\(\int \frac {\sec ^{\frac {3}{2}}(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{(a+a \sec (c+d x))^{5/2}} \, dx\) [620]

Optimal result

Integrand size = 45, antiderivative size = 201 \[ \int \frac {\sec ^{\frac {3}{2}}(c+d x) \left (A+B \sec (c+d x)+C \sec ^2(c+d x)\right )}{(a+a \sec (c+d x))^{5/2}} \, dx=\frac {2 C \text {arcsinh}\left (\frac {\sqrt {a} \tan (c+d x)}{\sqrt {a+a \sec (c+d x)}}\right )}{a^{5/2} d}+\frac {(5 A+3 B-43 C) \text {arctanh}\left (\frac {\sqrt {a} \sqrt {\sec (c+d x)} \sin (c+d x)}{\sqrt {2} \sqrt {a+a \sec (c+d x)}}\right )}{16 \sqrt {2} a^{5/2} d}-\frac {(A-B+C) \sec ^{\frac {5}{2}}(c+d x) \sin (c+d x)}{4 d (a+a \sec (c+d x))^{5/2}}+\frac {(5 A+3 B-11 C) \sec ^{\frac {3}{2}}(c+d x) \sin (c+d x)}{16 a d (a+a \sec (c+d x))^{3/2}} \]

[Out]

2*C*arcsinh(a^(1/2)*tan(d*x+c)/(a+a*sec(d*x+c))^(1/2))/a^(5/2)/d-1/4*(A-B+C)*sec(d*x+c)^(5/2)*sin(d*x+c)/d/(a+
a*sec(d*x+c))^(5/2)+1/16*(5*A+3*B-11*C)*sec(d*x+c)^(3/2)*sin(d*x+c)/a/d/(a+a*sec(d*x+c))^(3/2)+1/32*(5*A+3*B-4
3*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))/a^(5/2)/d*2^(1/2)

Rubi [A] (verified)

Time = 0.78 (sec) , antiderivative size = 201, 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 = {4169, 4104, 4108, 3893, 212, 3886, 221} \[ \int \frac {\sec ^{\frac {3}{2}}(c+d x) \left (A+B \sec (c+d x)+C \sec ^2(c+d x)\right )}{(a+a \sec (c+d x))^{5/2}} \, dx=\frac {(5 A+3 B-43 C) \text {arctanh}\left (\frac {\sqrt {a} \sin (c+d x) \sqrt {\sec (c+d x)}}{\sqrt {2} \sqrt {a \sec (c+d x)+a}}\right )}{16 \sqrt {2} a^{5/2} d}+\frac {2 C \text {arcsinh}\left (\frac {\sqrt {a} \tan (c+d x)}{\sqrt {a \sec (c+d x)+a}}\right )}{a^{5/2} d}-\frac {(A-B+C) \sin (c+d x) \sec ^{\frac {5}{2}}(c+d x)}{4 d (a \sec (c+d x)+a)^{5/2}}+\frac {(5 A+3 B-11 C) \sin (c+d x) \sec ^{\frac {3}{2}}(c+d x)}{16 a d (a \sec (c+d x)+a)^{3/2}} \]

[In]

Int[(Sec[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]

(2*C*ArcSinh[(Sqrt[a]*Tan[c + d*x])/Sqrt[a + a*Sec[c + d*x]]])/(a^(5/2)*d) + ((5*A + 3*B - 43*C)*ArcTanh[(Sqrt
[a]*Sqrt[Sec[c + d*x]]*Sin[c + d*x])/(Sqrt[2]*Sqrt[a + a*Sec[c + d*x]])])/(16*Sqrt[2]*a^(5/2)*d) - ((A - B + C
)*Sec[c + d*x]^(5/2)*Sin[c + d*x])/(4*d*(a + a*Sec[c + d*x])^(5/2)) + ((5*A + 3*B - 11*C)*Sec[c + d*x]^(3/2)*S
in[c + d*x])/(16*a*d*(a + a*Sec[c + d*x])^(3/2))

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 221

Int[1/Sqrt[(a_) + (b_.)*(x_)^2], x_Symbol] :> Simp[ArcSinh[Rt[b, 2]*(x/Sqrt[a])]/Rt[b, 2], x] /; FreeQ[{a, b},
x] && GtQ[a, 0] && PosQ[b]

Rule 3886

Int[Sqrt[csc[(e_.) + (f_.)*(x_)]*(d_.)]*Sqrt[csc[(e_.) + (f_.)*(x_)]*(b_.) + (a_)], x_Symbol] :> Dist[-2*(a/(b
*f))*Sqrt[a*(d/b)], Subst[Int[1/Sqrt[1 + x^2/a], x], x, b*(Cot[e + f*x]/Sqrt[a + b*Csc[e + f*x]])], x] /; Free
Q[{a, b, d, e, f}, x] && EqQ[a^2 - b^2, 0] && GtQ[a*(d/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 4104

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

Rule 4108

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

Rubi steps \begin{align*} \text {integral}& = -\frac {(A-B+C) \sec ^{\frac {5}{2}}(c+d x) \sin (c+d x)}{4 d (a+a \sec (c+d x))^{5/2}}+\frac {\int \frac {\sec ^{\frac {3}{2}}(c+d x) \left (\frac {1}{2} a (5 A+3 B-3 C)+4 a C \sec (c+d x)\right )}{(a+a \sec (c+d x))^{3/2}} \, dx}{4 a^2} \\ & = -\frac {(A-B+C) \sec ^{\frac {5}{2}}(c+d x) \sin (c+d x)}{4 d (a+a \sec (c+d x))^{5/2}}+\frac {(5 A+3 B-11 C) \sec ^{\frac {3}{2}}(c+d x) \sin (c+d x)}{16 a d (a+a \sec (c+d x))^{3/2}}+\frac {\int \frac {\sqrt {\sec (c+d x)} \left (\frac {1}{4} a^2 (5 A+3 B-11 C)+8 a^2 C \sec (c+d x)\right )}{\sqrt {a+a \sec (c+d x)}} \, dx}{8 a^4} \\ & = -\frac {(A-B+C) \sec ^{\frac {5}{2}}(c+d x) \sin (c+d x)}{4 d (a+a \sec (c+d x))^{5/2}}+\frac {(5 A+3 B-11 C) \sec ^{\frac {3}{2}}(c+d x) \sin (c+d x)}{16 a d (a+a \sec (c+d x))^{3/2}}+\frac {(5 A+3 B-43 C) \int \frac {\sqrt {\sec (c+d x)}}{\sqrt {a+a \sec (c+d x)}} \, dx}{32 a^2}+\frac {C \int \sqrt {\sec (c+d x)} \sqrt {a+a \sec (c+d x)} \, dx}{a^3} \\ & = -\frac {(A-B+C) \sec ^{\frac {5}{2}}(c+d x) \sin (c+d x)}{4 d (a+a \sec (c+d x))^{5/2}}+\frac {(5 A+3 B-11 C) \sec ^{\frac {3}{2}}(c+d x) \sin (c+d x)}{16 a d (a+a \sec (c+d x))^{3/2}}-\frac {(5 A+3 B-43 C) \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 {(2 C) \text {Subst}\left (\int \frac {1}{\sqrt {1+\frac {x^2}{a}}} \, dx,x,-\frac {a \tan (c+d x)}{\sqrt {a+a \sec (c+d x)}}\right )}{a^3 d} \\ & = \frac {2 C \text {arcsinh}\left (\frac {\sqrt {a} \tan (c+d x)}{\sqrt {a+a \sec (c+d x)}}\right )}{a^{5/2} d}+\frac {(5 A+3 B-43 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 )}{16 \sqrt {2} a^{5/2} d}-\frac {(A-B+C) \sec ^{\frac {5}{2}}(c+d x) \sin (c+d x)}{4 d (a+a \sec (c+d x))^{5/2}}+\frac {(5 A+3 B-11 C) \sec ^{\frac {3}{2}}(c+d x) \sin (c+d x)}{16 a d (a+a \sec (c+d x))^{3/2}} \\ \end{align*}

Mathematica [B] (verified)

Leaf count is larger than twice the leaf count of optimal. \(1009\) vs. \(2(201)=402\).

Time = 7.76 (sec) , antiderivative size = 1009, normalized size of antiderivative = 5.02 \[ \int \frac {\sec ^{\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 {B \sqrt {1+\sec (c+d x)} \left (-\frac {\sec ^{\frac {7}{2}}(c+d x) \sin (c+d x)}{4 d (1+\sec (c+d x))^{5/2}}-\frac {\sec ^{\frac {7}{2}}(c+d x) \sin (c+d x)}{16 d (1+\sec (c+d x))^{3/2}}+\frac {3 \sec ^{\frac {3}{2}}(c+d x) \sin (c+d x)}{16 d \sqrt {1+\sec (c+d x)}}+\frac {\sec ^{\frac {5}{2}}(c+d x) \sin (c+d x)}{16 d \sqrt {1+\sec (c+d x)}}+\frac {3 \arcsin \left (\sqrt {1-\sec (c+d x)}\right ) \tan (c+d x)}{16 d \sqrt {1-\sec (c+d x)} \sqrt {1+\sec (c+d x)}}+\frac {3 \arcsin \left (\sqrt {\sec (c+d x)}\right ) \tan (c+d x)}{16 d \sqrt {1-\sec (c+d x)} \sqrt {1+\sec (c+d x)}}-\frac {3 \arctan \left (\frac {\sqrt {2} \sqrt {\sec (c+d x)}}{\sqrt {1-\sec (c+d x)}}\right ) \tan (c+d x)}{16 \sqrt {2} d \sqrt {1-\sec (c+d x)} \sqrt {1+\sec (c+d x)}}\right )}{a^2 \sqrt {a (1+\sec (c+d x))}}+\frac {C \sqrt {1+\sec (c+d x)} \left (-\frac {\sec ^{\frac {9}{2}}(c+d x) \sin (c+d x)}{4 d (1+\sec (c+d x))^{5/2}}+\frac {3 \sec ^{\frac {9}{2}}(c+d x) \sin (c+d x)}{16 d (1+\sec (c+d x))^{3/2}}-\frac {11 \sec ^{\frac {3}{2}}(c+d x) \sin (c+d x)}{16 d \sqrt {1+\sec (c+d x)}}+\frac {7 \sec ^{\frac {5}{2}}(c+d x) \sin (c+d x)}{16 d \sqrt {1+\sec (c+d x)}}-\frac {3 \sec ^{\frac {7}{2}}(c+d x) \sin (c+d x)}{16 d \sqrt {1+\sec (c+d x)}}-\frac {11 \arcsin \left (\sqrt {1-\sec (c+d x)}\right ) \tan (c+d x)}{16 d \sqrt {1-\sec (c+d x)} \sqrt {1+\sec (c+d x)}}-\frac {43 \arcsin \left (\sqrt {\sec (c+d x)}\right ) \tan (c+d x)}{16 d \sqrt {1-\sec (c+d x)} \sqrt {1+\sec (c+d x)}}+\frac {43 \arctan \left (\frac {\sqrt {2} \sqrt {\sec (c+d x)}}{\sqrt {1-\sec (c+d x)}}\right ) \tan (c+d x)}{16 \sqrt {2} d \sqrt {1-\sec (c+d x)} \sqrt {1+\sec (c+d x)}}\right )}{a^2 \sqrt {a (1+\sec (c+d x))}}-\frac {A \sqrt {1+\sec (c+d x)} \left (\frac {8 \sec ^{\frac {5}{2}}(c+d x) \sin (c+d x)}{d (1+\sec (c+d x))^{5/2}}+5 \left (\frac {2 \sec ^{\frac {5}{2}}(c+d x) \sin (c+d x)}{d (1+\sec (c+d x))^{3/2}}-\frac {\left (2 \arcsin \left (\sqrt {\sec (c+d x)}\right )-\sqrt {2} \arctan \left (\frac {\sqrt {2} \sqrt {\sec (c+d x)}}{\sqrt {1-\sec (c+d x)}}\right )\right ) \tan (c+d x)}{d \sqrt {1-\sec (c+d x)} \sqrt {1+\sec (c+d x)}}-\frac {2 \left (\arcsin \left (\sqrt {1-\sec (c+d x)}\right )+\sqrt {1-\sec (c+d x)} \sqrt {\sec (c+d x)}\right ) \tan (c+d x)}{d \sqrt {1-\sec (c+d x)} \sqrt {1+\sec (c+d x)}}\right )\right )}{32 a^2 \sqrt {a (1+\sec (c+d x))}} \]

[In]

Integrate[(Sec[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]

(B*Sqrt[1 + Sec[c + d*x]]*(-1/4*(Sec[c + d*x]^(7/2)*Sin[c + d*x])/(d*(1 + Sec[c + d*x])^(5/2)) - (Sec[c + d*x]
^(7/2)*Sin[c + d*x])/(16*d*(1 + Sec[c + d*x])^(3/2)) + (3*Sec[c + d*x]^(3/2)*Sin[c + d*x])/(16*d*Sqrt[1 + Sec[
c + d*x]]) + (Sec[c + d*x]^(5/2)*Sin[c + d*x])/(16*d*Sqrt[1 + Sec[c + d*x]]) + (3*ArcSin[Sqrt[1 - Sec[c + d*x]
]]*Tan[c + d*x])/(16*d*Sqrt[1 - Sec[c + d*x]]*Sqrt[1 + Sec[c + d*x]]) + (3*ArcSin[Sqrt[Sec[c + d*x]]]*Tan[c +
d*x])/(16*d*Sqrt[1 - Sec[c + d*x]]*Sqrt[1 + Sec[c + d*x]]) - (3*ArcTan[(Sqrt[2]*Sqrt[Sec[c + d*x]])/Sqrt[1 - S
ec[c + d*x]]]*Tan[c + d*x])/(16*Sqrt[2]*d*Sqrt[1 - Sec[c + d*x]]*Sqrt[1 + Sec[c + d*x]])))/(a^2*Sqrt[a*(1 + Se
c[c + d*x])]) + (C*Sqrt[1 + Sec[c + d*x]]*(-1/4*(Sec[c + d*x]^(9/2)*Sin[c + d*x])/(d*(1 + Sec[c + d*x])^(5/2))
+ (3*Sec[c + d*x]^(9/2)*Sin[c + d*x])/(16*d*(1 + Sec[c + d*x])^(3/2)) - (11*Sec[c + d*x]^(3/2)*Sin[c + d*x])/
(16*d*Sqrt[1 + Sec[c + d*x]]) + (7*Sec[c + d*x]^(5/2)*Sin[c + d*x])/(16*d*Sqrt[1 + Sec[c + d*x]]) - (3*Sec[c +
d*x]^(7/2)*Sin[c + d*x])/(16*d*Sqrt[1 + Sec[c + d*x]]) - (11*ArcSin[Sqrt[1 - Sec[c + d*x]]]*Tan[c + d*x])/(16
*d*Sqrt[1 - Sec[c + d*x]]*Sqrt[1 + Sec[c + d*x]]) - (43*ArcSin[Sqrt[Sec[c + d*x]]]*Tan[c + d*x])/(16*d*Sqrt[1
- Sec[c + d*x]]*Sqrt[1 + Sec[c + d*x]]) + (43*ArcTan[(Sqrt[2]*Sqrt[Sec[c + d*x]])/Sqrt[1 - Sec[c + d*x]]]*Tan[
c + d*x])/(16*Sqrt[2]*d*Sqrt[1 - Sec[c + d*x]]*Sqrt[1 + Sec[c + d*x]])))/(a^2*Sqrt[a*(1 + Sec[c + d*x])]) - (A
*Sqrt[1 + Sec[c + d*x]]*((8*Sec[c + d*x]^(5/2)*Sin[c + d*x])/(d*(1 + Sec[c + d*x])^(5/2)) + 5*((2*Sec[c + d*x]
^(5/2)*Sin[c + d*x])/(d*(1 + Sec[c + d*x])^(3/2)) - ((2*ArcSin[Sqrt[Sec[c + d*x]]] - Sqrt[2]*ArcTan[(Sqrt[2]*S
qrt[Sec[c + d*x]])/Sqrt[1 - Sec[c + d*x]]])*Tan[c + d*x])/(d*Sqrt[1 - Sec[c + d*x]]*Sqrt[1 + Sec[c + d*x]]) -
(2*(ArcSin[Sqrt[1 - Sec[c + d*x]]] + Sqrt[1 - Sec[c + d*x]]*Sqrt[Sec[c + d*x]])*Tan[c + d*x])/(d*Sqrt[1 - Sec[
c + d*x]]*Sqrt[1 + Sec[c + d*x]]))))/(32*a^2*Sqrt[a*(1 + Sec[c + d*x])])

Maple [B] (warning: unable to verify)

Leaf count of result is larger than twice the leaf count of optimal. \(692\) vs. \(2(170)=340\).

Time = 1.82 (sec) , antiderivative size = 693, normalized size of antiderivative = 3.45

method	result	size
default	\(-\frac {\left (-\frac {\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}+1}{\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}\right )^{\frac {3}{2}} \left (\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1\right )^{2} \sqrt {-\frac {2 a}{\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}}\, \left (2 A \sqrt {-\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}\, \left (1-\cos \left (d x +c \right )\right )^{3} \csc \left (d x +c \right )^{3}-2 B \sqrt {-\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}\, \left (1-\cos \left (d x +c \right )\right )^{3} \csc \left (d x +c \right )^{3}+2 C \sqrt {-\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}\, \left (1-\cos \left (d x +c \right )\right )^{3} \csc \left (d x +c \right )^{3}-3 A \sqrt {-\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}\, \left (-\cot \left (d x +c \right )+\csc \left (d x +c \right )\right )-5 B \sqrt {-\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}\, \left (-\cot \left (d x +c \right )+\csc \left (d x +c \right )\right )+16 C \arctan \left (\frac {\left (-\cot \left (d x +c \right )+\csc \left (d x +c \right )-1\right ) \sqrt {2}}{2 \sqrt {-\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}}\right ) \sqrt {2}+16 C \arctan \left (\frac {\left (\csc \left (d x +c \right )-\cot \left (d x +c \right )+1\right ) \sqrt {2}}{2 \sqrt {-\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}}\right ) \sqrt {2}+13 C \sqrt {-\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}\, \left (-\cot \left (d x +c \right )+\csc \left (d x +c \right )\right )+5 A \arctan \left (\frac {-\cot \left (d x +c \right )+\csc \left (d x +c \right )}{\sqrt {-\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}}\right )+3 B \arctan \left (\frac {-\cot \left (d x +c \right )+\csc \left (d x +c \right )}{\sqrt {-\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}}\right )-43 C \arctan \left (\frac {-\cot \left (d x +c \right )+\csc \left (d x +c \right )}{\sqrt {-\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}}\right )\right )}{32 a^{3} d \left (\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}+1\right ) \sqrt {-\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}}\)	\(693\)
parts	\(\text {Expression too large to display}\)	\(1020\)

[In]

int(sec(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]

-1/32/a^3/d*(-((1-cos(d*x+c))^2*csc(d*x+c)^2+1)/((1-cos(d*x+c))^2*csc(d*x+c)^2-1))^(3/2)*((1-cos(d*x+c))^2*csc
(d*x+c)^2-1)^2*(-2*a/((1-cos(d*x+c))^2*csc(d*x+c)^2-1))^(1/2)*(2*A*(-(1-cos(d*x+c))^2*csc(d*x+c)^2-1)^(1/2)*(1
-cos(d*x+c))^3*csc(d*x+c)^3-2*B*(-(1-cos(d*x+c))^2*csc(d*x+c)^2-1)^(1/2)*(1-cos(d*x+c))^3*csc(d*x+c)^3+2*C*(-(
1-cos(d*x+c))^2*csc(d*x+c)^2-1)^(1/2)*(1-cos(d*x+c))^3*csc(d*x+c)^3-3*A*(-(1-cos(d*x+c))^2*csc(d*x+c)^2-1)^(1/
2)*(-cot(d*x+c)+csc(d*x+c))-5*B*(-(1-cos(d*x+c))^2*csc(d*x+c)^2-1)^(1/2)*(-cot(d*x+c)+csc(d*x+c))+16*C*arctan(
1/2*(-cot(d*x+c)+csc(d*x+c)-1)*2^(1/2)/(-(1-cos(d*x+c))^2*csc(d*x+c)^2-1)^(1/2))*2^(1/2)+16*C*arctan(1/2*(csc(
d*x+c)-cot(d*x+c)+1)*2^(1/2)/(-(1-cos(d*x+c))^2*csc(d*x+c)^2-1)^(1/2))*2^(1/2)+13*C*(-(1-cos(d*x+c))^2*csc(d*x
+c)^2-1)^(1/2)*(-cot(d*x+c)+csc(d*x+c))+5*A*arctan(1/(-(1-cos(d*x+c))^2*csc(d*x+c)^2-1)^(1/2)*(-cot(d*x+c)+csc
(d*x+c)))+3*B*arctan(1/(-(1-cos(d*x+c))^2*csc(d*x+c)^2-1)^(1/2)*(-cot(d*x+c)+csc(d*x+c)))-43*C*arctan(1/(-(1-c
os(d*x+c))^2*csc(d*x+c)^2-1)^(1/2)*(-cot(d*x+c)+csc(d*x+c))))/((1-cos(d*x+c))^2*csc(d*x+c)^2+1)/(-(1-cos(d*x+c
))^2*csc(d*x+c)^2-1)^(1/2)

Fricas [B] (verification not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 355 vs. \(2 (170) = 340\).

Time = 0.32 (sec) , antiderivative size = 781, normalized size of antiderivative = 3.89 \[ \int \frac {\sec ^{\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 {\sqrt {2} {\left ({\left (5 \, A + 3 \, B - 43 \, C\right )} \cos \left (d x + c\right )^{3} + 3 \, {\left (5 \, A + 3 \, B - 43 \, C\right )} \cos \left (d x + c\right )^{2} + 3 \, {\left (5 \, A + 3 \, B - 43 \, C\right )} \cos \left (d x + c\right ) + 5 \, A + 3 \, B - 43 \, 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 ) - 32 \, {\left (C \cos \left (d x + c\right )^{3} + 3 \, C \cos \left (d x + c\right )^{2} + 3 \, C \cos \left (d x + c\right ) + C\right )} \sqrt {a} \log \left (\frac {a \cos \left (d x + c\right )^{3} - 7 \, a \cos \left (d x + c\right )^{2} - \frac {4 \, {\left (\cos \left (d x + c\right )^{2} - 2 \, \cos \left (d x + c\right )\right )} \sqrt {a} \sqrt {\frac {a \cos \left (d x + c\right ) + a}{\cos \left (d x + c\right )}} \sin \left (d x + c\right )}{\sqrt {\cos \left (d x + c\right )}} + 8 \, a}{\cos \left (d x + c\right )^{3} + \cos \left (d x + c\right )^{2}}\right ) - \frac {4 \, {\left ({\left (5 \, A + 3 \, B - 11 \, C\right )} \cos \left (d x + c\right )^{2} + {\left (A + 7 \, B - 15 \, C\right )} \cos \left (d x + c\right )\right )} \sqrt {\frac {a \cos \left (d x + c\right ) + a}{\cos \left (d x + c\right )}} \sin \left (d x + c\right )}{\sqrt {\cos \left (d x + c\right )}}}{64 \, {\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 {\sqrt {2} {\left ({\left (5 \, A + 3 \, B - 43 \, C\right )} \cos \left (d x + c\right )^{3} + 3 \, {\left (5 \, A + 3 \, B - 43 \, C\right )} \cos \left (d x + c\right )^{2} + 3 \, {\left (5 \, A + 3 \, B - 43 \, C\right )} \cos \left (d x + c\right ) + 5 \, A + 3 \, B - 43 \, 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 ) - 32 \, {\left (C \cos \left (d x + c\right )^{3} + 3 \, C \cos \left (d x + c\right )^{2} + 3 \, C \cos \left (d x + c\right ) + C\right )} \sqrt {-a} \arctan \left (\frac {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 )}{a \cos \left (d x + c\right )^{2} - a \cos \left (d x + c\right ) - 2 \, a}\right ) - \frac {2 \, {\left ({\left (5 \, A + 3 \, B - 11 \, C\right )} \cos \left (d x + c\right )^{2} + {\left (A + 7 \, B - 15 \, C\right )} \cos \left (d x + c\right )\right )} \sqrt {\frac {a \cos \left (d x + c\right ) + a}{\cos \left (d x + c\right )}} \sin \left (d x + c\right )}{\sqrt {\cos \left (d x + c\right )}}}{32 \, {\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(sec(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]

[-1/64*(sqrt(2)*((5*A + 3*B - 43*C)*cos(d*x + c)^3 + 3*(5*A + 3*B - 43*C)*cos(d*x + c)^2 + 3*(5*A + 3*B - 43*C
)*cos(d*x + c) + 5*A + 3*B - 43*C)*sqrt(a)*log(-(a*cos(d*x + c)^2 + 2*sqrt(2)*sqrt(a)*sqrt((a*cos(d*x + c) + a
)/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c) - 2*a*cos(d*x + c) - 3*a)/(cos(d*x + c)^2 + 2*cos(d*x + c) + 1
)) - 32*(C*cos(d*x + c)^3 + 3*C*cos(d*x + c)^2 + 3*C*cos(d*x + c) + C)*sqrt(a)*log((a*cos(d*x + c)^3 - 7*a*cos
(d*x + c)^2 - 4*(cos(d*x + c)^2 - 2*cos(d*x + c))*sqrt(a)*sqrt((a*cos(d*x + c) + a)/cos(d*x + c))*sin(d*x + c)
/sqrt(cos(d*x + c)) + 8*a)/(cos(d*x + c)^3 + cos(d*x + c)^2)) - 4*((5*A + 3*B - 11*C)*cos(d*x + c)^2 + (A + 7*
B - 15*C)*cos(d*x + c))*sqrt((a*cos(d*x + c) + a)/cos(d*x + c))*sin(d*x + c)/sqrt(cos(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), -1/32*(sqrt(2)*((5*A + 3*B - 43*C)*cos(d*x
+ c)^3 + 3*(5*A + 3*B - 43*C)*cos(d*x + c)^2 + 3*(5*A + 3*B - 43*C)*cos(d*x + c) + 5*A + 3*B - 43*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))) - 32*(C*c
os(d*x + c)^3 + 3*C*cos(d*x + c)^2 + 3*C*cos(d*x + c) + C)*sqrt(-a)*arctan(2*sqrt(-a)*sqrt((a*cos(d*x + c) + a
)/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c)/(a*cos(d*x + c)^2 - a*cos(d*x + c) - 2*a)) - 2*((5*A + 3*B - 1
1*C)*cos(d*x + c)^2 + (A + 7*B - 15*C)*cos(d*x + c))*sqrt((a*cos(d*x + c) + a)/cos(d*x + c))*sin(d*x + c)/sqrt
(cos(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. \[ \int \frac {\sec ^{\frac {3}{2}}(c+d x) \left (A+B \sec (c+d x)+C \sec ^2(c+d x)\right )}{(a+a \sec (c+d x))^{5/2}} \, dx=\text {Timed out} \]

[In]

integrate(sec(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. 92192 vs. \(2 (170) = 340\).

Time = 14.96 (sec) , antiderivative size = 92192, normalized size of antiderivative = 458.67 \[ \int \frac {\sec ^{\frac {3}{2}}(c+d x) \left (A+B \sec (c+d x)+C \sec ^2(c+d x)\right )}{(a+a \sec (c+d x))^{5/2}} \, dx=\text {Too large to display} \]

[In]

integrate(sec(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]

1/32*((4*(3*sin(3/2*d*x + 3/2*c) + 5*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*sin(5/3*
arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 5*sin(1/3*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))) - 40*(2*sin(3*d*x + 3*c) + 3*sin(4/3*arc
tan2(sin(3/2*d*x + 3/2*c), cos(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))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 24*(2*sin(3*d*x + 3*c) + 3*sin(4/3*arctan
2(sin(3/2*d*x + 3/2*c), cos(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))
))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 24*(3*sin(3/2*d*x + 3/2*c) - 5*sin(1/3*arcta
n2(sin(3/2*d*x + 3/2*c), cos(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)))
+ 16*(3*sin(3/2*d*x + 3/2*c) - 5*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(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))) + 5*(16*cos(3*d*x + 3*c)^2 + 2*(4*cos(3*d*x + 3*c) + 6*cos(4/3*a
rctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/
2*c))) + 1)*cos(8/3*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)))^2 + 12*(4*cos(3*d*x + 3*c) + 4*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3
/2*c))) + 1)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 36*cos(4/3*arctan2(sin(3/2*d*x + 3
/2*c), cos(3/2*d*x + 3/2*c)))^2 + 8*(4*cos(3*d*x + 3*c) + 1)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
+ 3/2*c))) + 16*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*sin(3*d*x + 3*c)^2 + 4*(2
*sin(3*d*x + 3*c) + 3*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(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))))*sin(8/3*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)))^2 + 48*(sin(3*d*x + 3*c) + sin(2/3*arctan2(sin(3/2*d*x +
3/2*c), cos(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))) + 36*sin(4/3*arct
an2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 32*sin(3*d*x + 3*c)*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c),
cos(3/2*d*x + 3/2*c))) + 16*sin(2/3*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) + 1)*log(cos(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + sin(1/3*arctan2(sin(3/2*d*x + 3/2
*c), cos(3/2*d*x + 3/2*c)))^2 + 2*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 1) - 5*(16*co
s(3*d*x + 3*c)^2 + 2*(4*cos(3*d*x + 3*c) + 6*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*
cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 1)*cos(8/3*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)))^2 + 12*(4*cos(3*d*x + 3*c) + 4
*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 1)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3
/2*d*x + 3/2*c))) + 36*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 8*(4*cos(3*d*x + 3*c)
+ 1)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 16*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), c
os(3/2*d*x + 3/2*c)))^2 + 16*sin(3*d*x + 3*c)^2 + 4*(2*sin(3*d*x + 3*c) + 3*sin(4/3*arctan2(sin(3/2*d*x + 3/2*
c), cos(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))))*sin(8/3*arctan2(s
in(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)))^2 +
48*(sin(3*d*x + 3*c) + sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(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))) + 36*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 32*
sin(3*d*x + 3*c)*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 16*sin(2/3*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) + 1)*log(cos(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/
2*d*x + 3/2*c)))^2 + sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 - 2*sin(1/3*arctan2(sin(3/
2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 1) - 48*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 80*cos(1/3*arctan2(si
n(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))*sin(3*d*x + 3*c) + 48*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) - 4*(3*
cos(3/2*d*x + 3/2*c) + 5*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 3*cos(5/3*arctan2(sin(
3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 5*cos(1/3*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))) + 20*(4*cos(3*d*x + 3*c) + 6*cos(4/3*arctan2(sin(3/2
*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 1)*si
n(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 12*(4*cos(3*d*x + 3*c) + 6*cos(4/3*arctan2(sin(3/
2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 1)*s
in(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 24*(3*cos(3/2*d*x + 3/2*c) - 5*cos(1/3*arctan2(s
in(3/2*d*x + 3/2*c), cos(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))) - 16
*(3*cos(3/2*d*x + 3/2*c) - 5*cos(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(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))) - 20*(4*cos(3*d*x + 3*c) + 1)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c),
cos(3/2*d*x + 3/2*c))) + 12*sin(3/2*d*x + 3/2*c))*A/((16*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + sqrt(2)*a^2*cos(8/3*
arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 36*sqrt(2)*a^2*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c),
cos(3/2*d*x + 3/2*c)))^2 + 16*sqrt(2)*a^2*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*
sqrt(2)*a^2*sin(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(8/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 +
36*sqrt(2)*a^2*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 32*sqrt(2)*a^2*sin(3*d*x + 3*c
)*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 16*sqrt(2)*a^2*sin(2/3*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) + sqrt(2)*a^2 + 2*(4*sqrt(2)*a^2*cos(3*d*x +
3*c) + 6*sqrt(2)*a^2*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*sqrt(2)*a^2*cos(2/3*arc
tan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + sqrt(2)*a^2)*cos(8/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2
*d*x + 3/2*c))) + 12*(4*sqrt(2)*a^2*cos(3*d*x + 3*c) + 4*sqrt(2)*a^2*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos
(3/2*d*x + 3/2*c))) + sqrt(2)*a^2)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 8*(4*sqrt(2)
*a^2*cos(3*d*x + 3*c) + sqrt(2)*a^2)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(2*sqrt(
2)*a^2*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 2*sqrt(
2)*a^2*sin(2/3*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))) + 48*(sqrt(2)*a^2*sin(3*d*x + 3*c) + sqrt(2)*a^2*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos
(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))))*sqrt(a)) + (512*((2*sin(2*d
*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) + cos(5/2*d*x + 5/2*c)*sin(4*d*x + 4*c) + 2*cos(5/2*d*x + 5/2*c
)*sin(3*d*x + 3*c) + (2*cos(2*d*x + 2*c) + cos(d*x + c))*sin(5/2*d*x + 5/2*c) + cos(4*d*x + 4*c)*sin(5/2*d*x +
5/2*c) + 2*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*cos(5*d*x + 5*c)^2 + 2560*(5*(2*sin(2*d*x + 2*c) + sin(d*x
+ c))*cos(5/2*d*x + 5/2*c) + cos(5/2*d*x + 5/2*c)*sin(5*d*x + 5*c) + 5*cos(5/2*d*x + 5/2*c)*sin(4*d*x + 4*c) +
10*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c) - (10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*sin(5/2*d*x + 5/2*c) -
cos(5*d*x + 5*c)*sin(5/2*d*x + 5/2*c) - 5*cos(4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) - 10*cos(3*d*x + 3*c)*sin(5/2*
d*x + 5/2*c))*cos(8/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 10240*(5*(2*sin(2*d*x + 2*c) +
sin(d*x + c))*cos(5/2*d*x + 5/2*c) + cos(5/2*d*x + 5/2*c)*sin(5*d*x + 5*c) + 5*cos(5/2*d*x + 5/2*c)*sin(4*d*x
+ 4*c) + 10*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c) - (10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*sin(5/2*d*x + 5
/2*c) - cos(5*d*x + 5*c)*sin(5/2*d*x + 5/2*c) - 5*cos(4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) - 10*cos(3*d*x + 3*c)*
sin(5/2*d*x + 5/2*c))*cos(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 10240*(5*(2*sin(2*d*x +
2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) + cos(5/2*d*x + 5/2*c)*sin(5*d*x + 5*c) + 5*cos(5/2*d*x + 5/2*c)*si
n(4*d*x + 4*c) + 10*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c) - (10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*sin(5/2
*d*x + 5/2*c) - cos(5*d*x + 5*c)*sin(5/2*d*x + 5/2*c) - 5*cos(4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) - 10*cos(3*d*x
+ 3*c)*sin(5/2*d*x + 5/2*c))*cos(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 2560*(5*(2*sin(
2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) + cos(5/2*d*x + 5/2*c)*sin(5*d*x + 5*c) + 5*cos(5/2*d*x + 5/
2*c)*sin(4*d*x + 4*c) + 10*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c) - (10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*
sin(5/2*d*x + 5/2*c) - cos(5*d*x + 5*c)*sin(5/2*d*x + 5/2*c) - 5*cos(4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) - 10*co
s(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*cos(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 - 512*((2*
sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) + cos(5/2*d*x + 5/2*c)*sin(4*d*x + 4*c) + 2*cos(5/2*d*x
+ 5/2*c)*sin(3*d*x + 3*c) + (2*cos(2*d*x + 2*c) + cos(d*x + c))*sin(5/2*d*x + 5/2*c) + cos(4*d*x + 4*c)*sin(5/
2*d*x + 5/2*c) + 2*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*sin(5*d*x + 5*c)^2 + 2560*cos(4*d*x + 4*c)^2*sin(5/2
*d*x + 5/2*c) + 1024*(20*cos(2*d*x + 2*c) + 10*cos(d*x + c) + 1)*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c) + 10240
*cos(3*d*x + 3*c)^2*sin(5/2*d*x + 5/2*c) + 2560*sin(4*d*x + 4*c)^2*sin(5/2*d*x + 5/2*c) + 10240*sin(3*d*x + 3*
c)^2*sin(5/2*d*x + 5/2*c) + 2560*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) + cos(5/2*d*x + 5
/2*c)*sin(5*d*x + 5*c) + 5*cos(5/2*d*x + 5/2*c)*sin(4*d*x + 4*c) + 10*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c) -
(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*sin(5/2*d*x + 5/2*c) - cos(5*d*x + 5*c)*sin(5/2*d*x + 5/2*c) - 5*co
s(4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) - 10*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*sin(8/5*arctan2(sin(5/2*d*x +
5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 10240*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) + cos(5/2
*d*x + 5/2*c)*sin(5*d*x + 5*c) + 5*cos(5/2*d*x + 5/2*c)*sin(4*d*x + 4*c) + 10*cos(5/2*d*x + 5/2*c)*sin(3*d*x +
3*c) - (10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*sin(5/2*d*x + 5/2*c) - cos(5*d*x + 5*c)*sin(5/2*d*x + 5/2*c
) - 5*cos(4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) - 10*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*sin(6/5*arctan2(sin(5/
2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 10240*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) +
cos(5/2*d*x + 5/2*c)*sin(5*d*x + 5*c) + 5*cos(5/2*d*x + 5/2*c)*sin(4*d*x + 4*c) + 10*cos(5/2*d*x + 5/2*c)*sin
(3*d*x + 3*c) - (10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*sin(5/2*d*x + 5/2*c) - cos(5*d*x + 5*c)*sin(5/2*d*x
+ 5/2*c) - 5*cos(4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) - 10*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*sin(4/5*arctan
2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 2560*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5
/2*c) + cos(5/2*d*x + 5/2*c)*sin(5*d*x + 5*c) + 5*cos(5/2*d*x + 5/2*c)*sin(4*d*x + 4*c) + 10*cos(5/2*d*x + 5/2
*c)*sin(3*d*x + 3*c) - (10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*sin(5/2*d*x + 5/2*c) - cos(5*d*x + 5*c)*sin(
5/2*d*x + 5/2*c) - 5*cos(4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) - 10*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*sin(2/5
*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 512*(5*cos(4*d*x + 4*c)^2*sin(5/2*d*x + 5/2*c) + 4*(
10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c) + 20*cos(3*d*x + 3*c)^2*sin(5/
2*d*x + 5/2*c) + 5*sin(4*d*x + 4*c)^2*sin(5/2*d*x + 5/2*c) + 20*sin(3*d*x + 3*c)^2*sin(5/2*d*x + 5/2*c) + 2*((
10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*sin(5/2*d*x + 5/2*c) + 10*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*cos
(4*d*x + 4*c) + 2*(2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) + 2*(5*(2*sin(2*d*x + 2*c) + sin(d*
x + c))*sin(5/2*d*x + 5/2*c) + 10*sin(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c) + cos(5/2*d*x + 5/2*c))*sin(4*d*x + 4*
c) + 4*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5/2*d*x + 5/2*c) + cos(5/2*d*x + 5/2*c))*sin(3*d*x + 3*c) +
(4*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 20*cos(2*d*x + 2*c)^2 + 5*cos(d*x + c)^2 + 20*sin(2*d*x + 2*c)^2 +
20*sin(2*d*x + 2*c)*sin(d*x + c) + 5*sin(d*x + c)^2 + 2*cos(d*x + c))*sin(5/2*d*x + 5/2*c))*cos(5*d*x + 5*c) +
512*((20*cos(2*d*x + 2*c) + 10*cos(d*x + c) + 1)*sin(5/2*d*x + 5/2*c) + 20*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2
*c))*cos(4*d*x + 4*c) + 512*(2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) - 12*(10*(sin(4*d*x + 4*c
) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c)^2 + sin(5*d*x + 5*c)^3 + (2*(5*co
s(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x
+ 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x
+ 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*co
s(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin
(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c
))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25
*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(5*d*x + 5*c) + 5*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*
cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*co
s(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*co
s(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos
(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x
+ c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin
(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d
*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c)
+ 1)*sin(8/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x
+ 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x +
3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x +
2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*
c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*
c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d
*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) +
100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*
cos(d*x + c) + 1)*sin(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*(2*(5*cos(4*d*x + 4*c) + 1
0*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*
cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10
*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*co
s(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*si
n(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x +
2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*
d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x
+ c)^2 + 10*cos(d*x + c) + 1)*sin(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 5*(2*(5*cos(4*d*x
+ 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^
2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)
^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x +
c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x +
3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*s
in(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x +
c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) +
25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))))*cos(9/5
*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) - 4*(128*cos(5*d*x + 5*c)^2*sin(5/2*d*x + 5/2*c) - 3200*
cos(4*d*x + 4*c)^2*sin(5/2*d*x + 5/2*c) - 12800*(2*cos(2*d*x + 2*c) + cos(d*x + c))*cos(3*d*x + 3*c)*sin(5/2*d
*x + 5/2*c) - 12800*cos(3*d*x + 3*c)^2*sin(5/2*d*x + 5/2*c) - 128*sin(5*d*x + 5*c)^2*sin(5/2*d*x + 5/2*c) - 32
00*sin(4*d*x + 4*c)^2*sin(5/2*d*x + 5/2*c) - 12800*sin(3*d*x + 3*c)^2*sin(5/2*d*x + 5/2*c) - 256*(5*(2*sin(2*d
*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) + 5*cos(5/2*d*x + 5/2*c)*sin(4*d*x + 4*c) + 10*cos(5/2*d*x + 5/
2*c)*sin(3*d*x + 3*c) - sin(5/2*d*x + 5/2*c))*cos(5*d*x + 5*c) - 6400*((2*cos(2*d*x + 2*c) + cos(d*x + c))*sin
(5/2*d*x + 5/2*c) + 2*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*cos(4*d*x + 4*c) - 1280*(2*sin(2*d*x + 2*c) + sin
(d*x + c))*cos(5/2*d*x + 5/2*c) - 2560*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) + cos(5/2*d
*x + 5/2*c)*sin(5*d*x + 5*c) + 5*cos(5/2*d*x + 5/2*c)*sin(4*d*x + 4*c) + 10*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3
*c) - (10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*sin(5/2*d*x + 5/2*c) - cos(5*d*x + 5*c)*sin(5/2*d*x + 5/2*c)
- 5*cos(4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) - 10*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*cos(6/5*arctan2(sin(5/2*
d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) - 2560*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) + cos(
5/2*d*x + 5/2*c)*sin(5*d*x + 5*c) + 5*cos(5/2*d*x + 5/2*c)*sin(4*d*x + 4*c) + 10*cos(5/2*d*x + 5/2*c)*sin(3*d*
x + 3*c) - (10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*sin(5/2*d*x + 5/2*c) - cos(5*d*x + 5*c)*sin(5/2*d*x + 5/
2*c) - 5*cos(4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) - 10*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*cos(4/5*arctan2(sin
(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) - 1280*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) +
cos(5/2*d*x + 5/2*c)*sin(5*d*x + 5*c) + 5*cos(5/2*d*x + 5/2*c)*sin(4*d*x + 4*c) + 10*cos(5/2*d*x + 5/2*c)*sin
(3*d*x + 3*c) - (10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*sin(5/2*d*x + 5/2*c) - cos(5*d*x + 5*c)*sin(5/2*d*x
+ 5/2*c) - 5*cos(4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) - 10*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*cos(2/5*arctan
2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) - 256*(cos(5*d*x + 5*c)*cos(5/2*d*x + 5/2*c) + 5*(2*sin(2*d*x +
2*c) + sin(d*x + c))*sin(5/2*d*x + 5/2*c) + 5*sin(4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) + 10*sin(3*d*x + 3*c)*sin
(5/2*d*x + 5/2*c) + cos(5/2*d*x + 5/2*c))*sin(5*d*x + 5*c) - 1280*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5
/2*d*x + 5/2*c) + 10*sin(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c) + cos(5/2*d*x + 5/2*c))*sin(4*d*x + 4*c) - 2560*(5*
(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5/2*d*x + 5/2*c) + cos(5/2*d*x + 5/2*c))*sin(3*d*x + 3*c) - 128*(100*c
os(2*d*x + 2*c)^2 + 100*cos(2*d*x + 2*c)*cos(d*x + c) + 25*cos(d*x + c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2
*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 - 1)*sin(5/2*d*x + 5/2*c) - 70*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*
d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*
x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d
*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x
+ 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x
+ 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + s
in(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*
c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 +
10*cos(d*x + c) + 1)*sin(7/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 70*(2*(5*cos(4*d*x + 4*c)
+ 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*
(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20
*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1
)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) +
2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*
x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*si
n(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(
d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(3/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 15*(2*(5*cos(
4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x +
5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x +
4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(
d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d
*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c)
+ 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(
d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x +
c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(1/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))))*co
s(8/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) - 56*(10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2
*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c)^2 + sin(5*d*x + 5*c)^3 + (2*(5*cos(4*d*x + 4*c) + 10*cos(3*
d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*
x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d
*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x
+ 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x +
c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*
sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d
*x + c) + 1)*sin(5*d*x + 5*c) + 10*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(
d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*
x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x
+ 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(
d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) +
sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*
d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d
*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(6/5*arctan2(sin
(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2
*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c
) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) +
1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)
^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*
d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c)
+ 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 +
100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(4/5
*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 5*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*co
s(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(
2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(
d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2
*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x +
c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4
*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x
+ 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) +
1)*sin(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))))*cos(7/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/
2*d*x + 5/2*c))) - 8*(128*cos(5*d*x + 5*c)^2*sin(5/2*d*x + 5/2*c) - 3200*cos(4*d*x + 4*c)^2*sin(5/2*d*x + 5/2*
c) - 12800*(2*cos(2*d*x + 2*c) + cos(d*x + c))*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c) - 12800*cos(3*d*x + 3*c)^
2*sin(5/2*d*x + 5/2*c) - 128*sin(5*d*x + 5*c)^2*sin(5/2*d*x + 5/2*c) - 3200*sin(4*d*x + 4*c)^2*sin(5/2*d*x + 5
/2*c) - 12800*sin(3*d*x + 3*c)^2*sin(5/2*d*x + 5/2*c) - 256*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x
+ 5/2*c) + 5*cos(5/2*d*x + 5/2*c)*sin(4*d*x + 4*c) + 10*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c) - sin(5/2*d*x +
5/2*c))*cos(5*d*x + 5*c) - 6400*((2*cos(2*d*x + 2*c) + cos(d*x + c))*sin(5/2*d*x + 5/2*c) + 2*cos(3*d*x + 3*c
)*sin(5/2*d*x + 5/2*c))*cos(4*d*x + 4*c) - 1280*(2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) - 256
0*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) + cos(5/2*d*x + 5/2*c)*sin(5*d*x + 5*c) + 5*cos(
5/2*d*x + 5/2*c)*sin(4*d*x + 4*c) + 10*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c) - (10*cos(2*d*x + 2*c) + 5*cos(d*
x + c) + 1)*sin(5/2*d*x + 5/2*c) - cos(5*d*x + 5*c)*sin(5/2*d*x + 5/2*c) - 5*cos(4*d*x + 4*c)*sin(5/2*d*x + 5/
2*c) - 10*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*cos(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))
- 1280*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) + cos(5/2*d*x + 5/2*c)*sin(5*d*x + 5*c) + 5
*cos(5/2*d*x + 5/2*c)*sin(4*d*x + 4*c) + 10*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c) - (10*cos(2*d*x + 2*c) + 5*c
os(d*x + c) + 1)*sin(5/2*d*x + 5/2*c) - cos(5*d*x + 5*c)*sin(5/2*d*x + 5/2*c) - 5*cos(4*d*x + 4*c)*sin(5/2*d*x
+ 5/2*c) - 10*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*cos(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*
c))) - 256*(cos(5*d*x + 5*c)*cos(5/2*d*x + 5/2*c) + 5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5/2*d*x + 5/2*c)
+ 5*sin(4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) + 10*sin(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c) + cos(5/2*d*x + 5/2*c))*
sin(5*d*x + 5*c) - 1280*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5/2*d*x + 5/2*c) + 10*sin(3*d*x + 3*c)*sin(
5/2*d*x + 5/2*c) + cos(5/2*d*x + 5/2*c))*sin(4*d*x + 4*c) - 2560*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5/
2*d*x + 5/2*c) + cos(5/2*d*x + 5/2*c))*sin(3*d*x + 3*c) - 128*(100*cos(2*d*x + 2*c)^2 + 100*cos(2*d*x + 2*c)*c
os(d*x + c) + 25*cos(d*x + c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)
^2 - 1)*sin(5/2*d*x + 5/2*c) + 70*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d
*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x
+ c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x
+ 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d
*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) +
sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d
*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*
x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(3/5*arctan2(sin(
5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 15*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*
c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c)
+ 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1
)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^
2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d
*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c)
+ 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 +
100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(1/5*
arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))))*cos(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*
c))) - 8*(128*cos(5*d*x + 5*c)^2*sin(5/2*d*x + 5/2*c) - 3200*cos(4*d*x + 4*c)^2*sin(5/2*d*x + 5/2*c) - 12800*(
2*cos(2*d*x + 2*c) + cos(d*x + c))*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c) - 12800*cos(3*d*x + 3*c)^2*sin(5/2*d*
x + 5/2*c) - 128*sin(5*d*x + 5*c)^2*sin(5/2*d*x + 5/2*c) - 3200*sin(4*d*x + 4*c)^2*sin(5/2*d*x + 5/2*c) - 1280
0*sin(3*d*x + 3*c)^2*sin(5/2*d*x + 5/2*c) - 256*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) +
5*cos(5/2*d*x + 5/2*c)*sin(4*d*x + 4*c) + 10*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c) - sin(5/2*d*x + 5/2*c))*cos
(5*d*x + 5*c) - 6400*((2*cos(2*d*x + 2*c) + cos(d*x + c))*sin(5/2*d*x + 5/2*c) + 2*cos(3*d*x + 3*c)*sin(5/2*d*
x + 5/2*c))*cos(4*d*x + 4*c) - 1280*(2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) - 1280*(5*(2*sin(
2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) + cos(5/2*d*x + 5/2*c)*sin(5*d*x + 5*c) + 5*cos(5/2*d*x + 5/
2*c)*sin(4*d*x + 4*c) + 10*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c) - (10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*
sin(5/2*d*x + 5/2*c) - cos(5*d*x + 5*c)*sin(5/2*d*x + 5/2*c) - 5*cos(4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) - 10*co
s(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*cos(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) - 256*(cos(5
*d*x + 5*c)*cos(5/2*d*x + 5/2*c) + 5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5/2*d*x + 5/2*c) + 5*sin(4*d*x +
4*c)*sin(5/2*d*x + 5/2*c) + 10*sin(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c) + cos(5/2*d*x + 5/2*c))*sin(5*d*x + 5*c)
- 1280*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5/2*d*x + 5/2*c) + 10*sin(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c)
+ cos(5/2*d*x + 5/2*c))*sin(4*d*x + 4*c) - 2560*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5/2*d*x + 5/2*c) +
cos(5/2*d*x + 5/2*c))*sin(3*d*x + 3*c) - 128*(100*cos(2*d*x + 2*c)^2 + 100*cos(2*d*x + 2*c)*cos(d*x + c) + 25*
cos(d*x + c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 - 1)*sin(5/2*d
*x + 5/2*c) + 70*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(
5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*
d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(
3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(s
in(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^
2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100
*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*
sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(3/5*arctan2(sin(5/2*d*x + 5/2*c),
cos(5/2*d*x + 5/2*c))) + 15*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x +
c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c)
+ 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c
) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x +
c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5
*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x +
4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2
*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(1/5*arctan2(sin(5/2*d
*x + 5/2*c), cos(5/2*d*x + 5/2*c))))*cos(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 56*(10*(si
n(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c)^2 + sin(5*d*x + 5*c)
^3 + (2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c)
+ cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) +
25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)
^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 50*(2*sin(3*d*x +
3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c)
+ sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(
d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(5*d*x + 5*c) + 5*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x
+ 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x +
3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x
+ 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2
*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2
*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(
d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c)
+ 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10
*cos(d*x + c) + 1)*sin(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))))*cos(3/5*arctan2(sin(5/2*d*x +
5/2*c), cos(5/2*d*x + 5/2*c))) - 4*(128*cos(5*d*x + 5*c)^2*sin(5/2*d*x + 5/2*c) - 3200*cos(4*d*x + 4*c)^2*sin
(5/2*d*x + 5/2*c) - 12800*(2*cos(2*d*x + 2*c) + cos(d*x + c))*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c) - 12800*co
s(3*d*x + 3*c)^2*sin(5/2*d*x + 5/2*c) - 128*sin(5*d*x + 5*c)^2*sin(5/2*d*x + 5/2*c) - 3200*sin(4*d*x + 4*c)^2*
sin(5/2*d*x + 5/2*c) - 12800*sin(3*d*x + 3*c)^2*sin(5/2*d*x + 5/2*c) - 256*(5*(2*sin(2*d*x + 2*c) + sin(d*x +
c))*cos(5/2*d*x + 5/2*c) + 5*cos(5/2*d*x + 5/2*c)*sin(4*d*x + 4*c) + 10*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c)
- sin(5/2*d*x + 5/2*c))*cos(5*d*x + 5*c) - 6400*((2*cos(2*d*x + 2*c) + cos(d*x + c))*sin(5/2*d*x + 5/2*c) + 2*
cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*cos(4*d*x + 4*c) - 1280*(2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x
+ 5/2*c) - 256*(cos(5*d*x + 5*c)*cos(5/2*d*x + 5/2*c) + 5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5/2*d*x + 5
/2*c) + 5*sin(4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) + 10*sin(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c) + cos(5/2*d*x + 5/2
*c))*sin(5*d*x + 5*c) - 1280*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5/2*d*x + 5/2*c) + 10*sin(3*d*x + 3*c)
*sin(5/2*d*x + 5/2*c) + cos(5/2*d*x + 5/2*c))*sin(4*d*x + 4*c) - 2560*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*s
in(5/2*d*x + 5/2*c) + cos(5/2*d*x + 5/2*c))*sin(3*d*x + 3*c) - 128*(100*cos(2*d*x + 2*c)^2 + 100*cos(2*d*x + 2
*c)*cos(d*x + c) + 25*cos(d*x + c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x
+ c)^2 - 1)*sin(5/2*d*x + 5/2*c) + 15*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*
cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*co
s(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3
*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*
cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*
c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*si
n(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin
(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(1/5*arctan2
(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))))*cos(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) +
12*(10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c)^2 + sin(5*
d*x + 5*c)^3 + (2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*
d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*
x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*
d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 50*(2*s
in(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d
*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x +
2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(5*d*x + 5*c))*cos(1/5*arctan2(sin(5/2*d*x +
5/2*c), cos(5/2*d*x + 5/2*c))) + 3*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(
d*x + c) + 2)*cos(5*d*x + 5*c)^3 + cos(5*d*x + 5*c)^4 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*
x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c)^3 + sin(5*d*x + 5*c)^4 + (10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2
*c) + 5*cos(d*x + c) + 3)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c)
+ 3)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 3)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*
c)^2 + 25*cos(d*x + c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*s
in(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*si
n(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 30*cos(d*x + c) + 6)*cos(5*d*x + 5*
c)^2 + 25*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x +
5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4
*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x +
3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*
x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*
(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin
(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d
*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(8/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/
2*d*x + 5/2*c)))^2 + 100*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) +
1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1
)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) +
100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2
+ 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x
+ 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)
^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^
2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(6/5*arctan2(sin(5/2*d*x +
5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 100*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5
*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*c
os(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(
3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25
*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5
*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*s
in(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*si
n(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(4/5*arctan
2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 25*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*
d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*
x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x
+ c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x
+ 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))
*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x
+ 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3
*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*
cos(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + (2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c)
+ 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 2)*cos(5*d*x + 5*c) + 2*cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c)
+ 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c)
+ 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) +
100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4
*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x
+ 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) +
2)*sin(5*d*x + 5*c)^2 + 25*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c
) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c)
+ 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c)
+ 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c
)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*
d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4
*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*
c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(8/5*arctan2(sin(5/2*d*
x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 100*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c)
+ 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) +
5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*c
os(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 +
25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x
+ 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 2
5*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100
*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(6/5*arc
tan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 100*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*co
s(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(
2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(
d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2
*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x +
c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4
*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x
+ 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) +
1)*sin(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 25*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x
+ 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x +
3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x +
2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*
c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*
c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d
*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) +
100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*
cos(d*x + c) + 1)*sin(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 2*(5*(20*cos(3*d*x + 3*c) +
20*cos(2*d*x + 2*c) + 10*cos(d*x + c) + 3)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 10*(20*cos(2*d*x + 2*c)
+ 10*cos(d*x + c) + 3)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 10*(10*cos(d*x + c) + 3)*cos(2*d*x + 2*c)
+ 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin
(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d
*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 15*cos(d*x + c)
+ 2)*cos(5*d*x + 5*c) + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c)
+ 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c
)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*((10*cos(4*d*
x + 4*c) + 20*cos(3*d*x + 3*c) + 20*cos(2*d*x + 2*c) + 10*cos(d*x + c) + 3)*cos(5*d*x + 5*c)^2 + cos(5*d*x + 5
*c)^3 + (cos(5*d*x + 5*c) + 1)*sin(5*d*x + 5*c)^2 + (10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x
+ c) + 2)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 2)*cos(3*d*x
+ 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 2)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d
*x + c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)
^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^
2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 20*cos(d*x + c) + 3)*cos(5*d*x + 5*c) + 10*(10*cos
(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*co
s(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2
*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 1
0*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*
cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*
cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*c
os(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d
*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*s
in(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3
*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x +
c) + 1)*cos(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*
x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x
+ 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x
+ 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x +
2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x +
2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin
(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c)
+ 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 1
0*cos(d*x + c) + 1)*cos(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 5*(2*(5*cos(4*d*x + 4*c) +
10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10
*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(1
0*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*c
os(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*s
in(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x +
2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3
*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x
+ c)^2 + 10*cos(d*x + c) + 1)*cos(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*((sin(4*d*x +
4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5*d*x + 5*c) + sin(4*d*x + 4*c) + 2*sin(3*
d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c)
+ sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x
+ 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)
^2 + 10*cos(d*x + c) + 1)*cos(8/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 20*((10*cos(4*d*x + 4
*c) + 20*cos(3*d*x + 3*c) + 20*cos(2*d*x + 2*c) + 10*cos(d*x + c) + 3)*cos(5*d*x + 5*c)^2 + cos(5*d*x + 5*c)^3
+ (cos(5*d*x + 5*c) + 1)*sin(5*d*x + 5*c)^2 + (10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c)
+ 2)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 2)*cos(3*d*x + 3*c
) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 2)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x +
c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 +
100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 1
00*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 20*cos(d*x + c) + 3)*cos(5*d*x + 5*c) + 10*(10*cos(3*d*
x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d
*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x
+ 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos
(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2
*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d
*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*
d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x +
c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*
d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x
+ 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) +
1)*cos(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 5*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*
c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c)
+ 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c
) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) +
100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) +
sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x +
c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100
*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(
d*x + c) + 1)*cos(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*((sin(4*d*x + 4*c) + 2*sin(3*d
*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5*d*x + 5*c) + sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*si
n(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*
sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(
3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x +
c) + 1)*cos(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 20*((10*cos(4*d*x + 4*c) + 20*cos(3*d*
x + 3*c) + 20*cos(2*d*x + 2*c) + 10*cos(d*x + c) + 3)*cos(5*d*x + 5*c)^2 + cos(5*d*x + 5*c)^3 + (cos(5*d*x + 5
*c) + 1)*sin(5*d*x + 5*c)^2 + (10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 2)*cos(4*d*x +
4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 2)*cos(3*d*x + 3*c) + 100*cos(3*d*x
+ 3*c)^2 + 20*(5*cos(d*x + c) + 2)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 50*(2*sin(
3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x
+ 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*
c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 20*cos(d*x + c) + 3)*cos(5*d*x + 5*c) + 10*(10*cos(3*d*x + 3*c) + 10*cos
(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos
(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(
2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 5*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*
cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*co
s(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3
*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*
cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*
c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*si
n(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin
(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(2/5*arctan2
(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*((sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c
) + sin(d*x + c))*cos(5*d*x + 5*c) + sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c)
)*sin(5*d*x + 5*c) + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d
*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*
x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(4/5*arctan2(sin(
5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*((10*cos(4*d*x + 4*c) + 20*cos(3*d*x + 3*c) + 20*cos(2*d*x + 2*c
) + 10*cos(d*x + c) + 3)*cos(5*d*x + 5*c)^2 + cos(5*d*x + 5*c)^3 + (cos(5*d*x + 5*c) + 1)*sin(5*d*x + 5*c)^2 +
(10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 2)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2
+ 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 2)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c
) + 2)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x +
2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*
d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x
+ c)^2 + 20*cos(d*x + c) + 3)*cos(5*d*x + 5*c) + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c
) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*
c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x +
c)^2 + 10*((sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5*d*x + 5*c) + sin
(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + 50*(2*sin(3*d*x + 3
*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) +
sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*
x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))
+ 10*((sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5*d*x + 5*c)^2 + 2*(sin
(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5*d*x + 5*c) + sin(4*d*x + 4*c) +
2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*
x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*si
n(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(
d*x + c)^2 + 10*(10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*
c)^2 + sin(5*d*x + 5*c)^3 + (2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c
) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c)
+ 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c)
+ 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c
)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 1
00*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 10
0*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(5*d*x + 5*c) + 10*(2*(5*cos(4*d
*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c
)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*
c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x
+ c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x
+ 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2
*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x
+ c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c)
+ 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*(
2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos
(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*co
s(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 2
0*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) +
2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*
x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*
c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*s
in(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2
*c))) + 5*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x +
5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4
*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x +
3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*
x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*
(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin
(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d
*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/
2*d*x + 5/2*c))))*sin(8/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 20*(10*(sin(4*d*x + 4*c) + 2*
sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c)^2 + sin(5*d*x + 5*c)^3 + (2*(5*cos(4*d*
x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)
^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c
)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x
+ c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x
+ 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin
(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d
*x + c)^2 + 10*cos(d*x + c) + 1)*sin(5*d*x + 5*c) + 10*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2
*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d
*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x
+ c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*
x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c)
)*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*
x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x +
3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)
*sin(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 5*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c)
+ 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) +
10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c)
+ 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 1
00*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + s
in(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c
))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*s
in(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*
x + c) + 1)*sin(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))))*sin(6/5*arctan2(sin(5/2*d*x + 5/2*c)
, cos(5/2*d*x + 5/2*c))) + 20*(10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*
sin(5*d*x + 5*c)^2 + sin(5*d*x + 5*c)^3 + (2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) +
5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5
*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*co
s(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 +
25*cos(d*x + c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*
x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x
+ 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(5*d*x + 5*c) + 5*
(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + co
s(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*c
os(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 +
20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) +
2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d
*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2
*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*
sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/
2*c))))*sin(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*(10*(sin(4*d*x + 4*c) + 2*sin(3*d*x
+ 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c)^2 + sin(5*d*x + 5*c)^3 + (2*(5*cos(4*d*x + 4*c) +
10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(1
0*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(
10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*
cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) +
sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3
*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2
+ 10*cos(d*x + c) + 1)*sin(5*d*x + 5*c))*sin(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*cos
(d*x + c) + 1)*log(cos(1/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + sin(1/5*arctan2(sin(5/2*d*
x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 2*sin(1/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 1) - 3
*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 2)*cos(5*d*x + 5*c)^3 +
cos(5*d*x + 5*c)^4 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x
+ 5*c)^3 + sin(5*d*x + 5*c)^4 + (10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 3)*cos(4*d*
x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 3)*cos(3*d*x + 3*c) + 100*cos(3*
d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 3)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 50*(2*s
in(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d
*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x +
2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 30*cos(d*x + c) + 6)*cos(5*d*x + 5*c)^2 + 25*(2*(5*cos(4*d*x + 4*c) +
10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(1
0*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(
10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*
cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*
sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x
+ 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(
3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*
x + c)^2 + 10*cos(d*x + c) + 1)*cos(8/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 100*(2*(5*cos
(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x +
5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x
+ 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos
(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*
d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c)
+ 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin
(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x +
c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2
+ 100*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c
) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c)
+ 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c
)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x +
4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*s
in(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d
*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x +
2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*
x + 5/2*c)))^2 + 25*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*c
os(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos
(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*c
os(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10
*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*
c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 +
100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 1
00*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(2/5*arctan2(sin(5/2*d*x + 5/2*
c), cos(5/2*d*x + 5/2*c)))^2 + (2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x
+ c) + 2)*cos(5*d*x + 5*c) + 2*cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x
+ c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x +
3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*
x + c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^
2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2
+ 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 2)*sin(5*d*x + 5*c)^2 + 25*(2*(5*
cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*
x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d
*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*
cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin
(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3
*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) +
sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*
x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(8/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))
^2 + 100*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x +
5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*
c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x +
3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x
+ 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(
2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(
2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*
x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2
*d*x + 5/2*c)))^2 + 100*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) +
1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)
*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 1
00*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2
+ 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x
+ 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^
2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2
+ 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(4/5*arctan2(sin(5/2*d*x +
5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 25*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*c
os(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos
(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*
d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*c
os(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c
) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin
(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(
2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(2/5*arctan2(
sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 2*(5*(20*cos(3*d*x + 3*c) + 20*cos(2*d*x + 2*c) + 10*cos(d*x
+ c) + 3)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 10*(20*cos(2*d*x + 2*c) + 10*cos(d*x + c) + 3)*cos(3*d*x
+ 3*c) + 100*cos(3*d*x + 3*c)^2 + 10*(10*cos(d*x + c) + 3)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(
d*x + c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c
)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)
^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 15*cos(d*x + c) + 2)*cos(5*d*x + 5*c) + 10*(10*co
s(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*c
os(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(
2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*((10*cos(4*d*x + 4*c) + 20*cos(3*d*x + 3*c) + 2
0*cos(2*d*x + 2*c) + 10*cos(d*x + c) + 3)*cos(5*d*x + 5*c)^2 + cos(5*d*x + 5*c)^3 + (cos(5*d*x + 5*c) + 1)*sin
(5*d*x + 5*c)^2 + (10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 2)*cos(4*d*x + 4*c) + 25*c
os(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 2)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 +
20*(5*cos(d*x + c) + 2)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 50*(2*sin(3*d*x + 3*c)
+ 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin
(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x +
c) + 25*sin(d*x + c)^2 + 20*cos(d*x + c) + 3)*cos(5*d*x + 5*c) + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c
) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) +
1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)
^2 + 25*cos(d*x + c)^2 + 10*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c
) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c)
+ 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c)
+ 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c
)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*
d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4
*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*
c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(6/5*arctan2(sin(5/2*d*
x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5
*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*c
os(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(
3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25
*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5
*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*s
in(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*si
n(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(4/5*arctan
2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 5*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x
+ 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x +
2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c
) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x +
2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*si
n(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x +
4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)
^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos
(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*((sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin
(2*d*x + 2*c) + sin(d*x + c))*cos(5*d*x + 5*c) + sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) +
sin(d*x + c))*sin(5*d*x + 5*c) + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c)
+ 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 +
100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(8/5*
arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 20*((10*cos(4*d*x + 4*c) + 20*cos(3*d*x + 3*c) + 20*cos
(2*d*x + 2*c) + 10*cos(d*x + c) + 3)*cos(5*d*x + 5*c)^2 + cos(5*d*x + 5*c)^3 + (cos(5*d*x + 5*c) + 1)*sin(5*d*
x + 5*c)^2 + (10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 2)*cos(4*d*x + 4*c) + 25*cos(4*
d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 2)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5
*cos(d*x + c) + 2)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*
sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x
+ c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) +
25*sin(d*x + c)^2 + 20*cos(d*x + c) + 3)*cos(5*d*x + 5*c) + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5
*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*co
s(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 +
25*cos(d*x + c)^2 + 10*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1
)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*
cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 10
0*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 +
10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x +
5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2
+ 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2
+ 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(4/5*arctan2(sin(5/2*d*x + 5
/2*c), cos(5/2*d*x + 5/2*c))) + 5*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d
*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x
+ c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x
+ 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d
*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) +
sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d
*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*
x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(2/5*arctan2(sin(
5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*((sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + s
in(d*x + c))*cos(5*d*x + 5*c) + sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin
(5*d*x + 5*c) + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x +
4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2
*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(6/5*arctan2(sin(5/2*d
*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 20*((10*cos(4*d*x + 4*c) + 20*cos(3*d*x + 3*c) + 20*cos(2*d*x + 2*c) + 1
0*cos(d*x + c) + 3)*cos(5*d*x + 5*c)^2 + cos(5*d*x + 5*c)^3 + (cos(5*d*x + 5*c) + 1)*sin(5*d*x + 5*c)^2 + (10*
(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 2)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20
*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 2)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 2
)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c)
+ sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x +
3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^
2 + 20*cos(d*x + c) + 3)*cos(5*d*x + 5*c) + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1
)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) +
100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2
+ 5*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c)
+ cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) +
25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)
^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4
*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*si
n(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*
x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x +
2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x
+ 5/2*c))) + 10*((sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5*d*x + 5*c)
+ sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + 50*(2*sin(3*d
*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2
*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*
sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/
2*c))) + 10*((10*cos(4*d*x + 4*c) + 20*cos(3*d*x + 3*c) + 20*cos(2*d*x + 2*c) + 10*cos(d*x + c) + 3)*cos(5*d*x
+ 5*c)^2 + cos(5*d*x + 5*c)^3 + (cos(5*d*x + 5*c) + 1)*sin(5*d*x + 5*c)^2 + (10*(10*cos(3*d*x + 3*c) + 10*cos
(2*d*x + 2*c) + 5*cos(d*x + c) + 2)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos
(d*x + c) + 2)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 2)*cos(2*d*x + 2*c) + 100*cos(
2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4
*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^
2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 20*cos(d*x + c) + 3)*cos(
5*d*x + 5*c) + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4
*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(
5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*((sin(4*d*x + 4*c) + 2*
sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5*d*x + 5*c) + sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c)
+ 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x
+ c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 1
00*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*co
s(d*x + c) + 1)*cos(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*((sin(4*d*x + 4*c) + 2*sin(3
*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5*d*x + 5*c)^2 + 2*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c)
+ 2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5*d*x + 5*c) + sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x +
2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x
+ 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3
*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*(10*(sin(4*d*x + 4
*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c)^2 + sin(5*d*x + 5*c)^3 + (2*(5*
cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*
x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d
*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*
cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*s
in(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x +
c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) +
25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(5*d*x + 5*c) + 10*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) +
10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10
*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5
*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*
cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(
d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*
sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(
3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x +
c) + 1)*sin(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d
*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x
+ 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*
x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x +
2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x +
2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + si
n(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c
) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 +
10*cos(d*x + c) + 1)*sin(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 5*(2*(5*cos(4*d*x + 4*c) +
10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(1
0*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(
10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*
cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*
sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x
+ 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(
3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*
x + c)^2 + 10*cos(d*x + c) + 1)*sin(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))))*sin(8/5*arctan2(
sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 20*(10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2
*c) + sin(d*x + c))*sin(5*d*x + 5*c)^2 + sin(5*d*x + 5*c)^3 + (2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 1
0*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*
cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*
cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*c
os(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x
+ 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*
c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*s
in(5*d*x + 5*c) + 10*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*
cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*co
s(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*
cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 1
0*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5
*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 +
100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 +
100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(4/5*arctan2(sin(5/2*d*x + 5/2
*c), cos(5/2*d*x + 5/2*c))) + 5*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x
+ c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x +
c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x +
3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x
+ c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + si
n(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x
+ 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x
+ 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(2/5*arctan2(sin(5/
2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))))*sin(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 20*(10*
(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c)^2 + sin(5*d*x + 5
*c)^3 + (2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5
*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c
) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3
*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 50*(2*sin(3*d*
x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*
c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*s
in(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(5*d*x + 5*c) + 5*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*
d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*
x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d
*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x
+ 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x
+ 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + s
in(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*
c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 +
10*cos(d*x + c) + 1)*sin(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))))*sin(4/5*arctan2(sin(5/2*d*
x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*(10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(
d*x + c))*sin(5*d*x + 5*c)^2 + sin(5*d*x + 5*c)^3 + (2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*
x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x
+ 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x +
c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x +
2*c)^2 + 25*cos(d*x + c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 2
5*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100
*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(5*d*x +
5*c))*sin(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*cos(d*x + c) + 1)*log(cos(1/5*arctan2
(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + sin(1/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))
^2 - 2*sin(1/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 1) - 512*(5*cos(4*d*x + 4*c)^2*cos(5/2*d
*x + 5/2*c) + 4*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c)*cos(5/2*d*x + 5/2*c) + 20*cos(3*d*
x + 3*c)^2*cos(5/2*d*x + 5/2*c) + 5*cos(5/2*d*x + 5/2*c)*sin(4*d*x + 4*c)^2 + 20*cos(5/2*d*x + 5/2*c)*sin(3*d*
x + 3*c)^2 + 2*((2*cos(2*d*x + 2*c) + cos(d*x + c))*cos(5/2*d*x + 5/2*c) + cos(4*d*x + 4*c)*cos(5/2*d*x + 5/2*
c) + 2*cos(3*d*x + 3*c)*cos(5/2*d*x + 5/2*c) - (2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5/2*d*x + 5/2*c) - sin(
4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) - 2*sin(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*cos(5*d*x + 5*c) + 2*((10*cos(2*d
*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5/2*d*x + 5/2*c) + 10*cos(3*d*x + 3*c)*cos(5/2*d*x + 5/2*c))*cos(4*d*x + 4
*c) + (4*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 20*cos(2*d*x + 2*c)^2 + 5*cos(d*x + c)^2 + 20*sin(2*d*x + 2*c
)^2 + 20*sin(2*d*x + 2*c)*sin(d*x + c) + 5*sin(d*x + c)^2 + 2*cos(d*x + c))*cos(5/2*d*x + 5/2*c) + 2*(5*(2*sin
(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) + 10*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c) - sin(5/2*d*x +
5/2*c))*sin(4*d*x + 4*c) + 4*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) - sin(5/2*d*x + 5/2*c
))*sin(3*d*x + 3*c) - 2*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5/2*d*x + 5/2*c))*sin(5*d*x + 5*c) + 512*(10*(
2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5/2*d*x + 5/2*c) + 20*sin(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c) + cos(5/2*d
*x + 5/2*c))*sin(4*d*x + 4*c) + 1024*(10*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5/2*d*x + 5/2*c) + cos(5/2*d*
x + 5/2*c))*sin(3*d*x + 3*c) + 512*(2*(10*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 20*cos(2*d*x + 2*c)^2 + 5*cos(d
*x + c)^2 + 20*sin(2*d*x + 2*c)^2 + 20*sin(2*d*x + 2*c)*sin(d*x + c) + 5*sin(d*x + c)^2 + cos(d*x + c))*sin(5/
2*d*x + 5/2*c) + 12*((10*cos(4*d*x + 4*c) + 20*cos(3*d*x + 3*c) + 20*cos(2*d*x + 2*c) + 10*cos(d*x + c) + 3)*c
os(5*d*x + 5*c)^2 + cos(5*d*x + 5*c)^3 + (cos(5*d*x + 5*c) + 1)*sin(5*d*x + 5*c)^2 + (10*(10*cos(3*d*x + 3*c)
+ 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 2)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c)
+ 5*cos(d*x + c) + 2)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 2)*cos(2*d*x + 2*c) +
100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4
*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x
+ 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 20*cos(d*x + c) +
3)*cos(5*d*x + 5*c) + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) +
25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^
2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 5*(2*(5*cos(4*d*x
+ 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2
+ 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^
2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x +
c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3
*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*si
n(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x +
c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 2
5*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(8/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*(2*(
5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*
d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4
*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(
5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*s
in(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x +
3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c)
+ sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(
d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)
)) + 10*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5
*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c
) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3
*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x
+ 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2
*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2
*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x
+ 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*
d*x + 5/2*c))) + 5*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*co
s(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(
4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*co
s(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*
(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c
)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 1
00*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 10
0*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(2/5*arctan2(sin(5/2*d*x + 5/2*c
), cos(5/2*d*x + 5/2*c))) + 10*((sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*co
s(5*d*x + 5*c) + sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) +
50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2
*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin
(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(9/5*arctan2(sin(5/2*d*x + 5/2*c), co
s(5/2*d*x + 5/2*c))) - 4*(128*cos(5*d*x + 5*c)^2*cos(5/2*d*x + 5/2*c) + 3200*cos(4*d*x + 4*c)^2*cos(5/2*d*x +
5/2*c) + 2560*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c)*cos(5/2*d*x + 5/2*c) + 12800*cos(3*d
*x + 3*c)^2*cos(5/2*d*x + 5/2*c) - 128*cos(5/2*d*x + 5/2*c)*sin(5*d*x + 5*c)^2 + 3200*cos(5/2*d*x + 5/2*c)*sin
(4*d*x + 4*c)^2 + 12800*(2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c) + 12800*cos(
5/2*d*x + 5/2*c)*sin(3*d*x + 3*c)^2 + 256*((10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5/2*d*x + 5/2*c) + 5
*cos(4*d*x + 4*c)*cos(5/2*d*x + 5/2*c) + 10*cos(3*d*x + 3*c)*cos(5/2*d*x + 5/2*c))*cos(5*d*x + 5*c) + 1280*((1
0*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5/2*d*x + 5/2*c) + 10*cos(3*d*x + 3*c)*cos(5/2*d*x + 5/2*c))*cos(
4*d*x + 4*c) + 128*(20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10
0*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(5/2*d*
x + 5/2*c) + 70*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5
*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d
*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3
*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(si
n(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2
+ 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*
(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*s
in(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(7/5*arctan2(sin(5/2*d*x + 5/2*c),
cos(5/2*d*x + 5/2*c))) - 70*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c
) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c)
+ 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c)
+ 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c
)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*
d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4
*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*
c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(3/5*arctan2(sin(5/2*d*
x + 5/2*c), cos(5/2*d*x + 5/2*c))) - 15*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5
*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*c
os(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(
3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25
*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5
*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*s
in(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*si
n(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(1/5*arctan
2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 256*((10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*sin(5/2*d*x +
5/2*c) + cos(5*d*x + 5*c)*sin(5/2*d*x + 5/2*c) + 5*cos(4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) + 10*cos(3*d*x + 3*c
)*sin(5/2*d*x + 5/2*c))*sin(5*d*x + 5*c) + 6400*((2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) + 2*
cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c))*sin(4*d*x + 4*c) - 2560*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*
d*x + 5/2*c) + cos(5/2*d*x + 5/2*c)*sin(5*d*x + 5*c) + 5*cos(5/2*d*x + 5/2*c)*sin(4*d*x + 4*c) + 10*cos(5/2*d*
x + 5/2*c)*sin(3*d*x + 3*c) - (10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*sin(5/2*d*x + 5/2*c) - cos(5*d*x + 5*
c)*sin(5/2*d*x + 5/2*c) - 5*cos(4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) - 10*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*
sin(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) - 2560*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*cos
(5/2*d*x + 5/2*c) + cos(5/2*d*x + 5/2*c)*sin(5*d*x + 5*c) + 5*cos(5/2*d*x + 5/2*c)*sin(4*d*x + 4*c) + 10*cos(5
/2*d*x + 5/2*c)*sin(3*d*x + 3*c) - (10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*sin(5/2*d*x + 5/2*c) - cos(5*d*x
+ 5*c)*sin(5/2*d*x + 5/2*c) - 5*cos(4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) - 10*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2
*c))*sin(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) - 1280*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c)
)*cos(5/2*d*x + 5/2*c) + cos(5/2*d*x + 5/2*c)*sin(5*d*x + 5*c) + 5*cos(5/2*d*x + 5/2*c)*sin(4*d*x + 4*c) + 10*
cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c) - (10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*sin(5/2*d*x + 5/2*c) - cos(
5*d*x + 5*c)*sin(5/2*d*x + 5/2*c) - 5*cos(4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) - 10*cos(3*d*x + 3*c)*sin(5/2*d*x
+ 5/2*c))*sin(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))))*sin(8/5*arctan2(sin(5/2*d*x + 5/2*c),
cos(5/2*d*x + 5/2*c))) + 56*((10*cos(4*d*x + 4*c) + 20*cos(3*d*x + 3*c) + 20*cos(2*d*x + 2*c) + 10*cos(d*x + c
) + 3)*cos(5*d*x + 5*c)^2 + cos(5*d*x + 5*c)^3 + (cos(5*d*x + 5*c) + 1)*sin(5*d*x + 5*c)^2 + (10*(10*cos(3*d*x
+ 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 2)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*
x + 2*c) + 5*cos(d*x + c) + 2)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 2)*cos(2*d*x +
2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c
))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*s
in(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 20*cos(d*
x + c) + 3)*cos(5*d*x + 5*c) + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x +
4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x
+ 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(2*(5*c
os(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x
+ 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*
x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*c
os(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(
3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*
c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + s
in(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x
+ c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))
+ 10*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c)
+ cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) +
25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)
^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4
*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*si
n(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*
x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x +
2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x
+ 5/2*c))) + 5*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5
*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d
*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3
*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(si
n(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2
+ 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*
(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*s
in(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(2/5*arctan2(sin(5/2*d*x + 5/2*c),
cos(5/2*d*x + 5/2*c))) + 10*((sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5
*d*x + 5*c) + sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + 50
*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*si
n(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*
d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(7/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5
/2*d*x + 5/2*c))) - 8*(128*cos(5*d*x + 5*c)^2*cos(5/2*d*x + 5/2*c) + 3200*cos(4*d*x + 4*c)^2*cos(5/2*d*x + 5/2
*c) + 2560*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c)*cos(5/2*d*x + 5/2*c) + 12800*cos(3*d*x
+ 3*c)^2*cos(5/2*d*x + 5/2*c) - 128*cos(5/2*d*x + 5/2*c)*sin(5*d*x + 5*c)^2 + 3200*cos(5/2*d*x + 5/2*c)*sin(4*
d*x + 4*c)^2 + 12800*(2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c) + 12800*cos(5/2
*d*x + 5/2*c)*sin(3*d*x + 3*c)^2 + 256*((10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5/2*d*x + 5/2*c) + 5*co
s(4*d*x + 4*c)*cos(5/2*d*x + 5/2*c) + 10*cos(3*d*x + 3*c)*cos(5/2*d*x + 5/2*c))*cos(5*d*x + 5*c) + 1280*((10*c
os(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5/2*d*x + 5/2*c) + 10*cos(3*d*x + 3*c)*cos(5/2*d*x + 5/2*c))*cos(4*d
*x + 4*c) + 128*(20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 100*s
in(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(5/2*d*x +
5/2*c) - 70*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*
x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x
+ 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*
x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4
*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 +
50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*
sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(
2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(3/5*arctan2(sin(5/2*d*x + 5/2*c), cos
(5/2*d*x + 5/2*c))) - 15*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) +
1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1
)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) +
100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2
+ 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x
+ 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)
^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^
2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(1/5*arctan2(sin(5/2*d*x +
5/2*c), cos(5/2*d*x + 5/2*c))) + 256*((10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*sin(5/2*d*x + 5/2*c) + cos(5
*d*x + 5*c)*sin(5/2*d*x + 5/2*c) + 5*cos(4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) + 10*cos(3*d*x + 3*c)*sin(5/2*d*x +
5/2*c))*sin(5*d*x + 5*c) + 6400*((2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) + 2*cos(5/2*d*x + 5
/2*c)*sin(3*d*x + 3*c))*sin(4*d*x + 4*c) - 2560*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) +
cos(5/2*d*x + 5/2*c)*sin(5*d*x + 5*c) + 5*cos(5/2*d*x + 5/2*c)*sin(4*d*x + 4*c) + 10*cos(5/2*d*x + 5/2*c)*sin(
3*d*x + 3*c) - (10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*sin(5/2*d*x + 5/2*c) - cos(5*d*x + 5*c)*sin(5/2*d*x
+ 5/2*c) - 5*cos(4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) - 10*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*sin(4/5*arctan2
(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) - 1280*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*
c) + cos(5/2*d*x + 5/2*c)*sin(5*d*x + 5*c) + 5*cos(5/2*d*x + 5/2*c)*sin(4*d*x + 4*c) + 10*cos(5/2*d*x + 5/2*c)
*sin(3*d*x + 3*c) - (10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*sin(5/2*d*x + 5/2*c) - cos(5*d*x + 5*c)*sin(5/2
*d*x + 5/2*c) - 5*cos(4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) - 10*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*sin(2/5*ar
ctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))))*sin(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)
)) - 8*(128*cos(5*d*x + 5*c)^2*cos(5/2*d*x + 5/2*c) + 3200*cos(4*d*x + 4*c)^2*cos(5/2*d*x + 5/2*c) + 2560*(10*
cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c)*cos(5/2*d*x + 5/2*c) + 12800*cos(3*d*x + 3*c)^2*cos(5/
2*d*x + 5/2*c) - 128*cos(5/2*d*x + 5/2*c)*sin(5*d*x + 5*c)^2 + 3200*cos(5/2*d*x + 5/2*c)*sin(4*d*x + 4*c)^2 +
12800*(2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c) + 12800*cos(5/2*d*x + 5/2*c)*s
in(3*d*x + 3*c)^2 + 256*((10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5/2*d*x + 5/2*c) + 5*cos(4*d*x + 4*c)*
cos(5/2*d*x + 5/2*c) + 10*cos(3*d*x + 3*c)*cos(5/2*d*x + 5/2*c))*cos(5*d*x + 5*c) + 1280*((10*cos(2*d*x + 2*c)
+ 5*cos(d*x + c) + 1)*cos(5/2*d*x + 5/2*c) + 10*cos(3*d*x + 3*c)*cos(5/2*d*x + 5/2*c))*cos(4*d*x + 4*c) + 128
*(20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 100*sin(2*d*x + 2*c)
^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(5/2*d*x + 5/2*c) - 70*(2
*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(
5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos
(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20
*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2
*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x
+ 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c
) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*si
n(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(3/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*
c))) - 15*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x +
5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4
*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x +
3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*
x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*
(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin
(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d
*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(1/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/
2*d*x + 5/2*c))) + 256*((10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*sin(5/2*d*x + 5/2*c) + cos(5*d*x + 5*c)*sin
(5/2*d*x + 5/2*c) + 5*cos(4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) + 10*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*sin(5*
d*x + 5*c) + 6400*((2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) + 2*cos(5/2*d*x + 5/2*c)*sin(3*d*x
+ 3*c))*sin(4*d*x + 4*c) - 1280*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) + cos(5/2*d*x + 5
/2*c)*sin(5*d*x + 5*c) + 5*cos(5/2*d*x + 5/2*c)*sin(4*d*x + 4*c) + 10*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c) -
(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*sin(5/2*d*x + 5/2*c) - cos(5*d*x + 5*c)*sin(5/2*d*x + 5/2*c) - 5*co
s(4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) - 10*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*sin(2/5*arctan2(sin(5/2*d*x +
5/2*c), cos(5/2*d*x + 5/2*c))))*sin(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) - 56*((10*cos(4*d
*x + 4*c) + 20*cos(3*d*x + 3*c) + 20*cos(2*d*x + 2*c) + 10*cos(d*x + c) + 3)*cos(5*d*x + 5*c)^2 + cos(5*d*x +
5*c)^3 + (cos(5*d*x + 5*c) + 1)*sin(5*d*x + 5*c)^2 + (10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*
x + c) + 2)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 2)*cos(3*d*x
+ 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 2)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(
d*x + c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c
)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)
^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 20*cos(d*x + c) + 3)*cos(5*d*x + 5*c) + 10*(10*co
s(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*c
os(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(
2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 5*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 1
0*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*
cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*
cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*c
os(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d
*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*s
in(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3
*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x +
c) + 1)*cos(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*((sin(4*d*x + 4*c) + 2*sin(3*d*x + 3
*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5*d*x + 5*c) + sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*
x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*
d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x
+ 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) +
1)*sin(3/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) - 4*(128*cos(5*d*x + 5*c)^2*cos(5/2*d*x + 5/2*
c) + 3200*cos(4*d*x + 4*c)^2*cos(5/2*d*x + 5/2*c) + 2560*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x
+ 3*c)*cos(5/2*d*x + 5/2*c) + 12800*cos(3*d*x + 3*c)^2*cos(5/2*d*x + 5/2*c) - 128*cos(5/2*d*x + 5/2*c)*sin(5*d
*x + 5*c)^2 + 3200*cos(5/2*d*x + 5/2*c)*sin(4*d*x + 4*c)^2 + 12800*(2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2
*d*x + 5/2*c)*sin(3*d*x + 3*c) + 12800*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c)^2 + 256*((10*cos(2*d*x + 2*c) + 5
*cos(d*x + c) + 1)*cos(5/2*d*x + 5/2*c) + 5*cos(4*d*x + 4*c)*cos(5/2*d*x + 5/2*c) + 10*cos(3*d*x + 3*c)*cos(5/
2*d*x + 5/2*c))*cos(5*d*x + 5*c) + 1280*((10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5/2*d*x + 5/2*c) + 10*
cos(3*d*x + 3*c)*cos(5/2*d*x + 5/2*c))*cos(4*d*x + 4*c) + 128*(20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*
cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d
*x + c)^2 + 10*cos(d*x + c) + 1)*cos(5/2*d*x + 5/2*c) - 15*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*c
os(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos
(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos
(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(
2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x
+ c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(
4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*
x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c)
+ 1)*cos(1/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 256*((10*cos(2*d*x + 2*c) + 5*cos(d*x + c)
+ 1)*sin(5/2*d*x + 5/2*c) + cos(5*d*x + 5*c)*sin(5/2*d*x + 5/2*c) + 5*cos(4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) +
10*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*sin(5*d*x + 5*c) + 6400*((2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/
2*d*x + 5/2*c) + 2*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c))*sin(4*d*x + 4*c))*sin(2/5*arctan2(sin(5/2*d*x + 5/2*
c), cos(5/2*d*x + 5/2*c))) - 12*((10*cos(4*d*x + 4*c) + 20*cos(3*d*x + 3*c) + 20*cos(2*d*x + 2*c) + 10*cos(d*x
+ c) + 3)*cos(5*d*x + 5*c)^2 + cos(5*d*x + 5*c)^3 + (cos(5*d*x + 5*c) + 1)*sin(5*d*x + 5*c)^2 + (10*(10*cos(3
*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 2)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(
2*d*x + 2*c) + 5*cos(d*x + c) + 2)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 2)*cos(2*d
*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x
+ c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 1
00*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 20*co
s(d*x + c) + 3)*cos(5*d*x + 5*c) + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d
*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3
*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*((s
in(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5*d*x + 5*c) + sin(4*d*x + 4*c)
+ 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*
d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*
sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*si
n(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(1/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))))*B/((sqrt(2)*
a^2*cos(5*d*x + 5*c)^4 + sqrt(2)*a^2*sin(5*d*x + 5*c)^4 + 25*sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*
cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 25*sqrt(2)*a^2*cos(d*x + c)^2 + 25*sqrt(2)*a^2*sin(4
*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(
2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d*x + c)^2 + 2*(5*sqrt(2)*a^2*cos(4*d*x + 4*c) + 10*sqrt(2)*a^2
*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + 2*sqrt(2)*a^2)*cos(5*d*x +
5*c)^3 + 10*(sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) +
sqrt(2)*a^2*sin(d*x + c))*sin(5*d*x + 5*c)^3 + 10*sqrt(2)*a^2*cos(d*x + c) + (25*sqrt(2)*a^2*cos(4*d*x + 4*c)^
2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 25*sqrt(2)*a^2*cos(d*x + c)^2 +
25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 +
100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d*x + c)^2 + 30*sqrt(2)*a^2*cos(d*x + c) +
6*sqrt(2)*a^2 + 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x
+ c) + 3*sqrt(2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + 3*
sqrt(2)*a^2)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + 3*sqrt(2)*a^2)*cos(2*d*x + 2*c) + 50*(2*sqrt(
2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x + 4*c) + 100*(2
*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*cos(5*d*x + 5*c)^2 + 25*(sqrt(2)*a
^2*cos(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a
^2*cos(2*d*x + 2*c)^2 + 25*sqrt(2)*a^2*cos(d*x + c)^2 + sqrt(2)*a^2*sin(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*sin(4*
d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2
*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d*x + c)^2 + 10*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2 + 2*(5*sq
rt(2)*a^2*cos(4*d*x + 4*c) + 10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2
*cos(d*x + c) + sqrt(2)*a^2)*cos(5*d*x + 5*c) + 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x
+ 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5
*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(
2*d*x + 2*c) + 10*(sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2
*c) + sqrt(2)*a^2*sin(d*x + c))*sin(5*d*x + 5*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*
x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(
d*x + c))*sin(3*d*x + 3*c))*cos(8/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 100*(sqrt(2)*a^2*
cos(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*
cos(2*d*x + 2*c)^2 + 25*sqrt(2)*a^2*cos(d*x + c)^2 + sqrt(2)*a^2*sin(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*sin(4*d*x
+ 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*
x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d*x + c)^2 + 10*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2 + 2*(5*sqrt(
2)*a^2*cos(4*d*x + 4*c) + 10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*co
s(d*x + c) + sqrt(2)*a^2)*cos(5*d*x + 5*c) + 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x +
2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sq
rt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d
*x + 2*c) + 10*(sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c)
+ sqrt(2)*a^2*sin(d*x + c))*sin(5*d*x + 5*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x +
2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x
+ c))*sin(3*d*x + 3*c))*cos(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 100*(sqrt(2)*a^2*cos
(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos
(2*d*x + 2*c)^2 + 25*sqrt(2)*a^2*cos(d*x + c)^2 + sqrt(2)*a^2*sin(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*sin(4*d*x +
4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x +
2*c)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d*x + c)^2 + 10*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2 + 2*(5*sqrt(2)*
a^2*cos(4*d*x + 4*c) + 10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d
*x + c) + sqrt(2)*a^2)*cos(5*d*x + 5*c) + 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c
) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(
2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x
+ 2*c) + 10*(sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) +
sqrt(2)*a^2*sin(d*x + c))*sin(5*d*x + 5*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*
c) + sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x +
c))*sin(3*d*x + 3*c))*cos(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 25*(sqrt(2)*a^2*cos(5*d
*x + 5*c)^2 + 25*sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d
*x + 2*c)^2 + 25*sqrt(2)*a^2*cos(d*x + c)^2 + sqrt(2)*a^2*sin(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c)
^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c
)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d*x + c)^2 + 10*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2 + 2*(5*sqrt(2)*a^2*
cos(4*d*x + 4*c) + 10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x +
c) + sqrt(2)*a^2)*cos(5*d*x + 5*c) + 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) +
5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a
^2*cos(d*x + c) + sqrt(2)*a^2)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*
c) + 10*(sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt
(2)*a^2*sin(d*x + c))*sin(5*d*x + 5*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) +
sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*
sin(3*d*x + 3*c))*cos(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + (2*sqrt(2)*a^2*cos(5*d*x +
5*c)^2 + 25*sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x +
2*c)^2 + 25*sqrt(2)*a^2*cos(d*x + c)^2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c)^
2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d*
x + c)^2 + 10*sqrt(2)*a^2*cos(d*x + c) + 2*sqrt(2)*a^2 + 2*(5*sqrt(2)*a^2*cos(4*d*x + 4*c) + 10*sqrt(2)*a^2*co
s(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + 2*sqrt(2)*a^2)*cos(5*d*x + 5*c
) + 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(
2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos
(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x +
3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2
*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*sin(5*d*x + 5*c)^2 + 25*(sqrt(2)*a^2*cos(5*d*x + 5*c
)^2 + 25*sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c
)^2 + 25*sqrt(2)*a^2*cos(d*x + c)^2 + sqrt(2)*a^2*sin(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100
*sqrt(2)*a^2*sin(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*
x + c) + 25*sqrt(2)*a^2*sin(d*x + c)^2 + 10*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2 + 2*(5*sqrt(2)*a^2*cos(4*d*
x + 4*c) + 10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sq
rt(2)*a^2)*cos(5*d*x + 5*c) + 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2
)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d
*x + c) + sqrt(2)*a^2)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*c) + 10*
(sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*
sin(d*x + c))*sin(5*d*x + 5*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)
*a^2*sin(d*x + c))*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*
x + 3*c))*sin(8/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 100*(sqrt(2)*a^2*cos(5*d*x + 5*c)^2
+ 25*sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2
+ 25*sqrt(2)*a^2*cos(d*x + c)^2 + sqrt(2)*a^2*sin(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100*sq
rt(2)*a^2*sin(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x +
c) + 25*sqrt(2)*a^2*sin(d*x + c)^2 + 10*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2 + 2*(5*sqrt(2)*a^2*cos(4*d*x +
4*c) + 10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(
2)*a^2)*cos(5*d*x + 5*c) + 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a
^2*cos(d*x + c) + sqrt(2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x
+ c) + sqrt(2)*a^2)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*c) + 10*(sq
rt(2)*a^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin
(d*x + c))*sin(5*d*x + 5*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^
2*sin(d*x + c))*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x +
3*c))*sin(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 100*(sqrt(2)*a^2*cos(5*d*x + 5*c)^2 +
25*sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 +
25*sqrt(2)*a^2*cos(d*x + c)^2 + sqrt(2)*a^2*sin(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100*sqrt(
2)*a^2*sin(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c)
+ 25*sqrt(2)*a^2*sin(d*x + c)^2 + 10*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2 + 2*(5*sqrt(2)*a^2*cos(4*d*x + 4*
c) + 10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*
a^2)*cos(5*d*x + 5*c) + 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*
cos(d*x + c) + sqrt(2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c
) + sqrt(2)*a^2)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*c) + 10*(sqrt(
2)*a^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*
x + c))*sin(5*d*x + 5*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*s
in(d*x + c))*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*
c))*sin(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 25*(sqrt(2)*a^2*cos(5*d*x + 5*c)^2 + 25*s
qrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 25*s
qrt(2)*a^2*cos(d*x + c)^2 + sqrt(2)*a^2*sin(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100*sqrt(2)*a
^2*sin(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 2
5*sqrt(2)*a^2*sin(d*x + c)^2 + 10*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2 + 2*(5*sqrt(2)*a^2*cos(4*d*x + 4*c) +
10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)
*cos(5*d*x + 5*c) + 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(
d*x + c) + sqrt(2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) +
sqrt(2)*a^2)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*c) + 10*(sqrt(2)*a
^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x +
c))*sin(5*d*x + 5*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d
*x + c))*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*
sin(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + sqrt(2)*a^2 + 2*(25*sqrt(2)*a^2*cos(4*d*x + 4
*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 25*sqrt(2)*a^2*cos(d*x + c)^
2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^
2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d*x + c)^2 + 15*sqrt(2)*a^2*cos(d*x + c
) + 2*sqrt(2)*a^2 + 5*(20*sqrt(2)*a^2*cos(3*d*x + 3*c) + 20*sqrt(2)*a^2*cos(2*d*x + 2*c) + 10*sqrt(2)*a^2*cos(
d*x + c) + 3*sqrt(2)*a^2)*cos(4*d*x + 4*c) + 10*(20*sqrt(2)*a^2*cos(2*d*x + 2*c) + 10*sqrt(2)*a^2*cos(d*x + c)
+ 3*sqrt(2)*a^2)*cos(3*d*x + 3*c) + 10*(10*sqrt(2)*a^2*cos(d*x + c) + 3*sqrt(2)*a^2)*cos(2*d*x + 2*c) + 50*(2
*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x + 4*c) +
100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*cos(5*d*x + 5*c) + 10*(10*sq
rt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(4
*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(3*d*x + 3*c)
+ 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*c) + 10*(sqrt(2)*a^2*cos(5*d*x + 5*c)^3 + 25*sq
rt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 25*sq
rt(2)*a^2*cos(d*x + c)^2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c)^2 + 100*sqrt(2
)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d*x + c)^2 + 10*
sqrt(2)*a^2*cos(d*x + c) + (10*sqrt(2)*a^2*cos(4*d*x + 4*c) + 20*sqrt(2)*a^2*cos(3*d*x + 3*c) + 20*sqrt(2)*a^2
*cos(2*d*x + 2*c) + 10*sqrt(2)*a^2*cos(d*x + c) + 3*sqrt(2)*a^2)*cos(5*d*x + 5*c)^2 + (sqrt(2)*a^2*cos(5*d*x +
5*c) + sqrt(2)*a^2)*sin(5*d*x + 5*c)^2 + sqrt(2)*a^2 + (25*sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*c
os(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 25*sqrt(2)*a^2*cos(d*x + c)^2 + 25*sqrt(2)*a^2*sin(4*
d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2
*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d*x + c)^2 + 20*sqrt(2)*a^2*cos(d*x + c) + 3*sqrt(2)*a^2 + 10*(1
0*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + 2*sqrt(2)*a^2)
*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + 2*sqrt(2)*a^2)*cos(3*d*
x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + 2*sqrt(2)*a^2)*cos(2*d*x + 2*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*
c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*
x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*cos(5*d*x + 5*c) + 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c)
+ 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2
)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*
x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*c) + 10*(sqrt(2)*a^2*cos(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*cos(4*d*x + 4*c)^
2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 25*sqrt(2)*a^2*cos(d*x + c)^2 +
sqrt(2)*a^2*sin(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c)^2 + 100*
sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d*x + c)^2
+ 10*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2 + 2*(5*sqrt(2)*a^2*cos(4*d*x + 4*c) + 10*sqrt(2)*a^2*cos(3*d*x +
3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(5*d*x + 5*c) + 10*(10*s
qrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(
4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(3*d*x + 3*c
) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*c) + 10*(sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sqrt
(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(5*d*x + 5*c) + 50*(2
*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x + 4*c) +
100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*cos(6/5*arctan2(sin(5/2*d*x
+ 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*(sqrt(2)*a^2*cos(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 10
0*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 25*sqrt(2)*a^2*cos(d*x + c)^2 + sqrt(2
)*a^2*sin(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c)^2 + 100*sqrt(2
)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d*x + c)^2 + 10*
sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2 + 2*(5*sqrt(2)*a^2*cos(4*d*x + 4*c) + 10*sqrt(2)*a^2*cos(3*d*x + 3*c) +
10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(5*d*x + 5*c) + 10*(10*sqrt(2)
*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(4*d*x
+ 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(3*d*x + 3*c) + 20
*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*c) + 10*(sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a^
2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(5*d*x + 5*c) + 50*(2*sqrt(
2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x + 4*c) + 100*(2
*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*cos(4/5*arctan2(sin(5/2*d*x + 5/2*
c), cos(5/2*d*x + 5/2*c))) + 5*(sqrt(2)*a^2*cos(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(
2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 25*sqrt(2)*a^2*cos(d*x + c)^2 + sqrt(2)*a^2*s
in(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*s
in(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d*x + c)^2 + 10*sqrt(2)
*a^2*cos(d*x + c) + sqrt(2)*a^2 + 2*(5*sqrt(2)*a^2*cos(4*d*x + 4*c) + 10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqr
t(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(5*d*x + 5*c) + 10*(10*sqrt(2)*a^2*co
s(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(4*d*x + 4*c)
+ 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(3*d*x + 3*c) + 20*(5*sqr
t(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*c) + 10*(sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3
*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(5*d*x + 5*c) + 50*(2*sqrt(2)*a^2*
sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x + 4*c) + 100*(2*sqrt(2
)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*cos(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos
(5/2*d*x + 5/2*c))) + 10*(sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*
d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c) + (sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqr
t(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*cos(5*d*x + 5*c))*sin(5*d*x + 5*c) + 50*(2*sqrt(2)*a^2*s
in(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x + 4*c) + 100*(2*sqrt(2)
*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*cos(8/5*arctan2(sin(5/2*d*x + 5/2*c), cos(
5/2*d*x + 5/2*c))) + 20*(sqrt(2)*a^2*cos(5*d*x + 5*c)^3 + 25*sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*
cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 25*sqrt(2)*a^2*cos(d*x + c)^2 + 25*sqrt(2)*a^2*sin(4
*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(
2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d*x + c)^2 + 10*sqrt(2)*a^2*cos(d*x + c) + (10*sqrt(2)*a^2*cos(
4*d*x + 4*c) + 20*sqrt(2)*a^2*cos(3*d*x + 3*c) + 20*sqrt(2)*a^2*cos(2*d*x + 2*c) + 10*sqrt(2)*a^2*cos(d*x + c)
+ 3*sqrt(2)*a^2)*cos(5*d*x + 5*c)^2 + (sqrt(2)*a^2*cos(5*d*x + 5*c) + sqrt(2)*a^2)*sin(5*d*x + 5*c)^2 + sqrt(
2)*a^2 + (25*sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x +
2*c)^2 + 25*sqrt(2)*a^2*cos(d*x + c)^2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c)
^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d
*x + c)^2 + 20*sqrt(2)*a^2*cos(d*x + c) + 3*sqrt(2)*a^2 + 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2
*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + 2*sqrt(2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*
x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + 2*sqrt(2)*a^2)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + 2*s
qrt(2)*a^2)*cos(2*d*x + 2*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a
^2*sin(d*x + c))*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x
+ 3*c))*cos(5*d*x + 5*c) + 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a
^2*cos(d*x + c) + sqrt(2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x
+ c) + sqrt(2)*a^2)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*c) + 10*(sq
rt(2)*a^2*cos(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sq
rt(2)*a^2*cos(2*d*x + 2*c)^2 + 25*sqrt(2)*a^2*cos(d*x + c)^2 + sqrt(2)*a^2*sin(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2
*sin(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^
2*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d*x + c)^2 + 10*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2 +
2*(5*sqrt(2)*a^2*cos(4*d*x + 4*c) + 10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt
(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(5*d*x + 5*c) + 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*co
s(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2
*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^
2)*cos(2*d*x + 2*c) + 10*(sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*
d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(5*d*x + 5*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*s
in(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a
^2*sin(d*x + c))*sin(3*d*x + 3*c))*cos(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 5*(sqrt(2)*a
^2*cos(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a
^2*cos(2*d*x + 2*c)^2 + 25*sqrt(2)*a^2*cos(d*x + c)^2 + sqrt(2)*a^2*sin(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*sin(4*
d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2
*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d*x + c)^2 + 10*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2 + 2*(5*sq
rt(2)*a^2*cos(4*d*x + 4*c) + 10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2
*cos(d*x + c) + sqrt(2)*a^2)*cos(5*d*x + 5*c) + 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x
+ 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5
*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(
2*d*x + 2*c) + 10*(sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2
*c) + sqrt(2)*a^2*sin(d*x + c))*sin(5*d*x + 5*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*
x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(
d*x + c))*sin(3*d*x + 3*c))*cos(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*(sqrt(2)*a^2*sin
(4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c) + (
sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*s
in(d*x + c))*cos(5*d*x + 5*c))*sin(5*d*x + 5*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x
+ 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d
*x + c))*sin(3*d*x + 3*c))*cos(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 20*(sqrt(2)*a^2*cos(
5*d*x + 5*c)^3 + 25*sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(
2*d*x + 2*c)^2 + 25*sqrt(2)*a^2*cos(d*x + c)^2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x
+ 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a^
2*sin(d*x + c)^2 + 10*sqrt(2)*a^2*cos(d*x + c) + (10*sqrt(2)*a^2*cos(4*d*x + 4*c) + 20*sqrt(2)*a^2*cos(3*d*x +
3*c) + 20*sqrt(2)*a^2*cos(2*d*x + 2*c) + 10*sqrt(2)*a^2*cos(d*x + c) + 3*sqrt(2)*a^2)*cos(5*d*x + 5*c)^2 + (s
qrt(2)*a^2*cos(5*d*x + 5*c) + sqrt(2)*a^2)*sin(5*d*x + 5*c)^2 + sqrt(2)*a^2 + (25*sqrt(2)*a^2*cos(4*d*x + 4*c)
^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 25*sqrt(2)*a^2*cos(d*x + c)^2 +
25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 +
100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d*x + c)^2 + 20*sqrt(2)*a^2*cos(d*x + c) +
3*sqrt(2)*a^2 + 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x
+ c) + 2*sqrt(2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + 2
*sqrt(2)*a^2)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + 2*sqrt(2)*a^2)*cos(2*d*x + 2*c) + 50*(2*sqrt
(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x + 4*c) + 100*(
2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*cos(5*d*x + 5*c) + 10*(10*sqrt(2)
*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(4*d*x
+ 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(3*d*x + 3*c) + 20
*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*c) + 5*(sqrt(2)*a^2*cos(5*d*x + 5*c)^2 + 25*sqrt(2)*
a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 25*sqrt(2)*
a^2*cos(d*x + c)^2 + sqrt(2)*a^2*sin(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(
3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(
2)*a^2*sin(d*x + c)^2 + 10*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2 + 2*(5*sqrt(2)*a^2*cos(4*d*x + 4*c) + 10*sqr
t(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(5*
d*x + 5*c) + 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c
) + sqrt(2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)
*a^2)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*c) + 10*(sqrt(2)*a^2*sin(
4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin
(5*d*x + 5*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c)
)*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*cos(2/5
*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*(sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3
*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c) + (sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sq
rt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*cos(5*d*x + 5*c))*sin(
5*d*x + 5*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))
*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*cos(4/5*
arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*(sqrt(2)*a^2*cos(5*d*x + 5*c)^3 + 25*sqrt(2)*a^2*cos
(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 25*sqrt(2)*a^2*cos
(d*x + c)^2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d
*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d*x + c)^2 + 10*sqrt(2)*a^2*c
os(d*x + c) + (10*sqrt(2)*a^2*cos(4*d*x + 4*c) + 20*sqrt(2)*a^2*cos(3*d*x + 3*c) + 20*sqrt(2)*a^2*cos(2*d*x +
2*c) + 10*sqrt(2)*a^2*cos(d*x + c) + 3*sqrt(2)*a^2)*cos(5*d*x + 5*c)^2 + (sqrt(2)*a^2*cos(5*d*x + 5*c) + sqrt(
2)*a^2)*sin(5*d*x + 5*c)^2 + sqrt(2)*a^2 + (25*sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*
c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 25*sqrt(2)*a^2*cos(d*x + c)^2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2
+ 100*sqrt(2)*a^2*sin(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*s
in(d*x + c) + 25*sqrt(2)*a^2*sin(d*x + c)^2 + 20*sqrt(2)*a^2*cos(d*x + c) + 3*sqrt(2)*a^2 + 10*(10*sqrt(2)*a^2
*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + 2*sqrt(2)*a^2)*cos(4*d*x +
4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + 2*sqrt(2)*a^2)*cos(3*d*x + 3*c) + 20
*(5*sqrt(2)*a^2*cos(d*x + c) + 2*sqrt(2)*a^2)*cos(2*d*x + 2*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2
)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sq
rt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*cos(5*d*x + 5*c) + 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*
a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d
*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt
(2)*a^2)*cos(2*d*x + 2*c) + 10*(sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*
sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c) + (sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) +
2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*cos(5*d*x + 5*c))*sin(5*d*x + 5*c) + 50*(2*sqrt(2)
*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x + 4*c) + 100*(2*s
qrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*cos(2/5*arctan2(sin(5/2*d*x + 5/2*c)
, cos(5/2*d*x + 5/2*c))) + 10*(sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*s
in(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c) + (sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) +
2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*cos(5*d*x + 5*c)^2 + 2*(sqrt(2)*a^2*sin(4*d*x + 4*c
) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*cos(5*d*x + 5*
c))*sin(5*d*x + 5*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d
*x + c))*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c) +
10*(sqrt(2)*a^2*sin(5*d*x + 5*c)^3 + 10*(sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sq
rt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(5*d*x + 5*c)^2 + (sqrt(2)*a^2*cos(5*d*x + 5*c)^2 +
25*sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 +
25*sqrt(2)*a^2*cos(d*x + c)^2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c)^2 + 100*s
qrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d*x + c)^2
+ 10*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2 + 2*(5*sqrt(2)*a^2*cos(4*d*x + 4*c) + 10*sqrt(2)*a^2*cos(3*d*x + 3
*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(5*d*x + 5*c) + 10*(10*sq
rt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(4
*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(3*d*x + 3*c)
+ 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqr
t(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) +
sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*sin(5*d*x + 5*c) + 10*(sqrt(2)*a^2*cos(5*d*x + 5*c)^2 + 25*sqrt(2
)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 25*sqrt(2
)*a^2*cos(d*x + c)^2 + sqrt(2)*a^2*sin(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*si
n(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sqr
t(2)*a^2*sin(d*x + c)^2 + 10*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2 + 2*(5*sqrt(2)*a^2*cos(4*d*x + 4*c) + 10*s
qrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(
5*d*x + 5*c) + 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x +
c) + sqrt(2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(
2)*a^2)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*c) + 10*(sqrt(2)*a^2*si
n(4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*s
in(5*d*x + 5*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x +
c))*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*sin(6
/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*(sqrt(2)*a^2*cos(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*
cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 25*sqrt(2)*a^2*
cos(d*x + c)^2 + sqrt(2)*a^2*sin(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*
x + 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a
^2*sin(d*x + c)^2 + 10*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2 + 2*(5*sqrt(2)*a^2*cos(4*d*x + 4*c) + 10*sqrt(2)
*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(5*d*x
+ 5*c) + 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) +
sqrt(2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2
)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*c) + 10*(sqrt(2)*a^2*sin(4*d*
x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(5*d
*x + 5*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*si
n(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*sin(4/5*arc
tan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 5*(sqrt(2)*a^2*cos(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*cos(4*d
*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 25*sqrt(2)*a^2*cos(d*x
+ c)^2 + sqrt(2)*a^2*sin(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c
)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(
d*x + c)^2 + 10*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2 + 2*(5*sqrt(2)*a^2*cos(4*d*x + 4*c) + 10*sqrt(2)*a^2*co
s(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(5*d*x + 5*c)
+ 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)
*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(3
*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*c) + 10*(sqrt(2)*a^2*sin(4*d*x + 4*c
) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(5*d*x + 5*
c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x
+ 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*sin(2/5*arctan2(si
n(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))))*sin(8/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 20*
(sqrt(2)*a^2*sin(5*d*x + 5*c)^3 + 10*(sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2
)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(5*d*x + 5*c)^2 + (sqrt(2)*a^2*cos(5*d*x + 5*c)^2 + 25*s
qrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 25*s
qrt(2)*a^2*cos(d*x + c)^2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c)^2 + 100*sqrt(
2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d*x + c)^2 + 10
*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2 + 2*(5*sqrt(2)*a^2*cos(4*d*x + 4*c) + 10*sqrt(2)*a^2*cos(3*d*x + 3*c)
+ 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(5*d*x + 5*c) + 10*(10*sqrt(2
)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(4*d*x
+ 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(3*d*x + 3*c) + 2
0*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)
*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqr
t(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*sin(5*d*x + 5*c) + 10*(sqrt(2)*a^2*cos(5*d*x + 5*c)^2 + 25*sqrt(2)*a^
2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 25*sqrt(2)*a^
2*cos(d*x + c)^2 + sqrt(2)*a^2*sin(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*
d*x + 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)
*a^2*sin(d*x + c)^2 + 10*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2 + 2*(5*sqrt(2)*a^2*cos(4*d*x + 4*c) + 10*sqrt(
2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(5*d*
x + 5*c) + 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c)
+ sqrt(2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a
^2)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*c) + 10*(sqrt(2)*a^2*sin(4*
d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(5
*d*x + 5*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*
sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*sin(4/5*a
rctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 5*(sqrt(2)*a^2*cos(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*cos(4
*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 25*sqrt(2)*a^2*cos(d
*x + c)^2 + sqrt(2)*a^2*sin(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3
*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a^2*si
n(d*x + c)^2 + 10*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2 + 2*(5*sqrt(2)*a^2*cos(4*d*x + 4*c) + 10*sqrt(2)*a^2*
cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(5*d*x + 5*c
) + 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(
2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos
(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*c) + 10*(sqrt(2)*a^2*sin(4*d*x + 4
*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(5*d*x +
5*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(4*d
*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*sin(2/5*arctan2(
sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))))*sin(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 2
0*(sqrt(2)*a^2*sin(5*d*x + 5*c)^3 + 10*(sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt
(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(5*d*x + 5*c)^2 + (sqrt(2)*a^2*cos(5*d*x + 5*c)^2 + 25
*sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 25
*sqrt(2)*a^2*cos(d*x + c)^2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c)^2 + 100*sqr
t(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d*x + c)^2 +
10*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2 + 2*(5*sqrt(2)*a^2*cos(4*d*x + 4*c) + 10*sqrt(2)*a^2*cos(3*d*x + 3*c
) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(5*d*x + 5*c) + 10*(10*sqrt
(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(4*d
*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(3*d*x + 3*c) +
20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(
2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + s
qrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*sin(5*d*x + 5*c) + 5*(sqrt(2)*a^2*cos(5*d*x + 5*c)^2 + 25*sqrt(2)*a
^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 25*sqrt(2)*a
^2*cos(d*x + c)^2 + sqrt(2)*a^2*sin(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3
*d*x + 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2
)*a^2*sin(d*x + c)^2 + 10*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2 + 2*(5*sqrt(2)*a^2*cos(4*d*x + 4*c) + 10*sqrt
(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(5*d
*x + 5*c) + 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c)
+ sqrt(2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*
a^2)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*c) + 10*(sqrt(2)*a^2*sin(4
*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(
5*d*x + 5*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))
*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*sin(2/5*
arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))))*sin(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*
c))) + 10*(sqrt(2)*a^2*sin(5*d*x + 5*c)^3 + 10*(sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c)
+ 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(5*d*x + 5*c)^2 + (sqrt(2)*a^2*cos(5*d*x + 5*c
)^2 + 25*sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c
)^2 + 25*sqrt(2)*a^2*cos(d*x + c)^2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c)^2 +
100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d*x +
c)^2 + 10*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2 + 2*(5*sqrt(2)*a^2*cos(4*d*x + 4*c) + 10*sqrt(2)*a^2*cos(3*d
*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(5*d*x + 5*c) + 10*
(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)
*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(3*d*x
+ 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) +
2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x +
2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*sin(5*d*x + 5*c))*sin(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos
(5/2*d*x + 5/2*c))))*sqrt(a)) + (44*(sin(4*d*x + 4*c) + 6*sin(2*d*x + 2*c) + 4*sin(3/2*arctan2(sin(2*d*x + 2*c
), cos(2*d*x + 2*c))) + 4*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))) - 16*(19*sin(5/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) - 19*sin(3/4*arctan2(sin(
2*d*x + 2*c), cos(2*d*x + 2*c))) - 11*sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))))*cos(3/2*arctan2(si
n(2*d*x + 2*c), cos(2*d*x + 2*c))) + 76*(sin(4*d*x + 4*c) + 6*sin(2*d*x + 2*c) + 4*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))) - 76*(sin(4*d*x + 4*c) + 6*sin
(2*d*x + 2*c) + 4*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))) - 44*(sin(4*d*x + 4*c) + 6*sin(2*d*x + 2*c))*cos(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)
)) + 16*(sqrt(2)*cos(4*d*x + 4*c)^2 + 36*sqrt(2)*cos(2*d*x + 2*c)^2 + 16*sqrt(2)*cos(3/2*arctan2(sin(2*d*x + 2
*c), cos(2*d*x + 2*c)))^2 + 16*sqrt(2)*cos(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + sqrt(2)*sin(4*
d*x + 4*c)^2 + 12*sqrt(2)*sin(4*d*x + 4*c)*sin(2*d*x + 2*c) + 36*sqrt(2)*sin(2*d*x + 2*c)^2 + 16*sqrt(2)*sin(3
/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 16*sqrt(2)*sin(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2
*c)))^2 + 2*(6*sqrt(2)*cos(2*d*x + 2*c) + sqrt(2))*cos(4*d*x + 4*c) + 8*(sqrt(2)*cos(4*d*x + 4*c) + 6*sqrt(2)*
cos(2*d*x + 2*c) + 4*sqrt(2)*cos(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + sqrt(2))*cos(3/2*arctan2(s
in(2*d*x + 2*c), cos(2*d*x + 2*c))) + 8*(sqrt(2)*cos(4*d*x + 4*c) + 6*sqrt(2)*cos(2*d*x + 2*c) + sqrt(2))*cos(
1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 8*(sqrt(2)*sin(4*d*x + 4*c) + 6*sqrt(2)*sin(2*d*x + 2*c) +
4*sqrt(2)*sin(1/2*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))) + 8*(sqrt(2)*sin(4*d*x + 4*c) + 6*sqrt(2)*sin(2*d*x + 2*c))*sin(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x
+ 2*c))) + 12*sqrt(2)*cos(2*d*x + 2*c) + sqrt(2))*log(2*cos(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)))^2 + 2*sqrt(2)*cos(1/4*arctan2(sin(2*d*x + 2*c), cos
(2*d*x + 2*c))) + 2*sqrt(2)*sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 2) - 16*(sqrt(2)*cos(4*d*x
+ 4*c)^2 + 36*sqrt(2)*cos(2*d*x + 2*c)^2 + 16*sqrt(2)*cos(3/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 +
16*sqrt(2)*cos(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + sqrt(2)*sin(4*d*x + 4*c)^2 + 12*sqrt(2)*s
in(4*d*x + 4*c)*sin(2*d*x + 2*c) + 36*sqrt(2)*sin(2*d*x + 2*c)^2 + 16*sqrt(2)*sin(3/2*arctan2(sin(2*d*x + 2*c)
, cos(2*d*x + 2*c)))^2 + 16*sqrt(2)*sin(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 2*(6*sqrt(2)*cos(
2*d*x + 2*c) + sqrt(2))*cos(4*d*x + 4*c) + 8*(sqrt(2)*cos(4*d*x + 4*c) + 6*sqrt(2)*cos(2*d*x + 2*c) + 4*sqrt(2
)*cos(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + sqrt(2))*cos(3/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x
+ 2*c))) + 8*(sqrt(2)*cos(4*d*x + 4*c) + 6*sqrt(2)*cos(2*d*x + 2*c) + sqrt(2))*cos(1/2*arctan2(sin(2*d*x + 2*c
), cos(2*d*x + 2*c))) + 8*(sqrt(2)*sin(4*d*x + 4*c) + 6*sqrt(2)*sin(2*d*x + 2*c) + 4*sqrt(2)*sin(1/2*arctan2(s
in(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))) + 8*(sqrt(2)*sin(4*d
*x + 4*c) + 6*sqrt(2)*sin(2*d*x + 2*c))*sin(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 12*sqrt(2)*cos(
2*d*x + 2*c) + sqrt(2))*log(2*cos(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)))^2 + 2*sqrt(2)*cos(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) - 2*sqrt(2)
*sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 2) + 16*(sqrt(2)*cos(4*d*x + 4*c)^2 + 36*sqrt(2)*cos(2
*d*x + 2*c)^2 + 16*sqrt(2)*cos(3/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 16*sqrt(2)*cos(1/2*arctan2
(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + sqrt(2)*sin(4*d*x + 4*c)^2 + 12*sqrt(2)*sin(4*d*x + 4*c)*sin(2*d*x +
2*c) + 36*sqrt(2)*sin(2*d*x + 2*c)^2 + 16*sqrt(2)*sin(3/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 16
*sqrt(2)*sin(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 2*(6*sqrt(2)*cos(2*d*x + 2*c) + sqrt(2))*cos
(4*d*x + 4*c) + 8*(sqrt(2)*cos(4*d*x + 4*c) + 6*sqrt(2)*cos(2*d*x + 2*c) + 4*sqrt(2)*cos(1/2*arctan2(sin(2*d*x
+ 2*c), cos(2*d*x + 2*c))) + sqrt(2))*cos(3/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 8*(sqrt(2)*cos(4
*d*x + 4*c) + 6*sqrt(2)*cos(2*d*x + 2*c) + sqrt(2))*cos(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 8*(
sqrt(2)*sin(4*d*x + 4*c) + 6*sqrt(2)*sin(2*d*x + 2*c) + 4*sqrt(2)*sin(1/2*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))) + 8*(sqrt(2)*sin(4*d*x + 4*c) + 6*sqrt(2)*sin(2
*d*x + 2*c))*sin(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 12*sqrt(2)*cos(2*d*x + 2*c) + sqrt(2))*log
(2*cos(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)))^2 - 2*sqrt(2)*cos(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 2*sqrt(2)*sin(1/4*arctan2(sin(2*d*x
+ 2*c), cos(2*d*x + 2*c))) + 2) - 16*(sqrt(2)*cos(4*d*x + 4*c)^2 + 36*sqrt(2)*cos(2*d*x + 2*c)^2 + 16*sqrt(2)*
cos(3/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 16*sqrt(2)*cos(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*
x + 2*c)))^2 + sqrt(2)*sin(4*d*x + 4*c)^2 + 12*sqrt(2)*sin(4*d*x + 4*c)*sin(2*d*x + 2*c) + 36*sqrt(2)*sin(2*d*
x + 2*c)^2 + 16*sqrt(2)*sin(3/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 16*sqrt(2)*sin(1/2*arctan2(si
n(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 2*(6*sqrt(2)*cos(2*d*x + 2*c) + sqrt(2))*cos(4*d*x + 4*c) + 8*(sqrt(2)*
cos(4*d*x + 4*c) + 6*sqrt(2)*cos(2*d*x + 2*c) + 4*sqrt(2)*cos(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))
+ sqrt(2))*cos(3/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 8*(sqrt(2)*cos(4*d*x + 4*c) + 6*sqrt(2)*cos
(2*d*x + 2*c) + sqrt(2))*cos(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 8*(sqrt(2)*sin(4*d*x + 4*c) +
6*sqrt(2)*sin(2*d*x + 2*c) + 4*sqrt(2)*sin(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))))*sin(3/2*arctan2(s
in(2*d*x + 2*c), cos(2*d*x + 2*c))) + 8*(sqrt(2)*sin(4*d*x + 4*c) + 6*sqrt(2)*sin(2*d*x + 2*c))*sin(1/2*arctan
2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 12*sqrt(2)*cos(2*d*x + 2*c) + sqrt(2))*log(2*cos(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)))^2 - 2*sqrt(2)*cos(1/4*
arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) - 2*sqrt(2)*sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))
+ 2) - 43*(2*(6*cos(2*d*x + 2*c) + 1)*cos(4*d*x + 4*c) + cos(4*d*x + 4*c)^2 + 36*cos(2*d*x + 2*c)^2 + 8*(cos(4
*d*x + 4*c) + 6*cos(2*d*x + 2*c) + 4*cos(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 1)*cos(3/2*arctan2
(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 16*cos(3/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 8*(cos(4*d
*x + 4*c) + 6*cos(2*d*x + 2*c) + 1)*cos(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 16*cos(1/2*arctan2(
sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + sin(4*d*x + 4*c)^2 + 12*sin(4*d*x + 4*c)*sin(2*d*x + 2*c) + 36*sin(2*
d*x + 2*c)^2 + 8*(sin(4*d*x + 4*c) + 6*sin(2*d*x + 2*c) + 4*sin(1/2*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))) + 16*sin(3/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*
c)))^2 + 8*(sin(4*d*x + 4*c) + 6*sin(2*d*x + 2*c))*sin(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 16*s
in(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 12*cos(2*d*x + 2*c) + 1)*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) + 43*(2*(6*cos(2*d*x + 2*c) + 1)*cos(4*d*x + 4*c) + cos(4*d*x + 4*c)^2
+ 36*cos(2*d*x + 2*c)^2 + 8*(cos(4*d*x + 4*c) + 6*cos(2*d*x + 2*c) + 4*cos(1/2*arctan2(sin(2*d*x + 2*c), cos(2
*d*x + 2*c))) + 1)*cos(3/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 16*cos(3/2*arctan2(sin(2*d*x + 2*c),
cos(2*d*x + 2*c)))^2 + 8*(cos(4*d*x + 4*c) + 6*cos(2*d*x + 2*c) + 1)*cos(1/2*arctan2(sin(2*d*x + 2*c), cos(2*
d*x + 2*c))) + 16*cos(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + sin(4*d*x + 4*c)^2 + 12*sin(4*d*x +
4*c)*sin(2*d*x + 2*c) + 36*sin(2*d*x + 2*c)^2 + 8*(sin(4*d*x + 4*c) + 6*sin(2*d*x + 2*c) + 4*sin(1/2*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))) + 16*sin(3/2*arctan
2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 8*(sin(4*d*x + 4*c) + 6*sin(2*d*x + 2*c))*sin(1/2*arctan2(sin(2*d*x
+ 2*c), cos(2*d*x + 2*c))) + 16*sin(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 12*cos(2*d*x + 2*c)
+ 1)*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) - 44*(cos(4*d*x + 4*c) + 6*cos(2*d*x
+ 2*c) + 4*cos(3/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 4*cos(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*
x + 2*c))) + 1)*sin(7/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 16*(19*cos(5/4*arctan2(sin(2*d*x + 2*c)
, cos(2*d*x + 2*c))) - 19*cos(3/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) - 11*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))) - 76*(cos(4*d*x + 4*c) + 6*co
s(2*d*x + 2*c) + 4*cos(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 1)*sin(5/4*arctan2(sin(2*d*x + 2*c),
cos(2*d*x + 2*c))) + 76*(cos(4*d*x + 4*c) + 6*cos(2*d*x + 2*c) + 4*cos(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*
x + 2*c))) + 1)*sin(3/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) - 176*cos(1/4*arctan2(sin(2*d*x + 2*c), c
os(2*d*x + 2*c)))*sin(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 44*(cos(4*d*x + 4*c) + 6*cos(2*d*x +
2*c) + 1)*sin(1/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 176*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))))*C/((sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 36*sqrt
(2)*a^2*cos(2*d*x + 2*c)^2 + 16*sqrt(2)*a^2*cos(3/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 16*sqrt(2
)*a^2*cos(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 12*sqrt(2)*a^2
*sin(4*d*x + 4*c)*sin(2*d*x + 2*c) + 36*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 16*sqrt(2)*a^2*sin(3/2*arctan2(sin(2*
d*x + 2*c), cos(2*d*x + 2*c)))^2 + 16*sqrt(2)*a^2*sin(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))^2 + 12*
sqrt(2)*a^2*cos(2*d*x + 2*c) + sqrt(2)*a^2 + 2*(6*sqrt(2)*a^2*cos(2*d*x + 2*c) + sqrt(2)*a^2)*cos(4*d*x + 4*c)
+ 8*(sqrt(2)*a^2*cos(4*d*x + 4*c) + 6*sqrt(2)*a^2*cos(2*d*x + 2*c) + 4*sqrt(2)*a^2*cos(1/2*arctan2(sin(2*d*x
+ 2*c), cos(2*d*x + 2*c))) + sqrt(2)*a^2)*cos(3/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 8*(sqrt(2)*a^
2*cos(4*d*x + 4*c) + 6*sqrt(2)*a^2*cos(2*d*x + 2*c) + sqrt(2)*a^2)*cos(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x
+ 2*c))) + 8*(sqrt(2)*a^2*sin(4*d*x + 4*c) + 6*sqrt(2)*a^2*sin(2*d*x + 2*c) + 4*sqrt(2)*a^2*sin(1/2*arctan2(s
in(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))) + 8*(sqrt(2)*a^2*sin
(4*d*x + 4*c) + 6*sqrt(2)*a^2*sin(2*d*x + 2*c))*sin(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))))*sqrt(a))
)/d

Giac [F]

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

[In]

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

Mupad [F(-1)]

Timed out. \[ \int \frac {\sec ^{\frac {3}{2}}(c+d x) \left (A+B \sec (c+d x)+C \sec ^2(c+d x)\right )}{(a+a \sec (c+d x))^{5/2}} \, dx=\int \frac {{\left (\frac {1}{\cos \left (c+d\,x\right )}\right )}^{3/2}\,\left (A+\frac {B}{\cos \left (c+d\,x\right )}+\frac {C}{{\cos \left (c+d\,x\right )}^2}\right )}{{\left (a+\frac {a}{\cos \left (c+d\,x\right )}\right )}^{5/2}} \,d x \]

[In]

int(((1/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(((1/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)