\(\int \frac {\cos ^{\frac {3}{2}}(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{(a+a \sec (c+d x))^{5/2}} \, dx\) [1287]

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

Optimal result

Integrand size = 45, antiderivative size = 281 \[ \int \frac {\cos ^{\frac {3}{2}}(c+d x) \left (A+B \sec (c+d x)+C \sec ^2(c+d x)\right )}{(a+a \sec (c+d x))^{5/2}} \, dx=\frac {(163 A-75 B+19 C) \text {arctanh}\left (\frac {\sqrt {a} \sqrt {\sec (c+d x)} \sin (c+d x)}{\sqrt {2} \sqrt {a+a \sec (c+d x)}}\right ) \sqrt {\cos (c+d x)} \sqrt {\sec (c+d x)}}{16 \sqrt {2} a^{5/2} d}-\frac {(A-B+C) \sqrt {\cos (c+d x)} \sin (c+d x)}{4 d (a+a \sec (c+d x))^{5/2}}-\frac {(17 A-9 B+C) \sqrt {\cos (c+d x)} \sin (c+d x)}{16 a d (a+a \sec (c+d x))^{3/2}}-\frac {(299 A-147 B+27 C) \sin (c+d x)}{48 a^2 d \sqrt {\cos (c+d x)} \sqrt {a+a \sec (c+d x)}}+\frac {(95 A-39 B+15 C) \sqrt {\cos (c+d x)} \sin (c+d x)}{48 a^2 d \sqrt {a+a \sec (c+d x)}} \]

[Out]

-1/4*(A-B+C)*sin(d*x+c)*cos(d*x+c)^(1/2)/d/(a+a*sec(d*x+c))^(5/2)-1/16*(17*A-9*B+C)*sin(d*x+c)*cos(d*x+c)^(1/2
)/a/d/(a+a*sec(d*x+c))^(3/2)+1/32*(163*A-75*B+19*C)*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)-1/48*(299*A-147*B+27*C)*sin(d*x+c)/a
^2/d/cos(d*x+c)^(1/2)/(a+a*sec(d*x+c))^(1/2)+1/48*(95*A-39*B+15*C)*sin(d*x+c)*cos(d*x+c)^(1/2)/a^2/d/(a+a*sec(
d*x+c))^(1/2)

Rubi [A] (verified)

Time = 1.37 (sec) , antiderivative size = 281, normalized size of antiderivative = 1.00, number of steps used = 7, number of rules used = 7, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.156, Rules used = {4350, 4169, 4105, 4107, 4098, 3893, 212} \[ \int \frac {\cos ^{\frac {3}{2}}(c+d x) \left (A+B \sec (c+d x)+C \sec ^2(c+d x)\right )}{(a+a \sec (c+d x))^{5/2}} \, dx=\frac {(163 A-75 B+19 C) \sqrt {\cos (c+d x)} \sqrt {\sec (c+d x)} \text {arctanh}\left (\frac {\sqrt {a} \sin (c+d x) \sqrt {\sec (c+d x)}}{\sqrt {2} \sqrt {a \sec (c+d x)+a}}\right )}{16 \sqrt {2} a^{5/2} d}+\frac {(95 A-39 B+15 C) \sin (c+d x) \sqrt {\cos (c+d x)}}{48 a^2 d \sqrt {a \sec (c+d x)+a}}-\frac {(299 A-147 B+27 C) \sin (c+d x)}{48 a^2 d \sqrt {\cos (c+d x)} \sqrt {a \sec (c+d x)+a}}-\frac {(17 A-9 B+C) \sin (c+d x) \sqrt {\cos (c+d x)}}{16 a d (a \sec (c+d x)+a)^{3/2}}-\frac {(A-B+C) \sin (c+d x) \sqrt {\cos (c+d x)}}{4 d (a \sec (c+d x)+a)^{5/2}} \]

[In]

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

[Out]

((163*A - 75*B + 19*C)*ArcTanh[(Sqrt[a]*Sqrt[Sec[c + d*x]]*Sin[c + d*x])/(Sqrt[2]*Sqrt[a + a*Sec[c + d*x]])]*S
qrt[Cos[c + d*x]]*Sqrt[Sec[c + d*x]])/(16*Sqrt[2]*a^(5/2)*d) - ((A - B + C)*Sqrt[Cos[c + d*x]]*Sin[c + d*x])/(
4*d*(a + a*Sec[c + d*x])^(5/2)) - ((17*A - 9*B + C)*Sqrt[Cos[c + d*x]]*Sin[c + d*x])/(16*a*d*(a + a*Sec[c + d*
x])^(3/2)) - ((299*A - 147*B + 27*C)*Sin[c + d*x])/(48*a^2*d*Sqrt[Cos[c + d*x]]*Sqrt[a + a*Sec[c + d*x]]) + ((
95*A - 39*B + 15*C)*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 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 4169

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

Rule 4350

Int[(cos[(a_.) + (b_.)*(x_)]*(c_.))^(m_.)*(u_), x_Symbol] :> Dist[(c*Cos[a + b*x])^m*(c*Sec[a + b*x])^m, Int[A
ctivateTrig[u]/(c*Sec[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 {A+B \sec (c+d x)+C \sec ^2(c+d x)}{\sec ^{\frac {3}{2}}(c+d x) (a+a \sec (c+d x))^{5/2}} \, dx \\ & = -\frac {(A-B+C) \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 {1}{2} a (11 A-3 B+3 C)-a (3 A-3 B-C) \sec (c+d x)}{\sec ^{\frac {3}{2}}(c+d x) (a+a \sec (c+d x))^{3/2}} \, dx}{4 a^2} \\ & = -\frac {(A-B+C) \sqrt {\cos (c+d x)} \sin (c+d x)}{4 d (a+a \sec (c+d x))^{5/2}}-\frac {(17 A-9 B+C) \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 {1}{4} a^2 (95 A-39 B+15 C)-a^2 (17 A-9 B+C) \sec (c+d x)}{\sec ^{\frac {3}{2}}(c+d x) \sqrt {a+a \sec (c+d x)}} \, dx}{8 a^4} \\ & = -\frac {(A-B+C) \sqrt {\cos (c+d x)} \sin (c+d x)}{4 d (a+a \sec (c+d x))^{5/2}}-\frac {(17 A-9 B+C) \sqrt {\cos (c+d x)} \sin (c+d x)}{16 a d (a+a \sec (c+d x))^{3/2}}+\frac {(95 A-39 B+15 C) \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 {1}{8} a^3 (299 A-147 B+27 C)+\frac {1}{4} a^3 (95 A-39 B+15 C) \sec (c+d x)}{\sqrt {\sec (c+d x)} \sqrt {a+a \sec (c+d x)}} \, dx}{12 a^5} \\ & = -\frac {(A-B+C) \sqrt {\cos (c+d x)} \sin (c+d x)}{4 d (a+a \sec (c+d x))^{5/2}}-\frac {(17 A-9 B+C) \sqrt {\cos (c+d x)} \sin (c+d x)}{16 a d (a+a \sec (c+d x))^{3/2}}-\frac {(299 A-147 B+27 C) \sin (c+d x)}{48 a^2 d \sqrt {\cos (c+d x)} \sqrt {a+a \sec (c+d x)}}+\frac {(95 A-39 B+15 C) \sqrt {\cos (c+d x)} \sin (c+d x)}{48 a^2 d \sqrt {a+a \sec (c+d x)}}+\frac {\left ((163 A-75 B+19 C) \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 {(A-B+C) \sqrt {\cos (c+d x)} \sin (c+d x)}{4 d (a+a \sec (c+d x))^{5/2}}-\frac {(17 A-9 B+C) \sqrt {\cos (c+d x)} \sin (c+d x)}{16 a d (a+a \sec (c+d x))^{3/2}}-\frac {(299 A-147 B+27 C) \sin (c+d x)}{48 a^2 d \sqrt {\cos (c+d x)} \sqrt {a+a \sec (c+d x)}}+\frac {(95 A-39 B+15 C) \sqrt {\cos (c+d x)} \sin (c+d x)}{48 a^2 d \sqrt {a+a \sec (c+d x)}}-\frac {\left ((163 A-75 B+19 C) \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 A-75 B+19 C) \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 {(A-B+C) \sqrt {\cos (c+d x)} \sin (c+d x)}{4 d (a+a \sec (c+d x))^{5/2}}-\frac {(17 A-9 B+C) \sqrt {\cos (c+d x)} \sin (c+d x)}{16 a d (a+a \sec (c+d x))^{3/2}}-\frac {(299 A-147 B+27 C) \sin (c+d x)}{48 a^2 d \sqrt {\cos (c+d x)} \sqrt {a+a \sec (c+d x)}}+\frac {(95 A-39 B+15 C) \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 = 3.45 (sec) , antiderivative size = 191, normalized size of antiderivative = 0.68 \[ \int \frac {\cos ^{\frac {3}{2}}(c+d x) \left (A+B \sec (c+d x)+C \sec ^2(c+d x)\right )}{(a+a \sec (c+d x))^{5/2}} \, dx=\frac {\left (-12 \sqrt {2} (163 A-75 B+19 C) \arctan \left (\frac {\sqrt {2} \sqrt {\sec (c+d x)}}{\sqrt {1-\sec (c+d x)}}\right ) \cos ^4\left (\frac {1}{2} (c+d x)\right ) \sec ^{\frac {3}{2}}(c+d x)+2 \sqrt {1-\sec (c+d x)} \left (-503 A+255 B-39 C-32 (5 A-3 B) \cos (c+d x)+32 A \cos ^2(c+d x)+(-299 A+147 B-27 C) \sec (c+d x)\right )\right ) \sin (c+d x)}{96 d \cos ^{\frac {3}{2}}(c+d x) \sqrt {1-\sec (c+d x)} (a (1+\sec (c+d x)))^{5/2}} \]

[In]

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

[Out]

((-12*Sqrt[2]*(163*A - 75*B + 19*C)*ArcTan[(Sqrt[2]*Sqrt[Sec[c + d*x]])/Sqrt[1 - Sec[c + d*x]]]*Cos[(c + d*x)/
2]^4*Sec[c + d*x]^(3/2) + 2*Sqrt[1 - Sec[c + d*x]]*(-503*A + 255*B - 39*C - 32*(5*A - 3*B)*Cos[c + d*x] + 32*A
*Cos[c + d*x]^2 + (-299*A + 147*B - 27*C)*Sec[c + d*x]))*Sin[c + d*x])/(96*d*Cos[c + d*x]^(3/2)*Sqrt[1 - Sec[c
 + d*x]]*(a*(1 + Sec[c + d*x]))^(5/2))

Maple [B] (verified)

Leaf count of result is larger than twice the leaf count of optimal. \(722\) vs. \(2(240)=480\).

Time = 0.76 (sec) , antiderivative size = 723, normalized size of antiderivative = 2.57

method result size
default \(\frac {\left (64 A \cos \left (d x +c \right )^{3} \sin \left (d x +c \right ) \sqrt {-\frac {1}{1+\cos \left (d x +c \right )}}-320 A \sin \left (d x +c \right ) \cos \left (d x +c \right )^{2} \sqrt {-\frac {1}{1+\cos \left (d x +c \right )}}-489 A \sqrt {2}\, \cos \left (d x +c \right )^{2} \arctan \left (\frac {\sin \left (d x +c \right ) \sqrt {2}}{2 \left (1+\cos \left (d x +c \right )\right ) \sqrt {-\frac {1}{1+\cos \left (d x +c \right )}}}\right )+192 B \cos \left (d x +c \right )^{2} \sin \left (d x +c \right ) \sqrt {-\frac {1}{1+\cos \left (d x +c \right )}}+225 B \sqrt {2}\, \cos \left (d x +c \right )^{2} \arctan \left (\frac {\sin \left (d x +c \right ) \sqrt {2}}{2 \left (1+\cos \left (d x +c \right )\right ) \sqrt {-\frac {1}{1+\cos \left (d x +c \right )}}}\right )-57 C \sqrt {2}\, \cos \left (d x +c \right )^{2} \arctan \left (\frac {\sin \left (d x +c \right ) \sqrt {2}}{2 \left (1+\cos \left (d x +c \right )\right ) \sqrt {-\frac {1}{1+\cos \left (d x +c \right )}}}\right )-1006 A \cos \left (d x +c \right ) \sin \left (d x +c \right ) \sqrt {-\frac {1}{1+\cos \left (d x +c \right )}}-978 A \cos \left (d x +c \right ) \sqrt {2}\, \arctan \left (\frac {\sin \left (d x +c \right ) \sqrt {2}}{2 \left (1+\cos \left (d x +c \right )\right ) \sqrt {-\frac {1}{1+\cos \left (d x +c \right )}}}\right )+510 B \cos \left (d x +c \right ) \sin \left (d x +c \right ) \sqrt {-\frac {1}{1+\cos \left (d x +c \right )}}+450 B \sqrt {2}\, \cos \left (d x +c \right ) \arctan \left (\frac {\sin \left (d x +c \right ) \sqrt {2}}{2 \left (1+\cos \left (d x +c \right )\right ) \sqrt {-\frac {1}{1+\cos \left (d x +c \right )}}}\right )-78 C \cos \left (d x +c \right ) \sin \left (d x +c \right ) \sqrt {-\frac {1}{1+\cos \left (d x +c \right )}}-114 C \cos \left (d x +c \right ) \sqrt {2}\, \arctan \left (\frac {\sin \left (d x +c \right ) \sqrt {2}}{2 \left (1+\cos \left (d x +c \right )\right ) \sqrt {-\frac {1}{1+\cos \left (d x +c \right )}}}\right )-598 A \sin \left (d x +c \right ) \sqrt {-\frac {1}{1+\cos \left (d x +c \right )}}-489 A \sqrt {2}\, \arctan \left (\frac {\sin \left (d x +c \right ) \sqrt {2}}{2 \left (1+\cos \left (d x +c \right )\right ) \sqrt {-\frac {1}{1+\cos \left (d x +c \right )}}}\right )+294 B \sin \left (d x +c \right ) \sqrt {-\frac {1}{1+\cos \left (d x +c \right )}}+225 B \arctan \left (\frac {\sin \left (d x +c \right ) \sqrt {2}}{2 \left (1+\cos \left (d x +c \right )\right ) \sqrt {-\frac {1}{1+\cos \left (d x +c \right )}}}\right ) \sqrt {2}-54 C \sin \left (d x +c \right ) \sqrt {-\frac {1}{1+\cos \left (d x +c \right )}}-57 C \sqrt {2}\, \arctan \left (\frac {\sin \left (d x +c \right ) \sqrt {2}}{2 \left (1+\cos \left (d x +c \right )\right ) \sqrt {-\frac {1}{1+\cos \left (d x +c \right )}}}\right )\right ) \sqrt {\cos \left (d x +c \right )}\, \sqrt {a \left (1+\sec \left (d x +c \right )\right )}}{96 a^{3} d \left (1+\cos \left (d x +c \right )\right )^{3} \sqrt {-\frac {1}{1+\cos \left (d x +c \right )}}}\) \(723\)

[In]

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

[Out]

1/96/a^3/d*(64*A*cos(d*x+c)^3*sin(d*x+c)*(-1/(1+cos(d*x+c)))^(1/2)-320*A*sin(d*x+c)*cos(d*x+c)^2*(-1/(1+cos(d*
x+c)))^(1/2)-489*A*2^(1/2)*cos(d*x+c)^2*arctan(1/2*sin(d*x+c)*2^(1/2)/(1+cos(d*x+c))/(-1/(1+cos(d*x+c)))^(1/2)
)+192*B*cos(d*x+c)^2*sin(d*x+c)*(-1/(1+cos(d*x+c)))^(1/2)+225*B*2^(1/2)*cos(d*x+c)^2*arctan(1/2*sin(d*x+c)*2^(
1/2)/(1+cos(d*x+c))/(-1/(1+cos(d*x+c)))^(1/2))-57*C*2^(1/2)*cos(d*x+c)^2*arctan(1/2*sin(d*x+c)*2^(1/2)/(1+cos(
d*x+c))/(-1/(1+cos(d*x+c)))^(1/2))-1006*A*cos(d*x+c)*sin(d*x+c)*(-1/(1+cos(d*x+c)))^(1/2)-978*A*cos(d*x+c)*2^(
1/2)*arctan(1/2*sin(d*x+c)*2^(1/2)/(1+cos(d*x+c))/(-1/(1+cos(d*x+c)))^(1/2))+510*B*cos(d*x+c)*sin(d*x+c)*(-1/(
1+cos(d*x+c)))^(1/2)+450*B*2^(1/2)*cos(d*x+c)*arctan(1/2*sin(d*x+c)*2^(1/2)/(1+cos(d*x+c))/(-1/(1+cos(d*x+c)))
^(1/2))-78*C*cos(d*x+c)*sin(d*x+c)*(-1/(1+cos(d*x+c)))^(1/2)-114*C*cos(d*x+c)*2^(1/2)*arctan(1/2*sin(d*x+c)*2^
(1/2)/(1+cos(d*x+c))/(-1/(1+cos(d*x+c)))^(1/2))-598*A*sin(d*x+c)*(-1/(1+cos(d*x+c)))^(1/2)-489*A*2^(1/2)*arcta
n(1/2*sin(d*x+c)*2^(1/2)/(1+cos(d*x+c))/(-1/(1+cos(d*x+c)))^(1/2))+294*B*sin(d*x+c)*(-1/(1+cos(d*x+c)))^(1/2)+
225*B*arctan(1/2*sin(d*x+c)*2^(1/2)/(1+cos(d*x+c))/(-1/(1+cos(d*x+c)))^(1/2))*2^(1/2)-54*C*sin(d*x+c)*(-1/(1+c
os(d*x+c)))^(1/2)-57*C*2^(1/2)*arctan(1/2*sin(d*x+c)*2^(1/2)/(1+cos(d*x+c))/(-1/(1+cos(d*x+c)))^(1/2)))*cos(d*
x+c)^(1/2)*(a*(1+sec(d*x+c)))^(1/2)/(1+cos(d*x+c))^3/(-1/(1+cos(d*x+c)))^(1/2)

Fricas [A] (verification not implemented)

none

Time = 0.30 (sec) , antiderivative size = 578, normalized size of antiderivative = 2.06 \[ \int \frac {\cos ^{\frac {3}{2}}(c+d x) \left (A+B \sec (c+d x)+C \sec ^2(c+d x)\right )}{(a+a \sec (c+d x))^{5/2}} \, dx=\left [\frac {3 \, \sqrt {2} {\left ({\left (163 \, A - 75 \, B + 19 \, C\right )} \cos \left (d x + c\right )^{3} + 3 \, {\left (163 \, A - 75 \, B + 19 \, C\right )} \cos \left (d x + c\right )^{2} + 3 \, {\left (163 \, A - 75 \, B + 19 \, C\right )} \cos \left (d x + c\right ) + 163 \, A - 75 \, B + 19 \, C\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 \, A \cos \left (d x + c\right )^{3} - 32 \, {\left (5 \, A - 3 \, B\right )} \cos \left (d x + c\right )^{2} - {\left (503 \, A - 255 \, B + 39 \, C\right )} \cos \left (d x + c\right ) - 299 \, A + 147 \, B - 27 \, C\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 {3 \, \sqrt {2} {\left ({\left (163 \, A - 75 \, B + 19 \, C\right )} \cos \left (d x + c\right )^{3} + 3 \, {\left (163 \, A - 75 \, B + 19 \, C\right )} \cos \left (d x + c\right )^{2} + 3 \, {\left (163 \, A - 75 \, B + 19 \, C\right )} \cos \left (d x + c\right ) + 163 \, A - 75 \, B + 19 \, C\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 \, A \cos \left (d x + c\right )^{3} - 32 \, {\left (5 \, A - 3 \, B\right )} \cos \left (d x + c\right )^{2} - {\left (503 \, A - 255 \, B + 39 \, C\right )} \cos \left (d x + c\right ) - 299 \, A + 147 \, B - 27 \, C\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+B*sec(d*x+c)+C*sec(d*x+c)^2)/(a+a*sec(d*x+c))^(5/2),x, algorithm="fricas")

[Out]

[1/192*(3*sqrt(2)*((163*A - 75*B + 19*C)*cos(d*x + c)^3 + 3*(163*A - 75*B + 19*C)*cos(d*x + c)^2 + 3*(163*A -
75*B + 19*C)*cos(d*x + c) + 163*A - 75*B + 19*C)*sqrt(a)*log(-(a*cos(d*x + c)^2 - 2*sqrt(2)*sqrt(a)*sqrt((a*co
s(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*co
s(d*x + c) + 1)) + 4*(32*A*cos(d*x + c)^3 - 32*(5*A - 3*B)*cos(d*x + c)^2 - (503*A - 255*B + 39*C)*cos(d*x + c
) - 299*A + 147*B - 27*C)*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*(3*sqrt(2)*((163*A - 75*B + 19*C)*c
os(d*x + c)^3 + 3*(163*A - 75*B + 19*C)*cos(d*x + c)^2 + 3*(163*A - 75*B + 19*C)*cos(d*x + c) + 163*A - 75*B +
 19*C)*sqrt(-a)*arctan(sqrt(2)*sqrt(-a)*sqrt((a*cos(d*x + c) + a)/cos(d*x + c))*sqrt(cos(d*x + c))/(a*sin(d*x
+ c))) - 2*(32*A*cos(d*x + c)^3 - 32*(5*A - 3*B)*cos(d*x + c)^2 - (503*A - 255*B + 39*C)*cos(d*x + c) - 299*A
+ 147*B - 27*C)*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. \[ \int \frac {\cos ^{\frac {3}{2}}(c+d x) \left (A+B \sec (c+d x)+C \sec ^2(c+d x)\right )}{(a+a \sec (c+d x))^{5/2}} \, dx=\text {Timed out} \]

[In]

integrate(cos(d*x+c)**(3/2)*(A+B*sec(d*x+c)+C*sec(d*x+c)**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. 157292 vs. \(2 (240) = 480\).

Time = 4.11 (sec) , antiderivative size = 157292, normalized size of antiderivative = 559.76 \[ \int \frac {\cos ^{\frac {3}{2}}(c+d x) \left (A+B \sec (c+d x)+C \sec ^2(c+d x)\right )}{(a+a \sec (c+d x))^{5/2}} \, dx=\text {Too large to display} \]

[In]

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

[Out]

1/96*(3*(64*cos(9/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2*sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x
 + 2*c))) + 1024*cos(7/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2*sin(1/4*arctan2(sin(2*d*x + 2*c), cos(
2*d*x + 2*c))) + 2304*cos(5/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2*sin(1/4*arctan2(sin(2*d*x + 2*c),
 cos(2*d*x + 2*c))) + 1024*cos(3/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2*sin(1/4*arctan2(sin(2*d*x +
2*c), cos(2*d*x + 2*c))) + 64*sin(9/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2*sin(1/4*arctan2(sin(2*d*x
 + 2*c), cos(2*d*x + 2*c))) + 1024*sin(7/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2*sin(1/4*arctan2(sin(
2*d*x + 2*c), cos(2*d*x + 2*c))) + 2304*sin(5/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2*sin(1/4*arctan2
(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 1024*sin(3/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2*sin(1/4*ar
ctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 64*sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^3 + 4*(12
8*cos(7/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))*sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) +
192*cos(5/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))*sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))
+ 128*cos(3/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))*sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))
) + 32*cos(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))*sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)
)) + 5*sin(4*d*x + 4*c) - 109*sin(2*d*x + 2*c) - 51*sin(3/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) - 85*
sin(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))))*cos(9/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 1
6*(192*cos(5/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))*sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)
)) + 128*cos(3/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))*sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*
c))) + 32*cos(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))*sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2
*c))) + 5*sin(4*d*x + 4*c) - 109*sin(2*d*x + 2*c) - 51*sin(3/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) -
85*sin(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))))*cos(7/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))
+ 204*(6*sin(5/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 4*sin(3/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x
+ 2*c))) + sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))))*cos(3/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x +
 2*c))) + 24*(128*cos(3/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))*sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2
*d*x + 2*c))) + 32*cos(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))*sin(1/4*arctan2(sin(2*d*x + 2*c), cos(
2*d*x + 2*c))) + 5*sin(4*d*x + 4*c) - 109*sin(2*d*x + 2*c) - 85*sin(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x +
2*c))))*cos(5/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 16*(32*cos(1/4*arctan2(sin(2*d*x + 2*c), cos(2*
d*x + 2*c)))*sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 5*sin(4*d*x + 4*c) - 109*sin(2*d*x + 2*c)
- 85*sin(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))))*cos(3/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))
) + 4*(5*sin(4*d*x + 4*c) - 109*sin(2*d*x + 2*c))*cos(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) - 75*(2
*(4*cos(7/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 6*cos(5/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c
))) + 4*cos(3/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + cos(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2
*c))))*cos(9/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + cos(9/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*
c)))^2 + 8*(6*cos(5/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 4*cos(3/4*arctan2(sin(2*d*x + 2*c), cos(2
*d*x + 2*c))) + cos(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))))*cos(7/4*arctan2(sin(2*d*x + 2*c), cos(2*
d*x + 2*c))) + 16*cos(7/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 12*(4*cos(3/4*arctan2(sin(2*d*x + 2
*c), cos(2*d*x + 2*c))) + cos(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))))*cos(5/4*arctan2(sin(2*d*x + 2*
c), cos(2*d*x + 2*c))) + 36*cos(5/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 16*cos(3/4*arctan2(sin(2*
d*x + 2*c), cos(2*d*x + 2*c)))^2 + 8*cos(3/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))*cos(1/4*arctan2(sin(
2*d*x + 2*c), cos(2*d*x + 2*c))) + cos(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 2*(4*sin(7/4*arcta
n2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 6*sin(5/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 4*sin(3/4*a
rctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))))*sin(9/4*ar
ctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + sin(9/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 8*(6*sin
(5/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 4*sin(3/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + s
in(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))))*sin(7/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 16
*sin(7/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 12*(4*sin(3/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x +
2*c))) + sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))))*sin(5/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2
*c))) + 36*sin(5/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 16*sin(3/4*arctan2(sin(2*d*x + 2*c), cos(2
*d*x + 2*c)))^2 + 8*sin(3/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))*sin(1/4*arctan2(sin(2*d*x + 2*c), cos
(2*d*x + 2*c))) + sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2)*log(cos(1/4*arctan2(sin(2*d*x + 2*c)
, cos(2*d*x + 2*c)))^2 + sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 2*sin(1/4*arctan2(sin(2*d*x
+ 2*c), cos(2*d*x + 2*c))) + 1) + 75*(2*(4*cos(7/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 6*cos(5/4*ar
ctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 4*cos(3/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + cos(1/4*
arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))))*cos(9/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + cos(9/4*a
rctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 8*(6*cos(5/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 4*
cos(3/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + cos(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))))*c
os(7/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 16*cos(7/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^
2 + 12*(4*cos(3/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + cos(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x +
 2*c))))*cos(5/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 36*cos(5/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x
 + 2*c)))^2 + 16*cos(3/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 8*cos(3/4*arctan2(sin(2*d*x + 2*c),
cos(2*d*x + 2*c)))*cos(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + cos(1/4*arctan2(sin(2*d*x + 2*c), co
s(2*d*x + 2*c)))^2 + 2*(4*sin(7/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 6*sin(5/4*arctan2(sin(2*d*x +
 2*c), cos(2*d*x + 2*c))) + 4*sin(3/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + sin(1/4*arctan2(sin(2*d*x
 + 2*c), cos(2*d*x + 2*c))))*sin(9/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + sin(9/4*arctan2(sin(2*d*x
+ 2*c), cos(2*d*x + 2*c)))^2 + 8*(6*sin(5/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 4*sin(3/4*arctan2(s
in(2*d*x + 2*c), cos(2*d*x + 2*c))) + sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))))*sin(7/4*arctan2(si
n(2*d*x + 2*c), cos(2*d*x + 2*c))) + 16*sin(7/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 12*(4*sin(3/4
*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))))*sin(5/4*
arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 36*sin(5/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 16*
sin(3/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 8*sin(3/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))
)*sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^
2)*log(cos(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x +
2*c)))^2 - 2*sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 1) + 4*(128*sin(7/4*arctan2(sin(2*d*x + 2*
c), cos(2*d*x + 2*c)))*sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 192*sin(5/4*arctan2(sin(2*d*x +
2*c), cos(2*d*x + 2*c)))*sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 128*sin(3/4*arctan2(sin(2*d*x
+ 2*c), cos(2*d*x + 2*c)))*sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 32*sin(1/4*arctan2(sin(2*d*x
 + 2*c), cos(2*d*x + 2*c)))^2 - 5*cos(4*d*x + 4*c) + 109*cos(2*d*x + 2*c) + 51*cos(3/2*arctan2(sin(2*d*x + 2*c
), cos(2*d*x + 2*c))) + 85*cos(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 16)*sin(9/4*arctan2(sin(2*d*
x + 2*c), cos(2*d*x + 2*c))) + 16*(192*sin(5/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))*sin(1/4*arctan2(si
n(2*d*x + 2*c), cos(2*d*x + 2*c))) + 128*sin(3/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))*sin(1/4*arctan2(
sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 32*sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 - 5*cos(4*d*x
 + 4*c) + 109*cos(2*d*x + 2*c) + 51*cos(3/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 85*cos(1/2*arctan2(
sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 16)*sin(7/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) - 204*(6*cos(5
/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 4*cos(3/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + cos
(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))))*sin(3/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 24*(
128*sin(3/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))*sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))
+ 32*sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 - 5*cos(4*d*x + 4*c) + 109*cos(2*d*x + 2*c) + 85*c
os(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 16)*sin(5/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))
 + 16*(32*sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 - 5*cos(4*d*x + 4*c) + 109*cos(2*d*x + 2*c) +
 85*cos(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 16)*sin(3/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2
*c))) - 340*cos(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))*sin(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x +
 2*c))) + 4*(16*cos(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 - 5*cos(4*d*x + 4*c) + 109*cos(2*d*x +
2*c) + 16)*sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 340*cos(1/2*arctan2(sin(2*d*x + 2*c), cos(2*
d*x + 2*c)))*sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))))*B*sqrt(a)/(sqrt(2)*a^3*cos(9/4*arctan2(sin(
2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 16*sqrt(2)*a^3*cos(7/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 3
6*sqrt(2)*a^3*cos(5/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 16*sqrt(2)*a^3*cos(3/4*arctan2(sin(2*d*
x + 2*c), cos(2*d*x + 2*c)))^2 + 8*sqrt(2)*a^3*cos(3/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))*cos(1/4*ar
ctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + sqrt(2)*a^3*cos(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^
2 + sqrt(2)*a^3*sin(9/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 16*sqrt(2)*a^3*sin(7/4*arctan2(sin(2*
d*x + 2*c), cos(2*d*x + 2*c)))^2 + 36*sqrt(2)*a^3*sin(5/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 16*
sqrt(2)*a^3*sin(3/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 8*sqrt(2)*a^3*sin(3/4*arctan2(sin(2*d*x +
 2*c), cos(2*d*x + 2*c)))*sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + sqrt(2)*a^3*sin(1/4*arctan2(s
in(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 2*(4*sqrt(2)*a^3*cos(7/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))
+ 6*sqrt(2)*a^3*cos(5/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 4*sqrt(2)*a^3*cos(3/4*arctan2(sin(2*d*x
 + 2*c), cos(2*d*x + 2*c))) + sqrt(2)*a^3*cos(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))))*cos(9/4*arctan
2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 8*(6*sqrt(2)*a^3*cos(5/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))
 + 4*sqrt(2)*a^3*cos(3/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + sqrt(2)*a^3*cos(1/4*arctan2(sin(2*d*x
+ 2*c), cos(2*d*x + 2*c))))*cos(7/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 12*(4*sqrt(2)*a^3*cos(3/4*a
rctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + sqrt(2)*a^3*cos(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))
)*cos(5/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 2*(4*sqrt(2)*a^3*sin(7/4*arctan2(sin(2*d*x + 2*c), co
s(2*d*x + 2*c))) + 6*sqrt(2)*a^3*sin(5/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 4*sqrt(2)*a^3*sin(3/4*
arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + sqrt(2)*a^3*sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))
))*sin(9/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 8*(6*sqrt(2)*a^3*sin(5/4*arctan2(sin(2*d*x + 2*c), c
os(2*d*x + 2*c))) + 4*sqrt(2)*a^3*sin(3/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + sqrt(2)*a^3*sin(1/4*a
rctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))))*sin(7/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 12*(4*sqrt
(2)*a^3*sin(3/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + sqrt(2)*a^3*sin(1/4*arctan2(sin(2*d*x + 2*c), c
os(2*d*x + 2*c))))*sin(5/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))) + (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*arc
tan2(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)
))^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*arcta
n2(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), 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))))*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), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(si
n(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) + 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), c
os(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)))^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 - 75
1)*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*s
in(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*ar
ctan2(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*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*c
os(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)))^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 + si
n(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 + si
n(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), 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))))*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 - 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))) - 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*c
os(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*ar
ctan2(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*(cos(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^2)*c
os(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) + si
n(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) + 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) + 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*(cos(3*d*x + 3*c)^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 + 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(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(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 + 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(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*(c
os(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*arct
an2(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 + si
n(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*ar
ctan2(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*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) +
 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*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*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(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*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*(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) + 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(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) + 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(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*si
n(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)*si
n(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*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*(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) + 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(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))*c
os(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))*si
n(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*(co
s(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*(co
s(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*arctan
2(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*s
in(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)*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))))*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)
 + 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))) - 24
0*(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*arct
an2(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*arctan
2(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 + 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(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*c
os(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*(co
s(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))) - 8
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))*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 + 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))))*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*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))) + 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)*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(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 + (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
+ 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*si
n(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))))*s
in(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)*si
n(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*(4
8*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)*c
os(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*si
n(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*(c
os(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*co
s(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)*co
s(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*co
s(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)*s
in(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*(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*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(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 64*(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))*c
os(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) + 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) + 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 + s
in(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*(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))*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*co
s(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*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)*si
n(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)*si
n(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 + 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)*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))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(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) - 15*(cos(3*d*x + 3*c)^2 + si
n(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*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)))^
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 + (co
s(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)*c
os(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*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) + 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)*c
os(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*arc
tan2(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(s
in(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) + 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))) + 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) + 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*(c
os(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*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*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), c
os(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*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*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), cos(3/2*d*x + 3/2*c))))*sin(7/3*arctan2(si
n(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)*s
in(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*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), 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), 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))) - 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*a
rctan2(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)*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) - 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), c
os(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)*si
n(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(s
in(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
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))))*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*ar
ctan2(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))*co
s(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(s
in(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)*s
in(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)*si
n(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*c
os(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 + 1
6*(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)*si
n(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)*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))*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)*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)*co
s(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*arct
an2(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*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*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(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))) - 1
636*(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))*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)*s
in(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)*co
s(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*c
os(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*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*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*arcta
n2(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), c
os(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 +
 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*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*c
os(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)*si
n(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) + 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) + 5*c
os(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)*s
in(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) + 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*s
in(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*ar
ctan2(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) + 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)*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))))*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*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(5/3*arctan2(s
in(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)*s
in(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*a
rctan2(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
))) + 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*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*s
in(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) + 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(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*arc
tan2(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*si
n(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)*co
s(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), 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
*(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)))^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 + 2
0*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)*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
+ 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 + s
in(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(si
n(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) + 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) + 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*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 +
(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*(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))*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)*s
in(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*arc
tan2(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)
+ 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))*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
*(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)))^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)*c
os(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)*c
os(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*si
n(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 + 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*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*arc
tan2(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(s
in(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*(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))) + 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))*co
s(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) + 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) + 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*(c
os(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*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(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*(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))*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
*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))*
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
*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 + s
in(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*si
n(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*co
s(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*c
os(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))))
*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)*s
in(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))*co
s(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*c
os(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) + 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) + 5*c
os(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)*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) + 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*ar
ctan2(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*ar
ctan2(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 + 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*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*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))) + 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(11/3*arct
an2(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*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 + 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*arcta
n2(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)
, 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)*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))*c
os(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 +
 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))*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))
*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*c
os(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*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))*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*arcta
n2(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*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*a
rctan2(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*arct
an2(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), 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)))^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*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*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)*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 + 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*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 + (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) + 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 + 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 + 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*(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) + 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*c
os(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*ar
ctan2(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*c
os(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 + (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*(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)*si
n(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*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*(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 + 7
2*(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 + 3
2*(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 + 1
6*(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), c
os(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*(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) + 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*(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(si
n(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)*si
n(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)*co
s(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*c
os(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*(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))*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))) + 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) + 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*c
os(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) + 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) + 5*c
os(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*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(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 12*(12
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 + 1
6*(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)*si
n(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*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))*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*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))))*c
os(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*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))*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*co
s(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*(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) + 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))))*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*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)*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))*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*(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))) - 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*arctan
2(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*(c
os(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)*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 + si
n(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)*si
n(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 + 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))) + 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*c
os(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*(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)*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(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*arctan
2(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)*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 + 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(si
n(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))*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*co
s(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*arc
tan2(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*arctan
2(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)*cos(10/3*arctan2(sin(3/2*d*x + 3/2*c), co
s(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), 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(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))) - 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)*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)*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))))*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*s
in(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)*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))) - 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)))^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 + 8
0*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) + (4
8*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 + 2*(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) - 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*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(10/3*arctan2(sin(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*arctan
2(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(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(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*s
in(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(si
n(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*si
n(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*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 + 72
7)*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)*s
in(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*arc
tan2(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))))*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))))*co
s(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)*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))) + 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*ar
ctan2(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*(c
os(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*(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))*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))) - 24
0*(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(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 + 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(10/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 409*(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*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) + 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) + 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) + 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))*c
os(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 + 72
7)*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))))*c
os(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)*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(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*arcta
n2(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) + 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))) + 8
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(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*co
s(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 - 225
3)*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*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*(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)*si
n(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*(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*a
rctan2(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*(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 + 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*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)*si
n(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(s
in(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) + 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) - (
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*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)*sin(2/3*arctan
2(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) + 12*(8*(2*s
in(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) - 5
19*(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 + s
in(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(7/3*arctan2(sin(3/2*d*x + 3/2*c), co
s(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))*co
s(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*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))*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*a
rctan2(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*arc
tan2(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(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)*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)*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), co
s(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*s
in(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)*si
n(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(s
in(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), c
os(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)*si
n(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*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*(co
s(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*(co
s(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)*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*(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) + 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*arct
an2(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)*co
s(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)*co
s(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)*s
in(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*co
s(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*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(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))) + 1
2*(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)*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*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))) + 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 + 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))))*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*si
n(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)*co
s(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*a
rctan2(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)))^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) + (4
8*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*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)*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)*c
os(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*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)))^
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*c
os(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*si
n(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*ar
ctan2(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*arct
an2(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), co
s(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)*c
os(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) + 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) + 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)*si
n(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(si
n(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) - 5
19*(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*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) + 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*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 + 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*(co
s(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), c
os(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 + 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))*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) + 8
0*(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)*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))*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*c
os(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*arct
an2(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*(14
4*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) - 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 + 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*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c))*si
n(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*c
os(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*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*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*arct
an2(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), 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(s
in(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)*si
n(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(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 2076*(25*co
s(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))))*A/((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 + 256*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sq
rt(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*co
s(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 + 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)))^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*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))))*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)*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)))^3 + 128*(sq
rt(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*sq
rt(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*(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))*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*si
n(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*co
s(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)*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)))^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*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) + 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) + 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)*si
n(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*(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))) + 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)*si
n(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*sqr
t(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*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*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)*si
n(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*si
n(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)*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 + 2*(s
qrt(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*(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*co
s(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*si
n(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*(sqr
t(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*sqr
t(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*ar
ctan2(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)*c
os(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*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*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*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*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))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(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*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 + 108*(sqrt(2)*a^2*cos(3*d*x + 3*c)^2*co
s(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 + s
qrt(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)*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))*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*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*(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*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)*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)*c
os(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))) + 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) + s
qrt(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*si
n(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*arctan
2(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*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) + 6*(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) + 8*(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))))*cos(7/3*arctan2(s
in(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*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*(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*(sqr
t(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*sqr
t(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
(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*sqr
t(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*(s
qrt(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*(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) + 4*(20*sqrt(2)*a^2*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)^2 - 12*sq
rt(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)*c
os(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)*si
n(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*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))*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)*si
n(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(si
n(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*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)))^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*s
qrt(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*(s
qrt(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*s
qrt(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*(sq
rt(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*s
in(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*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)))^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*si
n(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*(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))) + 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*si
n(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))*c
os(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 + sqr
t(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))))*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))))*c
os(11/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*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))*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) + 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*(s
qrt(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), 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*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*co
s(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 + 1
6*(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*(s
qrt(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*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))) + 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*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))))*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)*s
in(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), c
os(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) + sqr
t(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*sqr
t(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)*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*co
s(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*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))))*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*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)*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 + 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) + sqr
t(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*sqr
t(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*co
s(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*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 + 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*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c)*s
in(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*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))*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sqrt(a)) + 3*(19*(log(co
s(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - log(cos(1/2*d*x + 1/2*c)^2 + sin
(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*cos(4*d*x + 4*c)^2 + 304*(log(cos(1/2*d*x + 1/2*c)^2 + sin(
1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin
(1/2*d*x + 1/2*c) + 1))*cos(3*d*x + 3*c)^2 + 684*(log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(
1/2*d*x + 1/2*c) + 1) - log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*cos
(2*d*x + 2*c)^2 + 304*(log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - log
(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*cos(d*x + c)^2 + 19*(log(cos(1
/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - log(cos(1/2*d*x + 1/2*c)^2 + sin(1/
2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*sin(4*d*x + 4*c)^2 + 304*(log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2
*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/
2*d*x + 1/2*c) + 1))*sin(3*d*x + 3*c)^2 + 684*(log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2
*d*x + 1/2*c) + 1) - log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*sin(2*
d*x + 2*c)^2 + 304*(log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - log(co
s(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*sin(d*x + c)^2 + 2*(76*(log(cos(1
/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - log(cos(1/2*d*x + 1/2*c)^2 + sin(1/
2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*cos(3*d*x + 3*c) + 114*(log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d
*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*
d*x + 1/2*c) + 1))*cos(2*d*x + 2*c) + 76*(log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x
+ 1/2*c) + 1) - log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*cos(d*x + c
) + 19*log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - 19*log(cos(1/2*d*x
+ 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1) - 26*sin(7/2*d*x + 7/2*c) - 10*sin(5/2*d*x +
 5/2*c) + 10*sin(3/2*d*x + 3/2*c) + 26*sin(1/2*d*x + 1/2*c))*cos(4*d*x + 4*c) + 104*(2*sin(3*d*x + 3*c) + 3*si
n(2*d*x + 2*c) + 2*sin(d*x + c))*cos(7/2*d*x + 7/2*c) + 8*(114*(log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2
*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/
2*c) + 1))*cos(2*d*x + 2*c) + 76*(log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c)
 + 1) - log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*cos(d*x + c) + 19*l
og(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - 19*log(cos(1/2*d*x + 1/2*c)
^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1) - 10*sin(5/2*d*x + 5/2*c) + 10*sin(3/2*d*x + 3/2*c)
+ 26*sin(1/2*d*x + 1/2*c))*cos(3*d*x + 3*c) + 40*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*cos(5/2*d*x + 5/2*c) +
12*(76*(log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - log(cos(1/2*d*x +
1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*cos(d*x + c) + 19*log(cos(1/2*d*x + 1/2*c)^2
+ sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - 19*log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^
2 - 2*sin(1/2*d*x + 1/2*c) + 1) + 10*sin(3/2*d*x + 3/2*c) + 26*sin(1/2*d*x + 1/2*c))*cos(2*d*x + 2*c) + 8*(19*
log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - 19*log(cos(1/2*d*x + 1/2*c
)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1) + 26*sin(1/2*d*x + 1/2*c))*cos(d*x + c) + 4*(38*(lo
g(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - log(cos(1/2*d*x + 1/2*c)^2 +
 sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*sin(3*d*x + 3*c) + 57*(log(cos(1/2*d*x + 1/2*c)^2 + sin
(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*si
n(1/2*d*x + 1/2*c) + 1))*sin(2*d*x + 2*c) + 38*(log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/
2*d*x + 1/2*c) + 1) - log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*sin(d
*x + c) + 13*cos(7/2*d*x + 7/2*c) + 5*cos(5/2*d*x + 5/2*c) - 5*cos(3/2*d*x + 3/2*c) - 13*cos(1/2*d*x + 1/2*c))
*sin(4*d*x + 4*c) - 52*(4*cos(3*d*x + 3*c) + 6*cos(2*d*x + 2*c) + 4*cos(d*x + c) + 1)*sin(7/2*d*x + 7/2*c) + 1
6*(57*(log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - log(cos(1/2*d*x + 1
/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*sin(2*d*x + 2*c) + 38*(log(cos(1/2*d*x + 1/2*c
)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)
^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*sin(d*x + c) + 5*cos(5/2*d*x + 5/2*c) - 5*cos(3/2*d*x + 3/2*c) - 13*cos(1/2*
d*x + 1/2*c))*sin(3*d*x + 3*c) - 20*(6*cos(2*d*x + 2*c) + 4*cos(d*x + c) + 1)*sin(5/2*d*x + 5/2*c) + 24*(38*(l
og(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - log(cos(1/2*d*x + 1/2*c)^2
+ sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*sin(d*x + c) - 5*cos(3/2*d*x + 3/2*c) - 13*cos(1/2*d*x
 + 1/2*c))*sin(2*d*x + 2*c) + 20*(4*cos(d*x + c) + 1)*sin(3/2*d*x + 3/2*c) - 80*cos(3/2*d*x + 3/2*c)*sin(d*x +
 c) - 208*cos(1/2*d*x + 1/2*c)*sin(d*x + c) + 19*log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1
/2*d*x + 1/2*c) + 1) - 19*log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1) +
52*sin(1/2*d*x + 1/2*c))*C/((sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 16*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 36*sqrt(2)*a
^2*cos(2*d*x + 2*c)^2 + 16*sqrt(2)*a^2*cos(d*x + c)^2 + sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 16*sqrt(2)*a^2*sin(3*
d*x + 3*c)^2 + 36*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 48*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 16*sqrt(2)*a
^2*sin(d*x + c)^2 + 8*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2 + 2*(4*sqrt(2)*a^2*cos(3*d*x + 3*c) + 6*sqrt(2)*a
^2*cos(2*d*x + 2*c) + 4*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(4*d*x + 4*c) + 8*(6*sqrt(2)*a^2*cos(2*d*x
+ 2*c) + 4*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(3*d*x + 3*c) + 12*(4*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)
*a^2)*cos(2*d*x + 2*c) + 4*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*sin(2*d*x + 2*c) + 2*sqrt(2)*a^2*si
n(d*x + c))*sin(4*d*x + 4*c) + 16*(3*sqrt(2)*a^2*sin(2*d*x + 2*c) + 2*sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*
c))*sqrt(a)))/d

Giac [F]

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

[In]

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

[Out]

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

Mupad [F(-1)]

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

[In]

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

[Out]

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