\(\int \frac {\sec ^{\frac {5}{2}}(c+d x) (A+B \sec (c+d x))}{(a+a \sec (c+d x))^{5/2}} \, dx\) [263]

Optimal result

Integrand size = 35, antiderivative size = 194 \[ \int \frac {\sec ^{\frac {5}{2}}(c+d x) (A+B \sec (c+d x))}{(a+a \sec (c+d x))^{5/2}} \, dx=\frac {2 B \text {arcsinh}\left (\frac {\sqrt {a} \tan (c+d x)}{\sqrt {a+a \sec (c+d x)}}\right )}{a^{5/2} d}+\frac {(3 A-43 B) \text {arctanh}\left (\frac {\sqrt {a} \sqrt {\sec (c+d x)} \sin (c+d x)}{\sqrt {2} \sqrt {a+a \sec (c+d x)}}\right )}{16 \sqrt {2} a^{5/2} d}+\frac {(A-B) \sec ^{\frac {5}{2}}(c+d x) \sin (c+d x)}{4 d (a+a \sec (c+d x))^{5/2}}+\frac {(3 A-11 B) \sec ^{\frac {3}{2}}(c+d x) \sin (c+d x)}{16 a d (a+a \sec (c+d x))^{3/2}} \]

[Out]

2*B*arcsinh(a^(1/2)*tan(d*x+c)/(a+a*sec(d*x+c))^(1/2))/a^(5/2)/d+1/4*(A-B)*sec(d*x+c)^(5/2)*sin(d*x+c)/d/(a+a*
sec(d*x+c))^(5/2)+1/16*(3*A-11*B)*sec(d*x+c)^(3/2)*sin(d*x+c)/a/d/(a+a*sec(d*x+c))^(3/2)+1/32*(3*A-43*B)*arcta
nh(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 = 0.68 (sec) , antiderivative size = 194, normalized size of antiderivative = 1.00, number of steps used = 7, number of rules used = 6, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.171, Rules used = {4104, 4108, 3893, 212, 3886, 221} \[ \int \frac {\sec ^{\frac {5}{2}}(c+d x) (A+B \sec (c+d x))}{(a+a \sec (c+d x))^{5/2}} \, dx=\frac {(3 A-43 B) \text {arctanh}\left (\frac {\sqrt {a} \sin (c+d x) \sqrt {\sec (c+d x)}}{\sqrt {2} \sqrt {a \sec (c+d x)+a}}\right )}{16 \sqrt {2} a^{5/2} d}+\frac {2 B \text {arcsinh}\left (\frac {\sqrt {a} \tan (c+d x)}{\sqrt {a \sec (c+d x)+a}}\right )}{a^{5/2} d}+\frac {(A-B) \sin (c+d x) \sec ^{\frac {5}{2}}(c+d x)}{4 d (a \sec (c+d x)+a)^{5/2}}+\frac {(3 A-11 B) \sin (c+d x) \sec ^{\frac {3}{2}}(c+d x)}{16 a d (a \sec (c+d x)+a)^{3/2}} \]

[In]

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

[Out]

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

Rubi steps \begin{align*} \text {integral}& = \frac {(A-B) \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 {3}{2} a (A-B)+4 a B \sec (c+d x)\right )}{(a+a \sec (c+d x))^{3/2}} \, dx}{4 a^2} \\ & = \frac {(A-B) \sec ^{\frac {5}{2}}(c+d x) \sin (c+d x)}{4 d (a+a \sec (c+d x))^{5/2}}+\frac {(3 A-11 B) \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 (3 A-11 B)+8 a^2 B \sec (c+d x)\right )}{\sqrt {a+a \sec (c+d x)}} \, dx}{8 a^4} \\ & = \frac {(A-B) \sec ^{\frac {5}{2}}(c+d x) \sin (c+d x)}{4 d (a+a \sec (c+d x))^{5/2}}+\frac {(3 A-11 B) \sec ^{\frac {3}{2}}(c+d x) \sin (c+d x)}{16 a d (a+a \sec (c+d x))^{3/2}}+\frac {(3 A-43 B) \int \frac {\sqrt {\sec (c+d x)}}{\sqrt {a+a \sec (c+d x)}} \, dx}{32 a^2}+\frac {B \int \sqrt {\sec (c+d x)} \sqrt {a+a \sec (c+d x)} \, dx}{a^3} \\ & = \frac {(A-B) \sec ^{\frac {5}{2}}(c+d x) \sin (c+d x)}{4 d (a+a \sec (c+d x))^{5/2}}+\frac {(3 A-11 B) \sec ^{\frac {3}{2}}(c+d x) \sin (c+d x)}{16 a d (a+a \sec (c+d x))^{3/2}}-\frac {(3 A-43 B) \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 B) \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 B \text {arcsinh}\left (\frac {\sqrt {a} \tan (c+d x)}{\sqrt {a+a \sec (c+d x)}}\right )}{a^{5/2} d}+\frac {(3 A-43 B) \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) \sec ^{\frac {5}{2}}(c+d x) \sin (c+d x)}{4 d (a+a \sec (c+d x))^{5/2}}+\frac {(3 A-11 B) \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. \(570\) vs. \(2(194)=388\).

Time = 3.94 (sec) , antiderivative size = 570, normalized size of antiderivative = 2.94 \[ \int \frac {\sec ^{\frac {5}{2}}(c+d x) (A+B \sec (c+d x))}{(a+a \sec (c+d x))^{5/2}} \, dx=\frac {16 (3 A-11 B) \arcsin \left (\sqrt {1-\sec (c+d x)}\right ) \cos ^5\left (\frac {1}{2} (c+d x)\right ) \sec ^3(c+d x) \sin \left (\frac {1}{2} (c+d x)\right )+16 (3 A-43 B) \arcsin \left (\sqrt {\sec (c+d x)}\right ) \cos ^5\left (\frac {1}{2} (c+d x)\right ) \sec ^3(c+d x) \sin \left (\frac {1}{2} (c+d x)\right )+6 A \sqrt {1-\sec (c+d x)} \sec ^{\frac {3}{2}}(c+d x) \sin (c+d x)-22 B \sqrt {1-\sec (c+d x)} \sec ^{\frac {3}{2}}(c+d x) \sin (c+d x)+14 A \sqrt {1-\sec (c+d x)} \sec ^{\frac {5}{2}}(c+d x) \sin (c+d x)-30 B \sqrt {1-\sec (c+d x)} \sec ^{\frac {5}{2}}(c+d x) \sin (c+d x)-3 \sqrt {2} A \arctan \left (\frac {\sqrt {2} \sqrt {\sec (c+d x)}}{\sqrt {1-\sec (c+d x)}}\right ) \tan (c+d x)+43 \sqrt {2} B \arctan \left (\frac {\sqrt {2} \sqrt {\sec (c+d x)}}{\sqrt {1-\sec (c+d x)}}\right ) \tan (c+d x)-6 \sqrt {2} A \arctan \left (\frac {\sqrt {2} \sqrt {\sec (c+d x)}}{\sqrt {1-\sec (c+d x)}}\right ) \sec (c+d x) \tan (c+d x)+86 \sqrt {2} B \arctan \left (\frac {\sqrt {2} \sqrt {\sec (c+d x)}}{\sqrt {1-\sec (c+d x)}}\right ) \sec (c+d x) \tan (c+d x)-3 \sqrt {2} A \arctan \left (\frac {\sqrt {2} \sqrt {\sec (c+d x)}}{\sqrt {1-\sec (c+d x)}}\right ) \sec ^2(c+d x) \tan (c+d x)+43 \sqrt {2} B \arctan \left (\frac {\sqrt {2} \sqrt {\sec (c+d x)}}{\sqrt {1-\sec (c+d x)}}\right ) \sec ^2(c+d x) \tan (c+d x)}{32 d \sqrt {1-\sec (c+d x)} (a (1+\sec (c+d x)))^{5/2}} \]

[In]

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

[Out]

(16*(3*A - 11*B)*ArcSin[Sqrt[1 - Sec[c + d*x]]]*Cos[(c + d*x)/2]^5*Sec[c + d*x]^3*Sin[(c + d*x)/2] + 16*(3*A -
43*B)*ArcSin[Sqrt[Sec[c + d*x]]]*Cos[(c + d*x)/2]^5*Sec[c + d*x]^3*Sin[(c + d*x)/2] + 6*A*Sqrt[1 - Sec[c + d*
x]]*Sec[c + d*x]^(3/2)*Sin[c + d*x] - 22*B*Sqrt[1 - Sec[c + d*x]]*Sec[c + d*x]^(3/2)*Sin[c + d*x] + 14*A*Sqrt[
1 - Sec[c + d*x]]*Sec[c + d*x]^(5/2)*Sin[c + d*x] - 30*B*Sqrt[1 - Sec[c + d*x]]*Sec[c + d*x]^(5/2)*Sin[c + d*x
] - 3*Sqrt[2]*A*ArcTan[(Sqrt[2]*Sqrt[Sec[c + d*x]])/Sqrt[1 - Sec[c + d*x]]]*Tan[c + d*x] + 43*Sqrt[2]*B*ArcTan
[(Sqrt[2]*Sqrt[Sec[c + d*x]])/Sqrt[1 - Sec[c + d*x]]]*Tan[c + d*x] - 6*Sqrt[2]*A*ArcTan[(Sqrt[2]*Sqrt[Sec[c +
d*x]])/Sqrt[1 - Sec[c + d*x]]]*Sec[c + d*x]*Tan[c + d*x] + 86*Sqrt[2]*B*ArcTan[(Sqrt[2]*Sqrt[Sec[c + d*x]])/Sq
rt[1 - Sec[c + d*x]]]*Sec[c + d*x]*Tan[c + d*x] - 3*Sqrt[2]*A*ArcTan[(Sqrt[2]*Sqrt[Sec[c + d*x]])/Sqrt[1 - Sec
[c + d*x]]]*Sec[c + d*x]^2*Tan[c + d*x] + 43*Sqrt[2]*B*ArcTan[(Sqrt[2]*Sqrt[Sec[c + d*x]])/Sqrt[1 - Sec[c + d*
x]]]*Sec[c + d*x]^2*Tan[c + d*x])/(32*d*Sqrt[1 - Sec[c + d*x]]*(a*(1 + Sec[c + d*x]))^(5/2))

Maple [B] (warning: unable to verify)

Leaf count of result is larger than twice the leaf count of optimal. \(553\) vs. \(2(163)=326\).

Time = 8.24 (sec) , antiderivative size = 554, normalized size of antiderivative = 2.86

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 {5}{2}} \left (\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1\right )^{3} \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}-5 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 )+16 B \sqrt {2}\, \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 )+16 B \sqrt {2}\, \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 )+13 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 )+3 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 )-43 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 )\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 )^{2} \sqrt {-\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}}\)	\(554\)
parts	\(\frac {A \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 {5}{2}} \left (\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1\right )^{3} \sqrt {-\frac {2 a}{\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}}\, \left (-2 \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}-5 \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 )+3 \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 d \,a^{3} \left (\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}+1\right )^{2} \sqrt {-\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}}-\frac {B \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 {7}{2}} \left (\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1\right )^{4} \sqrt {-\frac {2 a}{\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}}\, \left (2 \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}+16 \sqrt {2}\, \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 )+16 \sqrt {2}\, \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 )+13 \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 )-43 \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 d \,a^{3} \left (\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}+1\right )^{3} \sqrt {-\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}}\)	\(716\)

[In]

int(sec(d*x+c)^(5/2)*(A+B*sec(d*x+c))/(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))^(5/2)*((1-cos(d*x+c))^2*csc(
d*x+c)^2-1)^3*(-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)^3-5*A*(-(
1-cos(d*x+c))^2*csc(d*x+c)^2-1)^(1/2)*(-cot(d*x+c)+csc(d*x+c))+16*B*2^(1/2)*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))+16*B*2^(1/2)*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))+13*B*(-(1-cos(d*x+c))^2*csc(d*x+c)^2-1)^(1/2)*(-cot(d*x+c)+csc(d*x
+c))+3*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)))-43*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))))/((1-cos(d*x+c))^2*csc(d*x+c)^2+1)^2/(-(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. 339 vs. \(2 (163) = 326\).

Time = 0.35 (sec) , antiderivative size = 749, normalized size of antiderivative = 3.86 \[ \int \frac {\sec ^{\frac {5}{2}}(c+d x) (A+B \sec (c+d x))}{(a+a \sec (c+d x))^{5/2}} \, dx=\left [-\frac {\sqrt {2} {\left ({\left (3 \, A - 43 \, B\right )} \cos \left (d x + c\right )^{3} + 3 \, {\left (3 \, A - 43 \, B\right )} \cos \left (d x + c\right )^{2} + 3 \, {\left (3 \, A - 43 \, B\right )} \cos \left (d x + c\right ) + 3 \, A - 43 \, B\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 (B \cos \left (d x + c\right )^{3} + 3 \, B \cos \left (d x + c\right )^{2} + 3 \, B \cos \left (d x + c\right ) + B\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 (3 \, A - 11 \, B\right )} \cos \left (d x + c\right )^{2} + {\left (7 \, A - 15 \, B\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 (3 \, A - 43 \, B\right )} \cos \left (d x + c\right )^{3} + 3 \, {\left (3 \, A - 43 \, B\right )} \cos \left (d x + c\right )^{2} + 3 \, {\left (3 \, A - 43 \, B\right )} \cos \left (d x + c\right ) + 3 \, A - 43 \, B\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 (B \cos \left (d x + c\right )^{3} + 3 \, B \cos \left (d x + c\right )^{2} + 3 \, B \cos \left (d x + c\right ) + B\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 (3 \, A - 11 \, B\right )} \cos \left (d x + c\right )^{2} + {\left (7 \, A - 15 \, B\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)^(5/2)*(A+B*sec(d*x+c))/(a+a*sec(d*x+c))^(5/2),x, algorithm="fricas")

[Out]

[-1/64*(sqrt(2)*((3*A - 43*B)*cos(d*x + c)^3 + 3*(3*A - 43*B)*cos(d*x + c)^2 + 3*(3*A - 43*B)*cos(d*x + c) + 3
*A - 43*B)*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*(B*cos(d*x + c)^
3 + 3*B*cos(d*x + c)^2 + 3*B*cos(d*x + c) + B)*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*((3*A - 11*B)*cos(d*x + c)^2 + (7*A - 15*B)*cos(d*x + c))*sqrt((a*co
s(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)*((3*A - 43*B)*cos(d*x + c)^3 + 3*(3*A - 43*B)*cos(d*x + c)^2 +
3*(3*A - 43*B)*cos(d*x + c) + 3*A - 43*B)*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*(B*cos(d*x + c)^3 + 3*B*cos(d*x + c)^2 + 3*B*cos(d*x + c) + B)
*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*((3*A - 11*B)*cos(d*x + c)^2 + (7*A - 15*B)*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. \[ \int \frac {\sec ^{\frac {5}{2}}(c+d x) (A+B \sec (c+d x))}{(a+a \sec (c+d x))^{5/2}} \, dx=\text {Timed out} \]

[In]

integrate(sec(d*x+c)**(5/2)*(A+B*sec(d*x+c))/(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. 89320 vs. \(2 (163) = 326\).

Time = 15.02 (sec) , antiderivative size = 89320, normalized size of antiderivative = 460.41 \[ \int \frac {\sec ^{\frac {5}{2}}(c+d x) (A+B \sec (c+d x))}{(a+a \sec (c+d x))^{5/2}} \, dx=\text {Too large to display} \]

[In]

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

[Out]

1/32*((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)*s
in(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 + 1
0240*(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*c
os(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)
))^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(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) + c
os(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*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(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*co
s(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)))^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) - 1
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)^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*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)*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*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*(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*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)*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*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)*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))))*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) - 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) - 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))*co
s(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*co
s(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*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) + 1
0*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*(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(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) + 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(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 + 5
0*(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*s
in(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(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))*s
in(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) + 10
0*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*co
s(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(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) - 1
2800*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) - 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), c
os(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*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*(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) - 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))*c
os(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*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))*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) + 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*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(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))*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)*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*(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 + 10
0*(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*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(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*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) - 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) + 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*c
os(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*c
os(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*co
s(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))*si
n(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(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*co
s(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*co
s(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))*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))*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 + 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) + 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)*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) + 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(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) + 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)*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 + 2
0*(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) + 10
0*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) + si
n(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*si
n(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*co
s(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)))^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*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)*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 + 1
0*(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*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*(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)*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)*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*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) + si
n(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)*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 + 1
0*(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*si
n(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*s
in(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) + 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 + 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*c
os(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*c
os(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*co
s(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))*si
n(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) + 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)^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*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*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)*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)*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(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)*s
in(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) + 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(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))))*sin(6/5*arctan
2(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) + 1
0*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)*c
os(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(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) + 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) + s
in(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*co
s(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 + 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)*si
n(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*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)))^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)*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*(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*arct
an2(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*(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)*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) + 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*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(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) + 2
0*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)*c
os(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*(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) + 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(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*si
n(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) + 1
0*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 + 1
00*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*a
rctan2(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*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) + 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 + 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*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*co
s(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) + 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*(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*(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)*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*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)*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) + 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 + 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(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)*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(4/5*arc
tan2(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(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)*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))))*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*s
in(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*si
n(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)*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 + 2
0*(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*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(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 + 10
0*(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)*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 + 2
5*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*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(2/5*arcta
n2(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(9/5*arctan2(si
n(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*co
s(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)*co
s(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*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)*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) + 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(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(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))*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 + 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*si
n(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), c
os(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*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)*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(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*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)*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))*c
os(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) + 1
0*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) - co
s(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(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)*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) - 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)*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(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) + 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)*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*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(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*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) + 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)*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*((1
0*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*c
os(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)*c
os(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)*s
in(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*c
os(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*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*(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*arct
an2(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) + 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*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))*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(1/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x +
5/2*c))))*A/((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*sqr
t(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*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*sqr
t(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 + 10
0*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) + sq
rt(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*sq
rt(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*c
os(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*s
qrt(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*sq
rt(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*s
qrt(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) + s
qrt(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 + 2
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 + 1
00*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*s
in(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*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 + 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*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) + 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*s
qrt(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) + 10
0*(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*si
n(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*s
in(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(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*s
qrt(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(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*c
os(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*s
qrt(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*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))*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*sqr
t(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*sqr
t(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*s
qrt(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*sq
rt(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)*co
s(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)^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) + 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*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(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))*si
n(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*c
os(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*c
os(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) + s
qrt(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*arct
an2(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*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*si
n(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(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*sq
rt(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*s
qrt(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*(1
0*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*si
n(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*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*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(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*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*sqr
t(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*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(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*s
qrt(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)*c
os(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*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))*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))*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) + s
qrt(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)*s
in(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*s
qrt(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) + sq
rt(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*s
in(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) + sqr
t(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 + 1
00*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*sq
rt(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*co
s(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*sqr
t(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*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*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*arctan
2(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*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*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(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*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) + 50*(2*sqrt(2)*a^2*si
n(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) + 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*c
os(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))*s
in(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 + 10
0*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) + s
qrt(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*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*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(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*(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) + 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*sqr
t(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*co
s(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*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*sqr
t(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*(sqr
t(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))) + 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*c
os(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*c
os(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) + 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)*si
n(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*sq
rt(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*c
os(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) + sqr
t(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) + s
qrt(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*sq
rt(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*a
rctan2(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))) - 1
9*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(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(5/4*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) - 76*(si
n(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(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*ar
ctan2(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*a
rctan2(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*sqr
t(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*s
qrt(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), co
s(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(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*co
s(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*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) + 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(s
in(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*arc
tan2(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(si
n(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*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*ar
ctan2(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*(c
os(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(5/4*arc
tan2(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*arcta
n2(sin(2*d*x + 2*c), cos(2*d*x + 2*c)))*sin(1/2*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c))) + 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))))*B/((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(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)*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]

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

[In]

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

[Out]

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

Mupad [F(-1)]

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

[In]

int(((A + B/cos(c + d*x))*(1/cos(c + d*x))^(5/2))/(a + a/cos(c + d*x))^(5/2),x)

[Out]

int(((A + B/cos(c + d*x))*(1/cos(c + d*x))^(5/2))/(a + a/cos(c + d*x))^(5/2), x)