(3/2*d*x + 3/2*c) + 8*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), c
os(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2
*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(8*cos(3*d*x + 3*c)*cos(3/2*
d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*
x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 4*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x
 + 3/2*c))*sin(9/2*d*x + 9/2*c) + (5*cos(3/2*d*x + 3/2*c)^2 - 3*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c))*cos(
5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2
*d*x + 3/2*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 25*cos(3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d*x + 3/2*c)
^2)*sin(9/2*d*x + 9/2*c) + 5*(cos(3/2*d*x + 3/2*c)^3 + cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x
+ 3*c) + 4*(16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + si
n(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 32*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/
2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2
 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c)^2 + 20*cos(3/2*d*x + 3/2*c)*sin(3*d*x +
3*c)*sin(3/2*d*x + 3/2*c) + 12*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3
/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d
*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x
 + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3
/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*
c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*cos(3*d*x + 3*c)*s
in(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), co
s(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(16*(5*cos(3/2*d*x + 3/
2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c)^2 + 16*(cos(3*d*x + 3*c)
^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2
)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*co
s(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3
*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 + 25*cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c
) + 9*sin(3/2*d*x + 3/2*c)^3 + 8*(5*cos(3/2*d*x + 3/2*c)^2*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*cos(3/2*d*x +
 3/2*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 3*(cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + sin(3/2*
d*x + 3/2*c)^3)*cos(3*d*x + 3*c) + 8*(8*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*cos(
3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 4*(5*cos(3
*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + (5*cos(3/2*
d*x + 3/2*c)^2 - 3*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
 + 3/2*c))) + 4*(10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*
x + 3/2*c)^2 + 25*cos(3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d*x + 3/2*c)^2)*sin(9/2*d*x + 9/2*c) + 5*(cos(3/2*d*x + 3
/2*c)^3 + cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c),
 cos(3/2*d*x + 3/2*c))))*log(cos(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + sin(1/3*arctan2(
sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 - 2*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))
) + 1) + 32*(72*sin(3/2*d*x + 3/2*c)^4 + (200*cos(3/2*d*x + 3/2*c)^2 - 2217)*sin(3/2*d*x + 3/2*c)^2 + 100*cos(
3/2*d*x + 3/2*c)^2)*sin(9/2*d*x + 9/2*c) + 4*(200*cos(3/2*d*x + 3/2*c)^4 - 2053*cos(3/2*d*x + 3/2*c)^2)*sin(3/
2*d*x + 3/2*c) + 4*(144*sin(3/2*d*x + 3/2*c)^4 + 6912*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3
*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c)
, cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 2048*(cos(3*d*x + 3
*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*
c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(
3/2*d*x + 3/2*c)))^3 + 16*(80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3
/2*c)^2 - 751)*cos(3*d*x + 3*c))*cos(9/2*d*x + 9/2*c)^2 + (8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*d*x + 3*c)^2
 + 8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*sin(3*d*x + 3*c)^2 + 80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x
+ 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c) - 33*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*c
os(10/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 409*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*c
os(8/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*co
s(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(
2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3
*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 192*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(
3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x
 + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 128*(cos(3*d
*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*
x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c)
, cos(3/2*d*x + 3/2*c))) - 240*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2
*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*
c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*co
s(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 36*(8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*d*x
 + 3*c)^2 + 8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*sin(3*d*x + 3*c)^2 + 80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin
(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c) - 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x +
 3*c)^2)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3
*c)^2)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2
*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/
2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(
sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 2
40*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2
+ sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(
3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x +
3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*d*x + 3*c)^2 + 8*(2*sin(3/2*d*x
+ 3/2*c)^2 + 1)*sin(3*d*x + 3*c)^2 + 80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3
/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c) - 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(4/3*arctan2(sin(
3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(2/3*arctan2(sin(3/
2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(
3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) - 240*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin
(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*
sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
+ 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(80*cos(3/2*d*x + 3/2*c)*sin(3
*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c))*sin(9/2*d*x + 9/2*c)^2
+ 2*(200*cos(3/2*d*x + 3/2*c)^2 - 2217)*sin(3/2*d*x + 3/2*c)^2 + 108*(8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*d
*x + 3*c)^2 + 8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*sin(3*d*x + 3*c)^2 + 80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*s
in(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c) - 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x
 + 3*c)^2)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x +
 3*c)^2)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3
/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x +
3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan
2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) -
 240*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^
2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*si
n(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x
+ 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 48*(8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*d*x + 3*c)^2 + 8*(2*sin(3/2*d*
x + 3/2*c)^2 + 1)*sin(3*d*x + 3*c)^2 + 80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin
(3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c) - 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(4/3*arctan2(si
n(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(2/3*arctan2(sin(
3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*si
n(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) - 240*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*s
in(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c
)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*
x + 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 8*(80*cos(3/2*d*x + 3/2*c)^2*si
n(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 - 751*cos(3/2*d*x + 3/2*
c))*cos(3*d*x + 3*c))*cos(9/2*d*x + 9/2*c) + (48*sin(3/2*d*x + 3/2*c)^4 + (48*cos(3/2*d*x + 3/2*c)^2 - 703)*si
n(3/2*d*x + 3/2*c)^2 - 751*cos(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c) + 200*cos(3/2*d*x + 3/2*c)^2 + 2*(4*(80*co
s(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c))
*cos(9/2*d*x + 9/2*c) + (128*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 - 711*cos(3/2*d*x + 3/2*c))*cos(3*d*x
 + 3*c) - 33*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 6*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(7/3*ar
ctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arcta
n2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(10/3*arctan2(si
n(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 409*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 6*(cos(3*d*x + 3*c
)^2 + sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(cos(3*d*x + 3*c)^2
 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3
/2*d*x + 3/2*c))*cos(8/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 6*(8*(2*sin(3/2*d*x + 3/2*c)^2
 + 1)*cos(3*d*x + 3*c)^2 + 8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*sin(3*d*x + 3*c)^2 + 80*cos(3/2*d*x + 3/2*c)*sin(3
*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c) - 519*(cos(3*d*x + 3*c)^
2 + sin(3*d*x + 3*c)^2)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(cos(3*d*x + 3*c)^2
+ sin(3*d*x + 3*c)^2)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 64*(cos(3*d*x + 3*c)^2*si
n(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 128*(cos(3*d*x + 3*c)^2*s
in(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*s
in(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
 + 3/2*c))) - 240*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(
3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*
d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2
(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*d*x + 3*c)^2 + 8*(2*
sin(3/2*d*x + 3/2*c)^2 + 1)*sin(3*d*x + 3*c)^2 + 80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)
 + (48*sin(3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c) - 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(4/3*
arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(2/3*ar
ctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x +
 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) - 240*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x
+ 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d
*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c),
cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 519*(5*cos(3*d*x + 3*c)
*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2
*d*x + 3/2*c))) - 88*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(2
/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*
d*x + 3/2*c) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c))*sin(9/2*d*x + 9/2*c) - (48*sin(3/2*d*x + 3/
2*c)^3 - (80*cos(3/2*d*x + 3/2*c)^2 + 727)*sin(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c) + 33*(5*cos(3/2*d*x + 3/2*c)
*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 6*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(
7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3
*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(10/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/
2*c))) + 409*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 6*(cos(3*d*x
 + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(cos(3*d*x +
3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(8/3*arctan2(sin
(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 6*(16*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)
 + 16*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*
sin(3/2*d*x + 3/2*c) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*
cos(9/2*d*x + 9/2*c) + 192*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c)
- 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*c
os(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + s
in(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*
d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - (48*sin(3
/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c) + 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(4/3*arctan2(sin(
3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(2/3*arctan2(sin(3/
2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*s
in(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(
3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
+ 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(16*cos(3*d*x + 3*c)^2*cos(3/2*d*
x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 16*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 80*cos(3*d
*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x
+ 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x
 + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/
2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - (48*sin(3/2*d*x +
 3/2*c)^2 - 751)*sin(3*d*x + 3*c) + 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(4/3*arctan2(sin(3/2*d*x
+ 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(2/3*arctan2(sin(3/2*d*x +
3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x
 + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x
+ 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)
)))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 519*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c
) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88
*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(2/3*arctan2(sin(3/2*d
*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(8*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5
*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 4*(5*
cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + (5*cos
(3/2*d*x + 3/2*c)^2 - 3*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/
2*d*x + 3/2*c))))*cos(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 33*(36*(cos(3*d*x + 3*c)^2 +
 sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(cos(3*d*x + 3*c)^2 +
 sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 10*cos(3/2*d*x + 3/2*c)*
sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 108*(cos(3*d*x + 3*c)^2 +
sin(3*d*x + 3*c)^2)*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 48*(cos(3*d*x + 3*c)^2 +
sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 25*cos(3/2*d*x + 3/2*c)^2
 + 12*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(s
in(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(7/3*arctan2(sin(3/2
*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/
2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(5*cos(3/2*d*x + 3/2*c)*sin(3
*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^2 + 12*(c
os(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin
(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*cos(3*d*x + 3*c)*sin(3/2*
d*x + 3/2*c) + 12*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
+ 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x +
 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x +
9/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(5/3*arctan2(s
in(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(10/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 4
09*(36*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^
2 + 16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^
2 + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2
+ 108*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2
 + 48*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2
 + 25*cos(3/2*d*x + 3/2*c)^2 + 12*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x
 + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2
*c))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)
 - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(
5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*si
n(3/2*d*x + 3/2*c)^2 + 12*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) +
 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) +
 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 12*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/
2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(cos(
3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*
d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x
 + 3/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(8/3*arctan2(sin(3/2*d*x + 3/2*c),
 cos(3/2*d*x + 3/2*c))) + 12*(4*(80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d
*x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c))*cos(9/2*d*x + 9/2*c) + (128*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2
 - 711*cos(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c) + 4*(8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*d*x + 3*c)^2 + 8*(2*
sin(3/2*d*x + 3/2*c)^2 + 1)*sin(3*d*x + 3*c)^2 + 80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)
 + (48*sin(3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c) - 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(4/3*
arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(2/3*ar
ctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x +
 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) - 240*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x
+ 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d
*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c),
cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 519*(5*cos(3*d*x + 3*c)
*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2
*d*x + 3/2*c))) - 88*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(2
/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*
d*x + 3/2*c) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c))*sin(9/2*d*x + 9/2*c) - (48*sin(3/2*d*x + 3/
2*c)^3 - (80*cos(3/2*d*x + 3/2*c)^2 + 727)*sin(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c) + 4*(16*cos(3*d*x + 3*c)^2*c
os(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 16*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 8
0*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + s
in(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) +
sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2
*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - (48*sin(
3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c) + 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(4/3*arctan2(sin
(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(2/3*arctan2(sin(3
/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*
sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos
(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
 + 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 519*(5*cos(3/2*d*x + 3/2*c)*sin(3*
d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*
c))) + 88*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(2/3*arctan2(
sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(8*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*
c) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c
) + 4*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)
 + (5*cos(3/2*d*x + 3/2*c)^2 - 3*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c
), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(4*(80*cos(3/2*d*x
 + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c))*cos(9/2*
d*x + 9/2*c) + (128*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 - 711*cos(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c) -
 519*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(4/3*arctan2(sin(3
/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin
(3/2*d*x + 3/2*c))*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(80*cos(3*d*x + 3*c)*cos(3
/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c))*sin(9/2*d*x + 9/2*c
) - (48*sin(3/2*d*x + 3/2*c)^3 - (80*cos(3/2*d*x + 3/2*c)^2 + 727)*sin(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c) + 51
9*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(4/3*arctan2(sin(3/2*
d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/
2*d*x + 3/2*c))*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(8*cos(3*d*x + 3*c)*cos(3/2
*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d
*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 4*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*
x + 3/2*c))*sin(9/2*d*x + 9/2*c) + (5*cos(3/2*d*x + 3/2*c)^2 - 3*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c))*sin
(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x +
 3/2*c))) - 519*(10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*
x + 3/2*c)^2 + 25*cos(3/2*d*x + 3/2*c)^2 + 8*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin
(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^2)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(
3/2*d*x + 3/2*c))) - 88*(10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 6*cos(3*d*x + 3*c)*si
n(3/2*d*x + 3/2*c)^2 + 25*cos(3/2*d*x + 3/2*c)^2 + 8*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x +
3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^2)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*
c), cos(3/2*d*x + 3/2*c))) + 8*(72*sin(3/2*d*x + 3/2*c)^3 + (48*sin(3/2*d*x + 3/2*c)^3 - 727*sin(3/2*d*x + 3/2
*c))*cos(3*d*x + 3*c) + 40*(2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 + cos(3/2*d*x + 3/2*c))*sin(3*d*x +
3*c) + (200*cos(3/2*d*x + 3/2*c)^2 - 2253)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 80*(cos(3/2*d*x + 3/2*
c)*sin(3/2*d*x + 3/2*c)^3 + (cos(3/2*d*x + 3/2*c)^3 + cos(3/2*d*x + 3/2*c))*sin(3/2*d*x + 3/2*c))*sin(3*d*x +
3*c) + 66*(5*cos(3/2*d*x + 3/2*c)^2*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3
/2*c) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/
2*c) + 6*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3
*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(
3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin
(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 6*(cos(3*d*x + 3*c)^2*cos(3/
2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2
*d*x + 9/2*c) + 6*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
+ 3/2*c))) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3
/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/
2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2
*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))
)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(10/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2
*d*x + 3/2*c))) + 818*(5*cos(3/2*d*x + 3/2*c)^2*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin
(3/2*d*x + 3/2*c) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(
9/2*d*x + 9/2*c) + 6*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(c
os(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*
arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*
x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 6*(cos(3*d*x + 3
*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c
)^2)*cos(9/2*d*x + 9/2*c) + 6*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c),
cos(3/2*d*x + 3/2*c))) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos
(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(cos(3*d*x + 3*c)^2*cos(
3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9
/2*d*x + 9/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*
x + 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(8/3*arctan2(sin(3/2*d*x + 3/2*
c), cos(3/2*d*x + 3/2*c))) + 12*(128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x
 + 3/2*c))*cos(9/2*d*x + 9/2*c)^2 + 8*(sin(3/2*d*x + 3/2*c)^3 + (cos(3/2*d*x + 3/2*c)^2 + 1)*sin(3/2*d*x + 3/2
*c))*cos(3*d*x + 3*c)^2 + 576*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*
c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))
)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 256*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c
) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin
(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 12
8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 +
 8*(sin(3/2*d*x + 3/2*c)^3 + (cos(3/2*d*x + 3/2*c)^2 + 1)*sin(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c)^2 + 72*sin(3/
2*d*x + 3/2*c)^3 + 768*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15
*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(5
/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 64*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)*sin(3/
2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 2*(48*si
n(3/2*d*x + 3/2*c)^3 - 727*sin(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c) + 6*(16*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2
*c)*sin(3/2*d*x + 3/2*c) + 16*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 80*cos(3*d*x + 3*
c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^
2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)
^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), c
os(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - (48*sin(3/2*d*x + 3/2*c)
^2 - 751)*sin(3*d*x + 3*c) + 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c
), cos(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c),
 cos(3/2*d*x + 3/2*c))) - 240*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)
^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c
) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos
(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(16*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)*sin(
3/2*d*x + 3/2*c) + 16*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 80*cos(3*d*x + 3*c)*cos(3
/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/
2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c) + 519*(cos(3*d*x + 3
*c)^2 + sin(3*d*x + 3*c)^2)*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x + 3*c
)^2 + sin(3*d*x + 3*c)^2)*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(cos(3*d*x + 3*c)
^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2
)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*si
n(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
+ 3/2*c))) - 519*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3
*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*cos(3*
d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(cos(3*d*x
+ 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x +
3*c)^2)*sin(9/2*d*x + 9/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2
*c))*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(4*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*
d*x + 3*c)^2 + 4*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*sin(3*d*x + 3*c)^2 + 80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*
sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c))*sin(9/2*d*x + 9/2*c) + 80*(2*cos(3/
2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 + cos(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c) + (200*cos(3/2*d*x + 3/2*c)^2 -
 2253)*sin(3/2*d*x + 3/2*c) + 12*(8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*d*x + 3*c)^2 + 8*(2*sin(3/2*d*x + 3/2
*c)^2 + 1)*sin(3*d*x + 3*c)^2 + 80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*
x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c) - 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(4/3*arctan2(sin(3/2*d
*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(2/3*arctan2(sin(3/2*d*x
 + 3/2*c), cos(3/2*d*x + 3/2*c))) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d
*x + 3/2*c))*sin(9/2*d*x + 9/2*c) - 240*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*
d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3
*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2
*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 519*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/
2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2
*c))*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c
) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)
)*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 120*(16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c
)^2)*cos(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 16*(cos(3
*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)
*sin(3*d*x + 3*c)^2 + 20*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 12*cos(3*d*x + 3*c)*sin(
3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2)*cos
(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^
2*sin(3/2*d*x + 3/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*s
in(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*
sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c)
 + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c)^2 + 8*(sin(3/2*d*x + 3/2*c)^3 + (cos(3/2*d*x
+ 3/2*c)^2 + 1)*sin(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c)^2 + 256*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(
3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x
 + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 128*(cos(3
*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 + 8*(sin(
3/2*d*x + 3/2*c)^3 + (cos(3/2*d*x + 3/2*c)^2 + 1)*sin(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c)^2 + 72*sin(3/2*d*x +
3/2*c)^3 + 64*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x +
 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 2*(48*sin(3/2*d*x + 3/2*c)^3 - 727*sin(3/2*d*x + 3/2*c))*
cos(3*d*x + 3*c) + 4*(16*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 16*cos(3/2*d*x + 3/2*c
)*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 64
*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) - (4
8*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c) + 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(4/3*arcta
n2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(2/3*arctan2
(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3
/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*
c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3
/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 519*(cos(3*d*x + 3*c)^2*sin(
3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9
/2*d*x + 9/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(4/3*
arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x
 + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 10*cos(3/2
*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c)
, cos(3/2*d*x + 3/2*c))) + 8*(4*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*d*x + 3*c)^2 + 4*(2*sin(3/2*d*x + 3/2*c)^
2 + 1)*sin(3*d*x + 3*c)^2 + 80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x +
3/2*c)^2 - 751)*cos(3*d*x + 3*c))*sin(9/2*d*x + 9/2*c) + 80*(2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 + c
os(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c) + (200*cos(3/2*d*x + 3/2*c)^2 - 2253)*sin(3/2*d*x + 3/2*c) + 519*(cos(3*
d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*
x + 3*c)^2)*cos(9/2*d*x + 9/2*c))*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x
 + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x +
 3*c)^2)*cos(9/2*d*x + 9/2*c))*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 120*(16*(cos(3*d
*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*c
os(3*d*x + 3*c)^2 + 16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c
)^2 + sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c)^2 + 20*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*
c) + 12*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3
/2*c)*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x
 + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*cos(3*d*x +
 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2
*c), cos(3/2*d*x + 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 1038*(5*cos(3/2*d*
x + 3/2*c)^2*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*cos(3/2*d*
x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c))*sin(4/3*arctan2(s
in(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 176*(5*cos(3/2*d*x + 3/2*c)^2*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3
*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c
)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c))*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 2
40*(16*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c
)^2 + 16*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2
*c)^2 + 25*cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + 9*sin(3/2*d*x + 3/2*c)^3 + 8*(5*cos(3/2*d*x + 3/2*c)^
2*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 3*(c
os(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + sin(3/2*d*x + 3/2*c)^3)*cos(3*d*x + 3*c) + 4*(10*cos(3/2*d*x + 3/
2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 25*cos(3/2*d*x + 3/2*
c)^2 + 9*sin(3/2*d*x + 3/2*c)^2)*sin(9/2*d*x + 9/2*c) + 5*(cos(3/2*d*x + 3/2*c)^3 + cos(3/2*d*x + 3/2*c)*sin(3
/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(11/3*ar
ctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 132*(216*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(7/
3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 64*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/
3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 25*cos(3/2*d*x + 3/2*c)^3 + 36*(cos(3*d*x + 3*c)^2*
cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*c
os(9/2*d*x + 9/2*c) + 10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 12*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*
cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(7/
3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3
/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 10*cos
(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/
2*c), cos(3/2*d*x + 3/2*c)))^2 + 9*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 + 36*(cos(3*d*x + 3*c)^2*cos(3/
2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2
*d*x + 9/2*c) + 6*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
+ 3/2*c))) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3
/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(cos(3*d*x + 3*c)^2*cos(3/2*d*x +
 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x +
9/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c
))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 4*(25*cos(3/2*d*x + 3/2*c)^2 + 9*sin(3/2
*d*x + 3/2*c)^2)*cos(9/2*d*x + 9/2*c) + 6*(10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2 + 48*(cos(3*d*x + 3*c)^2
 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 - 6*cos(3/2*d*x + 3/2*c)
*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*
d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 8*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3
/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)
 + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)
+ 10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*
d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 9*sin(3/2*d*x + 3/2*c)^2 + 8*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) +
 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/
3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2 - 6*cos
(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 8*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3
*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d*x + 3/2*c)^2)
*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 12*(5*cos(3/2*d*x + 3/2*c)^2*sin(3*d*x + 3*c)
+ 3*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) +
3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 6*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3
*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d
*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(5*cos(3
/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*
c), cos(3/2*d*x + 3/2*c))) + 4*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c
)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3
*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos
(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(5*cos(3/2*d*x + 3/2*c)^
2*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*cos(3/2*d*x + 3/2*c)*
sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 4*(5*cos(3/2*d*x + 3/2*c)*s
in(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x +
 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(10/3*arctan2(sin(3/2*d*x + 3/2*c)
, cos(3/2*d*x + 3/2*c))) + 1636*(216*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3
/2*c), cos(3/2*d*x + 3/2*c)))^3 + 64*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3
/2*c), cos(3/2*d*x + 3/2*c)))^3 + 25*cos(3/2*d*x + 3/2*c)^3 + 36*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + co
s(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 10*
cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 12*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d
*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(7/3*arctan2(sin(3/2*d*x + 3
/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x
 + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 10*cos(3*d*x + 3*c)*cos(3/2*d*x
 + 3/2*c) - 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c
)))^2 + 9*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 + 36*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*
d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 6*(cos(3*
d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(cos(3*d*x
 + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(
sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3
/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 4*(cos(3*d*x + 3
*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(5/3*arctan2(sin(
3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 4*(25*cos(3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d*x + 3/2*c)^2)*cos(9/2*
d*x + 9/2*c) + 6*(10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2 + 48*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*co
s(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 - 6*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2
*d*x + 3/2*c) + 16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
 + 3/2*c)))^2 + 8*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*
d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*s
in(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 10*cos(3*d*x + 3*c)*cos
(3/2*d*x + 3/2*c) - 6*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
 + 3/2*c))) + 9*sin(3/2*d*x + 3/2*c)^2 + 8*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3
/2*d*x + 3/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3
/2*c), cos(3/2*d*x + 3/2*c))) + 4*(10*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2 - 6*cos(3/2*d*x + 3/2*c)*sin(3*d
*x + 3*c)*sin(3/2*d*x + 3/2*c) + 8*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x +
 3/2*c))*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d*x + 3/2*c)^2)*cos(5/3*arctan2(sin(3/2*
d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 12*(5*cos(3/2*d*x + 3/2*c)^2*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*cos(
3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/
2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 6*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2
*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
+ 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x
 + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))
) + 4*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)
^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(si
n(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(
7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(5*cos(3/2*d*x + 3/2*c)^2*sin(3*d*x + 3*c) + 3*co
s(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(
3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3
*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(5/3*arctan
2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(8/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) +
 24*(144*sin(3/2*d*x + 3/2*c)^4 + 2048*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d
*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x +
 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 16*(80*cos(3/2*d*x + 3/2*c)*sin(3*
d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c))*cos(9/2*d*x + 9/2*c)^2 +
 36*(8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*d*x + 3*c)^2 + 8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*sin(3*d*x + 3*c)^2
 + 80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x
 + 3*c) - 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/
2*c))) - 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*
c))) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/
2*c) + 128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x
+ 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(5/3*arctan2(s
in(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^
2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/
2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2
*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(8*(2*sin(3/2*d*x + 3/2*c
)^2 + 1)*cos(3*d*x + 3*c)^2 + 8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*sin(3*d*x + 3*c)^2 + 80*cos(3/2*d*x + 3/2*c)*si
n(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c) - 519*(cos(3*d*x + 3*
c)^2 + sin(3*d*x + 3*c)^2)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(cos(3*d*x + 3*c)
^2 + sin(3*d*x + 3*c)^2)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 64*(cos(3*d*x + 3*c)^2
*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) - 240*(cos(3*d*x + 3*c)^
2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)
*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin
(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x +
 3/2*c)))^2 + 16*(80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^2 -
 751)*cos(3*d*x + 3*c))*sin(9/2*d*x + 9/2*c)^2 + 2*(200*cos(3/2*d*x + 3/2*c)^2 - 2217)*sin(3/2*d*x + 3/2*c)^2
+ 48*(8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*d*x + 3*c)^2 + 8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*sin(3*d*x + 3*c)^
2 + 80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*
x + 3*c) - 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3
/2*c))) - 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2
*c))) + 64*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9
/2*c) - 240*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x
+ 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x +
3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(5/3*arctan2(sin(3
/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 8*(80*cos(3/2*d*x + 3/2*c)^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)
 + (48*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 - 751*cos(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c))*cos(9/2*d*x +
 9/2*c) + (48*sin(3/2*d*x + 3/2*c)^4 + (48*cos(3/2*d*x + 3/2*c)^2 - 703)*sin(3/2*d*x + 3/2*c)^2 - 751*cos(3/2*
d*x + 3/2*c)^2)*cos(3*d*x + 3*c) + 200*cos(3/2*d*x + 3/2*c)^2 + 12*(4*(80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c
)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c))*cos(9/2*d*x + 9/2*c) + (128*cos(3
/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 - 711*cos(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c) + 4*(8*(2*sin(3/2*d*x + 3/
2*c)^2 + 1)*cos(3*d*x + 3*c)^2 + 8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*sin(3*d*x + 3*c)^2 + 80*cos(3/2*d*x + 3/2*c)
*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c) - 519*(cos(3*d*x +
 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(cos(3*d*x + 3
*c)^2 + sin(3*d*x + 3*c)^2)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 64*(cos(3*d*x + 3*c
)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) - 240*(cos(3*d*x + 3*
c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)
^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*
sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*
x + 3/2*c))) - 519*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(4/3
*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*
d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(80*cos(3*d*
x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c))*sin(9
/2*d*x + 9/2*c) - (48*sin(3/2*d*x + 3/2*c)^3 - (80*cos(3/2*d*x + 3/2*c)^2 + 727)*sin(3/2*d*x + 3/2*c))*sin(3*d
*x + 3*c) + 4*(16*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 16*cos(3/2*d*x + 3/2*c)*sin(3
*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 64*(cos(3
*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 128*(cos(
3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3
*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2
*c), cos(3/2*d*x + 3/2*c))) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c) + 519*(cos(3*d*x + 3*c)^2 + s
in(3*d*x + 3*c)^2)*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x + 3*c)^2 + sin
(3*d*x + 3*c)^2)*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(cos(3*d*x + 3*c)^2*cos(3/
2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2
*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arc
tan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))
) + 519*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(4/3*arctan2(si
n(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*
sin(3/2*d*x + 3/2*c))*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(8*cos(3*d*x + 3*c)*c
os(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin
(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 4*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(
3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + (5*cos(3/2*d*x + 3/2*c)^2 - 3*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c
))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2
*d*x + 3/2*c))) + 8*(4*(80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*
c)^2 - 751)*cos(3*d*x + 3*c))*cos(9/2*d*x + 9/2*c) + (128*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 - 711*co
s(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c) - 519*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3
/2*d*x + 3/2*c))*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(5*cos(3*d*x + 3*c)*cos(3/2
*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3
/2*c))) + 4*(80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - (48*sin(3/2*d*x + 3/2*c)^2 - 751)
*sin(3*d*x + 3*c))*sin(9/2*d*x + 9/2*c) - (48*sin(3/2*d*x + 3/2*c)^3 - (80*cos(3/2*d*x + 3/2*c)^2 + 727)*sin(3
/2*d*x + 3/2*c))*sin(3*d*x + 3*c) + 519*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*
d*x + 3/2*c))*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(5*cos(3/2*d*x + 3/2*c)*sin(3*
d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*
c))) - 240*(8*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x
 + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 4*(5*cos(3*d*x + 3*c)*cos(3/2*d*x +
3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + (5*cos(3/2*d*x + 3/2*c)^2 - 3*sin(3/2
*d*x + 3/2*c)^2)*sin(3*d*x + 3*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arcta
n2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 519*(10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x +
3/2*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 25*cos(3/2*d*x + 3/2*c)^2 + 8*(5*cos(3/2*d*x + 3/2*c)*sin
(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^2)*cos(
4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/
2*d*x + 3/2*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 25*cos(3/2*d*x + 3/2*c)^2 + 8*(5*cos(3/2*d*x + 3/
2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)
^2)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(72*sin(3/2*d*x + 3/2*c)^3 + (48*sin(3/2*
d*x + 3/2*c)^3 - 727*sin(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c) + 40*(2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^
2 + cos(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c) + (200*cos(3/2*d*x + 3/2*c)^2 - 2253)*sin(3/2*d*x + 3/2*c))*sin(9/2
*d*x + 9/2*c) + 80*(cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^3 + (cos(3/2*d*x + 3/2*c)^3 + cos(3/2*d*x + 3/2*
c))*sin(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c) + 8*(128*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c
)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c)^2 + 8*(sin(3/2*d*x + 3/2*c)^3 + (cos(3/2*d*x + 3/2*c)^2 + 1)*si
n(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c)^2 + 256*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin
(3/2*d*x + 3/2*c) - 15*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2
*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 128*(cos(3*d*x + 3*c)^2*sin(
3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 + 8*(sin(3/2*d*x + 3/2*c)^3
 + (cos(3/2*d*x + 3/2*c)^2 + 1)*sin(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c)^2 + 72*sin(3/2*d*x + 3/2*c)^3 + 64*(cos
(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2*sin(3/2*d*
x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 2*(48*sin(3/2*d*x + 3/2*c)^3 - 727*sin(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c) +
 4*(16*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 16*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)
^2*sin(3/2*d*x + 3/2*c) + 80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 64*(cos(3*d*x + 3*c)
^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) - (48*sin(3/2*d*x + 3/
2*c)^2 - 751)*sin(3*d*x + 3*c) + 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(4/3*arctan2(sin(3/2*d*x + 3
/2*c), cos(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(2/3*arctan2(sin(3/2*d*x + 3/2
*c), cos(3/2*d*x + 3/2*c))) - 240*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x +
3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3
/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))
*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 519*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) +
 sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) +
10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(4/3*arctan2(sin(3/2*d*
x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*
d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(
3*d*x + 3*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/
2*c))) + 8*(4*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*d*x + 3*c)^2 + 4*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*sin(3*d*x +
 3*c)^2 + 80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^2 - 751)*co
s(3*d*x + 3*c))*sin(9/2*d*x + 9/2*c) + 80*(2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 + cos(3/2*d*x + 3/2*c
))*sin(3*d*x + 3*c) + (200*cos(3/2*d*x + 3/2*c)^2 - 2253)*sin(3/2*d*x + 3/2*c) + 519*(cos(3*d*x + 3*c)^2*cos(3
/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/
2*d*x + 9/2*c))*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(cos(3*d*x + 3*c)^2*cos(3/2*
d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 4*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(9/2*d
*x + 9/2*c))*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 120*(16*(cos(3*d*x + 3*c)^2 + sin(
3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2
+ 16*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (cos(3/2*d*x + 3/2*c)^2 + sin(3/2*d*x
+ 3/2*c)^2)*sin(3*d*x + 3*c)^2 + 20*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 12*cos(3*d*x
+ 3*c)*sin(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(3*d*x +
3*c)^2)*cos(9/2*d*x + 9/2*c) + 25*cos(3/2*d*x + 3/2*c)^2 + 8*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*
d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x
+ 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(3/2*d*x + 3/2*c)^2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x +
 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 1038*(5*cos(3/2*d*x + 3/2*c)^2*sin(3
*d*x + 3*c) + 3*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d
*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c))*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c
), cos(3/2*d*x + 3/2*c))) + 176*(5*cos(3/2*d*x + 3/2*c)^2*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*cos(3/2*d*x +
3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/
2*c))*cos(9/2*d*x + 9/2*c))*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(16*(5*cos(3/2*
d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c)^2 + 16*(5*cos(3/
2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 + 25*cos(3/2
*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + 9*sin(3/2*d*x + 3/2*c)^3 + 8*(5*cos(3/2*d*x + 3/2*c)^2*sin(3*d*x + 3*c)
 + 3*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 3*(cos(3/2*d*x + 3/2*c
)^2*sin(3/2*d*x + 3/2*c) + sin(3/2*d*x + 3/2*c)^3)*cos(3*d*x + 3*c) + 4*(10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3
*c)*sin(3/2*d*x + 3/2*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 25*cos(3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d
*x + 3/2*c)^2)*sin(9/2*d*x + 9/2*c) + 5*(cos(3/2*d*x + 3/2*c)^3 + cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2)
*sin(3*d*x + 3*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x +
 3/2*c), cos(3/2*d*x + 3/2*c))) + 16*(144*sin(3/2*d*x + 3/2*c)^4 + 16*(80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c
)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c))*cos(9/2*d*x + 9/2*c)^2 + 16*(8*(2
*sin(3/2*d*x + 3/2*c)^2 + 1)*cos(3*d*x + 3*c)^2 + 8*(2*sin(3/2*d*x + 3/2*c)^2 + 1)*sin(3*d*x + 3*c)^2 + 80*cos
(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c) -
 519*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) -
88*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 64
*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) - 24
0*(cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 4*(cos(3*d*x + 3*c)^2 +
 sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3
/2*d*x + 3/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3
/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*sin(
3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c))*sin(9/2*d*x + 9/2*c)^2 + 2*(200*cos(3/2*d*x + 3/2*c)^2 - 2217)*sin
(3/2*d*x + 3/2*c)^2 + 8*(80*cos(3/2*d*x + 3/2*c)^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + (48*cos(3/2*d*x + 3
/2*c)*sin(3/2*d*x + 3/2*c)^2 - 751*cos(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c))*cos(9/2*d*x + 9/2*c) + (48*sin(3/2*
d*x + 3/2*c)^4 + (48*cos(3/2*d*x + 3/2*c)^2 - 703)*sin(3/2*d*x + 3/2*c)^2 - 751*cos(3/2*d*x + 3/2*c)^2)*cos(3*
d*x + 3*c) + 200*cos(3/2*d*x + 3/2*c)^2 + 8*(4*(80*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)
+ (48*sin(3/2*d*x + 3/2*c)^2 - 751)*cos(3*d*x + 3*c))*cos(9/2*d*x + 9/2*c) + (128*cos(3/2*d*x + 3/2*c)*sin(3/2
*d*x + 3/2*c)^2 - 711*cos(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c) - 519*(5*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) -
3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(5*
cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(2/3*arctan2(sin(3/2*d*x +
 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(80*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - (48*sin(3
/2*d*x + 3/2*c)^2 - 751)*sin(3*d*x + 3*c))*sin(9/2*d*x + 9/2*c) - (48*sin(3/2*d*x + 3/2*c)^3 - (80*cos(3/2*d*x
 + 3/2*c)^2 + 727)*sin(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c) + 519*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*c
os(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 88*(5*cos
(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(2/3*arctan2(sin(3/2*d*x + 3/
2*c), cos(3/2*d*x + 3/2*c))) - 240*(8*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*cos(3/
2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 4*(5*cos(3*d
*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + (5*cos(3/2*d*
x + 3/2*c)^2 - 3*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x +
 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 519*(10*cos(3/2*d*x + 3/2*c)*sin(3*d
*x + 3*c)*sin(3/2*d*x + 3/2*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 25*cos(3/2*d*x + 3/2*c)^2 + 8*(5*
cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 9*sin(
3/2*d*x + 3/2*c)^2)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 88*(10*cos(3/2*d*x + 3/2*c)
*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 25*cos(3/2*d*x + 3/2*c)^2
 + 8*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)
+ 9*sin(3/2*d*x + 3/2*c)^2)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(72*sin(3/2*d*x +
 3/2*c)^3 + (48*sin(3/2*d*x + 3/2*c)^3 - 727*sin(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c) + 40*(2*cos(3/2*d*x + 3/2*
c)*sin(3/2*d*x + 3/2*c)^2 + cos(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c) + (200*cos(3/2*d*x + 3/2*c)^2 - 2253)*sin(3
/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 80*(cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^3 + (cos(3/2*d*x + 3/2*c
)^3 + cos(3/2*d*x + 3/2*c))*sin(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c) + 1038*(5*cos(3/2*d*x + 3/2*c)^2*sin(3*d*x
+ 3*c) + 3*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x +
3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c))*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), co
s(3/2*d*x + 3/2*c))) + 176*(5*cos(3/2*d*x + 3/2*c)^2*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c
)*sin(3/2*d*x + 3/2*c) + 4*(5*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))
*cos(9/2*d*x + 9/2*c))*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 240*(16*(5*cos(3/2*d*x +
 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c)^2 + 16*(5*cos(3/2*d*x
 + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 + 25*cos(3/2*d*x
+ 3/2*c)^2*sin(3/2*d*x + 3/2*c) + 9*sin(3/2*d*x + 3/2*c)^3 + 8*(5*cos(3/2*d*x + 3/2*c)^2*sin(3*d*x + 3*c) + 3*
cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 3*(cos(3/2*d*x + 3/2*c)^2*s
in(3/2*d*x + 3/2*c) + sin(3/2*d*x + 3/2*c)^3)*cos(3*d*x + 3*c) + 4*(10*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*s
in(3/2*d*x + 3/2*c) + 6*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 25*cos(3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d*x +
3/2*c)^2)*sin(9/2*d*x + 9/2*c) + 5*(cos(3/2*d*x + 3/2*c)^3 + cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2)*sin(
3*d*x + 3*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*
c), cos(3/2*d*x + 3/2*c))) + 2076*(25*cos(3/2*d*x + 3/2*c)^3 + 9*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 +
 4*(25*cos(3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d*x + 3/2*c)^2)*cos(9/2*d*x + 9/2*c))*sin(4/3*arctan2(sin(3/2*d*x +
3/2*c), cos(3/2*d*x + 3/2*c))) + 352*(25*cos(3/2*d*x + 3/2*c)^3 + 9*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^
2 + 4*(25*cos(3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d*x + 3/2*c)^2)*cos(9/2*d*x + 9/2*c))*sin(2/3*arctan2(sin(3/2*d*x
 + 3/2*c), cos(3/2*d*x + 3/2*c))) - 480*(25*cos(3/2*d*x + 3/2*c)^4 + 34*cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3
/2*c)^2 + 9*sin(3/2*d*x + 3/2*c)^4 + 16*(25*cos(3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d*x + 3/2*c)^2)*cos(9/2*d*x + 9
/2*c)^2 + 16*(25*cos(3/2*d*x + 3/2*c)^2 + 9*sin(3/2*d*x + 3/2*c)^2)*sin(9/2*d*x + 9/2*c)^2 + 8*(25*cos(3/2*d*x
 + 3/2*c)^3 + 9*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2)*cos(9/2*d*x + 9/2*c) + 8*(25*cos(3/2*d*x + 3/2*c)
^2*sin(3/2*d*x + 3/2*c) + 9*sin(3/2*d*x + 3/2*c)^3)*sin(9/2*d*x + 9/2*c))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c)
, cos(3/2*d*x + 3/2*c))))/((25*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^4 + 34*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2*sin(
3/2*d*x + 3/2*c)^2 + 9*sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^4 + (sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(
3*d*x + 3*c)^2)*cos(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^4 + 1296*(sqrt(2)*a^2*cos(3*d*x
+ 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^4 + 25
6*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(
3/2*d*x + 3/2*c)))^4 + (sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(11/3*arctan2(sin(
3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^4 + 1296*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*
c)^2)*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^4 + 256*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + s
qrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^4 + 2*(sqrt(2)*a^2
*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 5*sqrt(2)*a^2
*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*
cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 12*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2
 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(sqrt(2)*a
^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/
2*c))))*cos(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 432*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*
cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 5*sqrt(2)*a^2*cos(3*d*x + 3*c)*co
s(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 +
 sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*
d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*
c), cos(3/2*d*x + 3/2*c)))^3 + 128*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*
d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 5*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*
x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*d*
x + 9/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 2*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2
*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*
c)*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2
+ sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 12*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(
3*d*x + 3*c)^2)*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)
^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(11/3*ar
ctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 432*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c
) + sqrt(2)*a^2*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)
+ 3*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*
d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(5
/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3
/2*c)))^3 + 128*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3*d*x + 3*c)^2*sin(3/2*
d*x + 3/2*c) + 5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*
x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c))*sin(5/3
*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 16*(25*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 + 9*sqrt(2
)*a^2*sin(3/2*d*x + 3/2*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (20*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2
 - 12*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 25*sqrt(2)*a^2*cos(3/2*d*x + 3/
2*c)^2 + 9*sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2 + 16*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3
*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 + sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2)*cos(
3*d*x + 3*c)^2 + 216*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2
*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 96*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)
*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)
*a^2*sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 + sqrt(2)*a^2*sin(3/2*d*
x + 3/2*c)^2)*sin(3*d*x + 3*c)^2 + 72*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(7/
3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 32*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*si
n(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 8*(sqrt(2)*a^2*cos(3*d*x +
3*c)^2*cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 10*sqrt(2)*a^2*cos(3*d*x +
 3*c)*cos(3/2*d*x + 3/2*c) - 6*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 36*(s
qrt(2)*a^2*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 5*s
qrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sq
rt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 8*(sqrt(2)*a^2*cos(3*d*x
 + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(
7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 24*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/
2*c) + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 5*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*
c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin
(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(sqrt(
2)*a^2*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*
d*x + 9/2*c) + 12*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3*d*x + 3*c)^2*sin(3/
2*d*x + 3/2*c) + 5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*
d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 8*(s
qrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*
d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)
^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 5*sqrt(2)*a^2*cos(3/2*d*x + 3/
2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^
2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x +
3/2*c))))*cos(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 36*(20*sqrt(2)*a^2*cos(3*d*x + 3*c
)*cos(3/2*d*x + 3/2*c)^2 - 12*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 25*sqrt
(2)*a^2*cos(3/2*d*x + 3/2*c)^2 + 9*sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2 + 16*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + s
qrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 + sqrt(2)*a^2*sin(
3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 96*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*
cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*
a^2*sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 + sqrt(2)*a^2*sin(3/2*d*x
 + 3/2*c)^2)*sin(3*d*x + 3*c)^2 + 32*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(5/3
*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*
c) + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 10*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c
) - 6*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 24*(sqrt(2)*a^2*cos(3*d*x + 3*
c)^2*cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 5*sqrt(2)*a^2*cos(3*d*x + 3*
c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c
)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
+ 3/2*c))) + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3*d*x + 3*c)^2*sin(3/2*d
*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3
*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(3
*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(9/2
*d*x + 9/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2
*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(20*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2 - 12*sqrt(2)*a^2*co
s(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 25*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 + 9*sqrt(2)*a
^2*sin(3/2*d*x + 3/2*c)^2 + 16*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*d*x +
 9/2*c)^2 + (sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 + sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 16*
(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (sqrt(2)*a^2*cos(3/
2*d*x + 3/2*c)^2 + sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c)^2 + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*
cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 10*sqrt(2)*a^2*cos(3*d*x + 3*c)*c
os(3/2*d*x + 3/2*c) - 6*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 8*(sqrt(2)*a
^2*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x
+ 9/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(25*sqrt(2)*a^2*cos(3/2*d*x + 3/
2*c)^2 + 9*sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (20*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*s
in(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 12*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 25*sqrt(2)*a^2
*cos(3/2*d*x + 3/2*c)^2 + 9*sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2 + 16*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*
a^2*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 + sqrt(2)*a^2*sin(3/2*d*x
 + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 2*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(11/3
*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 72*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin
(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 32*(sqrt(2)*a^2*cos(3*d*x +
3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(
sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (sqrt(2)*a^2*cos(3/2
*d*x + 3/2*c)^2 + sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c)^2 + 216*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2
 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 96*(sqrt(2
)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x +
 3/2*c)))^2 + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*
d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 2*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(
3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 5*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(
3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/
2*d*x + 9/2*c) + 12*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*
d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos
(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
+ 3/2*c))) + 12*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*
d*x + 3*c)^2 + 5*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*
x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 8*(sqr
t(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*
x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2
*cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 5*sqrt(2)*a^2*cos(3*d*x + 3*c)*c
os(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2
+ sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/
2*c))) + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3*d*x + 3*c)^2*sin(3/2*d*x +
 3/2*c) + 10*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x +
3/2*c))*sin(9/2*d*x + 9/2*c) + 36*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3*d*x
 + 3*c)^2*sin(3/2*d*x + 3/2*c) + 5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(3*d*x
 + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(9/2*d*x
 + 9/2*c) + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x +
3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 24*(sqrt(2)*a^2
*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 5*sqrt(2)*a^2
*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*
cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c
), cos(3/2*d*x + 3/2*c))))*sin(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 36*(20*sqrt(2)*a^
2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 12*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3
/2*c)^2 + 25*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 + 9*sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2 + 16*(sqrt(2)*a^2*cos(3
*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 +
 sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 72*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin
(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 32*(sqrt(2)*a^2*cos(3*d*x +
3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(
sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (sqrt(2)*a^2*cos(3/2
*d*x + 3/2*c)^2 + sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c)^2 + 96*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2
+ sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 8*(sqrt(2)*
a^2*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2)*cos(9/2*d*x
 + 9/2*c) + 12*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d
*x + 3*c)^2 + 5*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x
 + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 8*(sqrt
(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
 + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*
cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 5*sqrt(2)*a^2*cos(3*d*x + 3*c)*co
s(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 +
 sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2
*c))) + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3*d*x + 3*c)^2*sin(3/2*d*x +
3/2*c) + 10*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3
/2*c))*sin(9/2*d*x + 9/2*c) + 24*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3*d*x
+ 3*c)^2*sin(3/2*d*x + 3/2*c) + 5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(3*d*x
+ 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(9/2*d*x
+ 9/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c),
cos(3/2*d*x + 3/2*c)))^2 + 16*(20*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 12*
sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 25*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 + 9*sqrt(2)*a^2*si
n(3/2*d*x + 3/2*c)^2 + 16*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*
c)^2 + (sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 + sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 32*(sqrt
(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
 + 3/2*c)))^2 + 16*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 +
(sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 + sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c)^2 + 8*(sqrt(2)*a^2*
cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9
/2*c) + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x +
3*c)^2 + 5*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/
2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c))*cos(5/3*arcta
n2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sqr
t(2)*a^2*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 10*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*sq
rt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), c
os(3/2*d*x + 3/2*c)))^2 + 8*(25*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^3 + 9*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3/
2*d*x + 3/2*c)^2)*cos(9/2*d*x + 9/2*c) + 2*(25*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^3 + 9*sqrt(2)*a^2*cos(3/2*d*x
+ 3/2*c)*sin(3/2*d*x + 3/2*c)^2 + 432*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(7/
3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 128*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*s
in(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^3 + 16*(5*sqrt(2)*a^2*cos(3*d*
x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c)^2 +
108*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2
 + 5*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) +
 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 8*(sqrt(2)*a^2*cos
(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))
)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 48*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*cos(3/2*
d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 5*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*
x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)
*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2
+ 16*(5*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c
))*sin(9/2*d*x + 9/2*c)^2 + 36*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x
+ 3/2*c)*sin(3*d*x + 3*c)^2 + 5*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x +
3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*d*x +
9/2*c) + 12*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/
2*c), cos(3/2*d*x + 3/2*c))) + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(5/3*arc
tan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))
)^2 + 16*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3
*c)^2 + 5*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2
*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 8*(sqrt(2)*a^
2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2
*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 4*(10*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos
(3/2*d*x + 3/2*c)^2 - 6*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 25*sqrt(2)*a^
2*cos(3/2*d*x + 3/2*c)^2 + 9*sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2)*cos(9/2*d*x + 9/2*c) + 5*(sqrt(2)*a^2*cos(3/2
*d*x + 3/2*c)^3 + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c) + 6*(20*sqrt(2)*a^
2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2 - 12*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x +
 3/2*c) + 25*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 + 9*sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2 + 16*(sqrt(2)*a^2*cos(3
*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 +
 sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 96*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin
(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(sqrt(2)*a^2*cos(3*d*x +
3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 + sqrt(2
)*a^2*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c)^2 + 32*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x
+ 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*c
os(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 10*sqrt(2)*a^2*cos(3*d*x + 3*c)*co
s(3/2*d*x + 3/2*c) - 6*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 24*(sqrt(2)*a
^2*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 5*sqrt(2)*a
^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^
2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2
*c), cos(3/2*d*x + 3/2*c))) + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3*d*x +
 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) +
sqrt(2)*a^2*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*
sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x
+ 3*c)^2)*sin(9/2*d*x + 9/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(
sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(20*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2 - 12*
sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 25*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2
 + 9*sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2 + 16*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)
*cos(9/2*d*x + 9/2*c)^2 + (sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 + sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x
+ 3*c)^2 + 16*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (sqrt
(2)*a^2*cos(3/2*d*x + 3/2*c)^2 + sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c)^2 + 8*(sqrt(2)*a^2*cos(3
*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 10*sqrt(2)*a^2*cos(
3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 6*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c)
+ 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c)
)*sin(9/2*d*x + 9/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(5*sqrt(2)*a^2*cos(3*
d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2)*
sin(9/2*d*x + 9/2*c) - 3*(sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3/2*d*x +
3/2*c)^3)*sin(3*d*x + 3*c) + 12*(8*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*
(5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*co
s(9/2*d*x + 9/2*c) + 6*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3*d*x + 3*c)^2*s
in(3/2*d*x + 3/2*c) + 5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin
(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) +
 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos
(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(sqrt(2)*a^2*cos(3*d*x +
 3*c)^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 5*sqrt(2)*a^2*cos(3/2*d*x
 + 3/2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x +
3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d
*x + 3/2*c))) + 4*(5*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/
2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + (5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 - 3*sqrt(2)*a^2*sin(3/2*d*x + 3/2
*c)^2)*sin(3*d*x + 3*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x + 3
/2*c)*sin(3*d*x + 3*c)^2 + 5*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c
)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2
*c) + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c)
, cos(3/2*d*x + 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/
2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(8*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x +
3/2*c) + 4*(5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x +
 3/2*c))*cos(9/2*d*x + 9/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3*d*x
 + 3*c)^2*sin(3/2*d*x + 3/2*c) + 5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(3*d*x
 + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(9/2*d*x
 + 9/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(5*sqrt(2)*a^2*cos(3*d*x + 3*c)*co
s(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + (5*sqrt(2)*a^
2*cos(3/2*d*x + 3/2*c)^2 - 3*sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c))*sin(5/3*arctan2(sin(3/2*d*x
 + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 12*(25*sqrt
(2)*a^2*cos(3/2*d*x + 3/2*c)^3 + 9*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2 + 128*(sqrt(2)*a^2*
cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c
)))^3 + 16*(5*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x +
 3/2*c))*cos(9/2*d*x + 9/2*c)^2 + 48*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/
2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 5*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*
d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*
d*x + 9/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(5*sqrt(2)*a^2*cos(3*d*x + 3
*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 + 16*(s
qrt(2)*a^2*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 5*s
qrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sq
rt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 8*(sqrt(2)*a^2*cos(3*d*x
 + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(
5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 4*(10*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x +
3/2*c)^2 - 6*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 25*sqrt(2)*a^2*cos(3/2*d
*x + 3/2*c)^2 + 9*sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2)*cos(9/2*d*x + 9/2*c) + 5*(sqrt(2)*a^2*cos(3/2*d*x + 3/2*
c)^3 + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c) + 4*(20*sqrt(2)*a^2*cos(3*d*x
 + 3*c)*cos(3/2*d*x + 3/2*c)^2 - 12*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 2
5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 + 9*sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2 + 16*(sqrt(2)*a^2*cos(3*d*x + 3*c)
^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 + sqrt(2)*a^
2*sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 16*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*
c)^2)*sin(9/2*d*x + 9/2*c)^2 + (sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 + sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2)*sin(3
*d*x + 3*c)^2 + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(
3*d*x + 3*c)^2 + 10*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 6*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2
*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin
(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
+ 3/2*c))) + 8*(5*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3
*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2)*sin(9/2*d*x + 9/2*c) - 3*(sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x +
 3/2*c) + sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^3)*sin(3*d*x + 3*c) + 8*(8*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x
 + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(3*
d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c)
 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) +
 3*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d
*x + 3*c)^2)*sin(9/2*d*x + 9/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(5*sqrt(2)
*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x
+ 9/2*c) + (5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 - 3*sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c))*sin
(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x +
 3/2*c))) + 8*(25*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^3 + 9*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)
^2 + 16*(5*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/
2*c))*cos(9/2*d*x + 9/2*c)^2 + 16*(5*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d
*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 + 4*(10*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*
c)^2 - 6*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 25*sqrt(2)*a^2*cos(3/2*d*x +
 3/2*c)^2 + 9*sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2)*cos(9/2*d*x + 9/2*c) + 5*(sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^3
 + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c) + 8*(5*sqrt(2)*a^2*cos(3*d*x + 3*
c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2)*sin(9/2*
d*x + 9/2*c) - 3*(sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^3
)*sin(3*d*x + 3*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(25*sqrt(2)*a^2*cos(3/2*d
*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + 9*sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^3)*sin(9/2*d*x + 9/2*c) + 2*(25*sqrt(2
)*a^2*cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + 9*sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^3 + 432*(sqrt(2)*a^2*co
s(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))
)^3 + 128*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*
c), cos(3/2*d*x + 3/2*c)))^3 + 16*(5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(3*d
*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c)^2 + (sqrt(2)*a^2*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c)
+ sqrt(2)*a^2*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) +
3*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*
x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 12*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(7/
3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3
*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(11/3*arctan2(sin(3/2*d*x + 3/
2*c), cos(3/2*d*x + 3/2*c)))^2 + 36*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3*d
*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(3*d
*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(9/2*d
*x + 9/2*c) + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x
+ 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(sqrt(2)
*a^2*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 5*sqrt(2)
*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*
a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3
/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(
3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 + 108*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*sin(3/2*d*x +
3/2*c) + sqrt(2)*a^2*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x +
3*c) + 3*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*s
in(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*
sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*
x + 3/2*c)))^2 + 48*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3*d*x + 3*c)^2*sin(
3/2*d*x + 3/2*c) + 5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/
2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c))*sin
(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 8*(5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2*sin(3*d*
x + 3*c) + 3*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 3*
(sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^3)*cos(3*d*x + 3*c
) + 2*(8*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*sqrt(2)*a^2*cos(3/2*d*x
 + 3/2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 6*(sq
rt(2)*a^2*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 5*sq
rt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqr
t(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 8*(sqrt(2)*a^2*cos(3*d*x
+ 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7
/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*
c) + sqrt(2)*a^2*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)
 + 3*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3
*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(5*sqrt(
2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*
x + 9/2*c) + (5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 - 3*sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c) +
6*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 +
 5*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4
*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 12*(sqrt(2)*a^2*cos(
3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))
+ 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), co
s(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(sqrt(2)*a^2*cos(3*d*x
+ 3*c)^2*cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 5*sqrt(2)*a^2*cos(3*d*x
+ 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x +
 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a
^2*sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(5/3*arctan2(sin(3/2*d
*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 12*(8*sqr
t(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*si
n(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 4*(sqrt(2)*a^2*co
s(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 5*sqrt(2)*a^2*co
s(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos
(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c),
cos(3/2*d*x + 3/2*c))) + 4*(5*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*
c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + (5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 - 3*sqrt(2)*a^2*sin(3/2*
d*x + 3/2*c)^2)*sin(3*d*x + 3*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/
2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 5*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*
d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*
d*x + 9/2*c) + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x
 + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arcta
n2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(8*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3
/2*d*x + 3/2*c) + 4*(5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(
3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 4*(5*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^
2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + (5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 - 3*sqrt
(2)*a^2*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))
 + 4*(10*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 6*sqrt(2)*a^2*cos(3*d*x + 3*
c)*sin(3/2*d*x + 3/2*c)^2 + 25*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 + 9*sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2)*sin(
9/2*d*x + 9/2*c) + 5*(sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^3 + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*
c)^2)*sin(3*d*x + 3*c) + 6*(20*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 12*sqr
t(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 25*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 + 9*sqrt(2)*a^2*sin(3
/2*d*x + 3/2*c)^2 + 16*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^
2 + (sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 + sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 72*(sqrt(2)
*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x +
3/2*c)))^2 + 32*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x
+ 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(
9/2*d*x + 9/2*c)^2 + (sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 + sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c
)^2 + 96*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c
), cos(3/2*d*x + 3/2*c)))^2 + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x
 + 3/2*c)*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 12*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) +
 sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 5*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3
*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x
 + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(5/3*
arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*
c))) + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3
*c)^2 + 5*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2
*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c))*cos(5/3*arctan
2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sqrt
(2)*a^2*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 10*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*sqr
t(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + 24*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*sin(
3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*si
n(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqr
t(2)*a^2*sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))
))*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(20*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3
*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 12*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 25*sqrt(2)*a^2*cos
(3/2*d*x + 3/2*c)^2 + 9*sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2 + 16*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*
sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 + sqrt(2)*a^2*sin(3/2*d*x + 3
/2*c)^2)*cos(3*d*x + 3*c)^2 + 32*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(5/3*arc
tan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d
*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 + sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2
)*sin(3*d*x + 3*c)^2 + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x + 3/2*
c)*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + sqrt(2)
*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 5*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)
*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^
2)*cos(9/2*d*x + 9/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(sqrt(2)*a^2*cos(3*d
*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 10*sqrt(2)*a^2*cos(3/
2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c))*s
in(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*
x + 3/2*c))) + 12*(25*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x + 3/2*c) + 9*sqrt(2)*a^2*sin(3/2*d*x + 3/
2*c)^3 + 128*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(5/3*arctan2(sin(3/2*d*x + 3
/2*c), cos(3/2*d*x + 3/2*c)))^3 + 16*(5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(
3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c)^2 + 36*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3
/2*c) + sqrt(2)*a^2*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3
*c) + 3*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*si
n(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c) + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*s
in(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
 + 3/2*c)))^2 + 16*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3*d*x + 3*c)^2*sin(3
/2*d*x + 3/2*c) + 5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2
*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c))*cos(
5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x
+ 3*c) + 3*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 + 48*(sqrt(2)*a^2*cos(3*d
*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 5*sqrt(2)*a^2*cos(3/2
*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*
x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3
/2*d*x + 3/2*c)))^2 + 8*(5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(3*d*x + 3*c
)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 3*(sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2*sin(
3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^3)*cos(3*d*x + 3*c) + 12*(8*sqrt(2)*a^2*cos(3*d*x + 3*c)*c
os(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*
a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*sin(3/2*d*
x + 3/2*c) + sqrt(2)*a^2*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*
x + 3*c) + 3*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a
^2*sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*
(5*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*si
n(9/2*d*x + 9/2*c) + (5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 - 3*sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x +
 3*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x +
3*c)^2 + 5*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/
2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 8*(sqrt(2)*a
^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/
2*c))))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), co
s(3/2*d*x + 3/2*c))) + 8*(8*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*sqrt
(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d
*x + 9/2*c) + 4*(5*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*
d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + (5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 - 3*sqrt(2)*a^2*sin(3/2*d*x + 3/2*c
)^2)*sin(3*d*x + 3*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(10*sqrt(2)*a^2*cos(3/
2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 6*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 +
 25*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 + 9*sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2)*sin(9/2*d*x + 9/2*c) + 5*(sqrt(
2)*a^2*cos(3/2*d*x + 3/2*c)^3 + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c) + 4*
(20*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 12*sqrt(2)*a^2*cos(3*d*x + 3*c)*s
in(3/2*d*x + 3/2*c)^2 + 25*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 + 9*sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2 + 16*(sqr
t(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c)^2 + (sqrt(2)*a^2*cos(3/2*d*
x + 3/2*c)^2 + sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2)*cos(3*d*x + 3*c)^2 + 32*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + s
qrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*(sqrt(2)*a^
2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c)^2 + (sqrt(2)*a^2*cos(3/2*d*x + 3/2
*c)^2 + sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c)^2 + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*cos(3/2*d*x
 + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c) + 8*(sqrt(2)*a^2*cos(3*d
*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 5*sqrt(2)*a^2*cos(3*d
*x + 3*c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*
x + 3*c)^2 + sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*cos(9/2*d*x + 9/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3
/2*d*x + 3/2*c))) + 8*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3*d*x + 3*c)^2*si
n(3/2*d*x + 3/2*c) + 10*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 6*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin
(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(7/3
*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(25*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2*sin(3/2*d*x +
 3/2*c) + 9*sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^3 + 16*(5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*s
qrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c)^2 + 16*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*
sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c
)*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 4*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 +
 sqrt(2)*a^2*sin(3*d*x + 3*c)^2)*sin(9/2*d*x + 9/2*c))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2
*c)))^2 + 16*(5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x
 + 3/2*c))*sin(9/2*d*x + 9/2*c)^2 + 8*(5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*c
os(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 3*(sqrt(2)*a^2*cos(3/2*d*x +
 3/2*c)^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^3)*cos(3*d*x + 3*c) + 8*(8*sqrt(2)*a^2*cos(3
*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c) + 4*(5*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)
 + 3*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*cos(9/2*d*x + 9/2*c) + 4*(5*sqrt(2)*a^2*cos(3*d*x + 3*
c)*cos(3/2*d*x + 3/2*c) - 3*sqrt(2)*a^2*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*sin(9/2*d*x + 9/2*c) + (5*sqrt(
2)*a^2*cos(3/2*d*x + 3/2*c)^2 - 3*sqrt(2)*a^2*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c))*cos(5/3*arctan2(sin(3/
2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(10*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*sin(3/2*d*x +
 3/2*c) + 6*sqrt(2)*a^2*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)^2 + 25*sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^2 + 9*sq
rt(2)*a^2*sin(3/2*d*x + 3/2*c)^2)*sin(9/2*d*x + 9/2*c) + 5*(sqrt(2)*a^2*cos(3/2*d*x + 3/2*c)^3 + sqrt(2)*a^2*c
os(3/2*d*x + 3/2*c)*sin(3/2*d*x + 3/2*c)^2)*sin(3*d*x + 3*c))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*
x + 3/2*c))))*sqrt(a)*d)

Giac [F]

\[ \int \frac {\cos ^{\frac {3}{2}}(c+d x)}{(a+a \sec (c+d x))^{5/2}} \, dx=\int { \frac {\cos \left (d x + c\right )^{\frac {3}{2}}}{{\left (a \sec \left (d x + c\right ) + a\right )}^{\frac {5}{2}}} \,d x } \]

[In]

integrate(cos(d*x+c)^(3/2)/(a+a*sec(d*x+c))^(5/2),x, algorithm="giac")

[Out]

integrate(cos(d*x + c)^(3/2)/(a*sec(d*x + c) + a)^(5/2), x)

Mupad [F(-1)]

Timed out. \[ \int \frac {\cos ^{\frac {3}{2}}(c+d x)}{(a+a \sec (c+d x))^{5/2}} \, dx=\int \frac {{\cos \left (c+d\,x\right )}^{3/2}}{{\left (a+\frac {a}{\cos \left (c+d\,x\right )}\right )}^{5/2}} \,d x \]

[In]

int(cos(c + d*x)^(3/2)/(a + a/cos(c + d*x))^(5/2),x)

[Out]

int(cos(c + d*x)^(3/2)/(a + a/cos(c + d*x))^(5/2), x)