\(\int \frac {\sqrt {\sec (c+d x)} (A+B \sec (c+d x)+C \sec ^2(c+d x))}{(a+a \sec (c+d x))^{5/2}} \, dx\) [621]

Optimal result

Integrand size = 45, antiderivative size = 163 \[ \int \frac {\sqrt {\sec (c+d x)} \left (A+B \sec (c+d x)+C \sec ^2(c+d x)\right )}{(a+a \sec (c+d x))^{5/2}} \, dx=\frac {(19 A+5 B+3 C) \text {arctanh}\left (\frac {\sqrt {a} \sqrt {\sec (c+d x)} \sin (c+d x)}{\sqrt {2} \sqrt {a+a \sec (c+d x)}}\right )}{16 \sqrt {2} a^{5/2} d}-\frac {(A-B+C) \sec ^{\frac {3}{2}}(c+d x) \sin (c+d x)}{4 d (a+a \sec (c+d x))^{5/2}}-\frac {(9 A-B-7 C) \sec ^{\frac {3}{2}}(c+d x) \sin (c+d x)}{16 a d (a+a \sec (c+d x))^{3/2}} \]

[Out]

-1/4*(A-B+C)*sec(d*x+c)^(3/2)*sin(d*x+c)/d/(a+a*sec(d*x+c))^(5/2)-1/16*(9*A-B-7*C)*sec(d*x+c)^(3/2)*sin(d*x+c)
/a/d/(a+a*sec(d*x+c))^(3/2)+1/32*(19*A+5*B+3*C)*arctanh(1/2*sin(d*x+c)*a^(1/2)*sec(d*x+c)^(1/2)*2^(1/2)/(a+a*s
ec(d*x+c))^(1/2))/a^(5/2)/d*2^(1/2)

Rubi [A] (verified)

Time = 0.49 (sec) , antiderivative size = 163, normalized size of antiderivative = 1.00, number of steps used = 4, number of rules used = 4, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.089, Rules used = {4169, 4097, 3893, 212} \[ \int \frac {\sqrt {\sec (c+d x)} \left (A+B \sec (c+d x)+C \sec ^2(c+d x)\right )}{(a+a \sec (c+d x))^{5/2}} \, dx=\frac {(19 A+5 B+3 C) \text {arctanh}\left (\frac {\sqrt {a} \sin (c+d x) \sqrt {\sec (c+d x)}}{\sqrt {2} \sqrt {a \sec (c+d x)+a}}\right )}{16 \sqrt {2} a^{5/2} d}-\frac {(9 A-B-7 C) \sin (c+d x) \sec ^{\frac {3}{2}}(c+d x)}{16 a d (a \sec (c+d x)+a)^{3/2}}-\frac {(A-B+C) \sin (c+d x) \sec ^{\frac {3}{2}}(c+d x)}{4 d (a \sec (c+d x)+a)^{5/2}} \]

[In]

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

[Out]

((19*A + 5*B + 3*C)*ArcTanh[(Sqrt[a]*Sqrt[Sec[c + d*x]]*Sin[c + d*x])/(Sqrt[2]*Sqrt[a + a*Sec[c + d*x]])])/(16
*Sqrt[2]*a^(5/2)*d) - ((A - B + C)*Sec[c + d*x]^(3/2)*Sin[c + d*x])/(4*d*(a + a*Sec[c + d*x])^(5/2)) - ((9*A -
B - 7*C)*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 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 4097

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

Rule 4169

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

Rubi steps \begin{align*} \text {integral}& = -\frac {(A-B+C) \sec ^{\frac {3}{2}}(c+d x) \sin (c+d x)}{4 d (a+a \sec (c+d x))^{5/2}}+\frac {\int \frac {\sqrt {\sec (c+d x)} \left (\frac {1}{2} a (7 A+B-C)-a (A-B-3 C) \sec (c+d x)\right )}{(a+a \sec (c+d x))^{3/2}} \, dx}{4 a^2} \\ & = -\frac {(A-B+C) \sec ^{\frac {3}{2}}(c+d x) \sin (c+d x)}{4 d (a+a \sec (c+d x))^{5/2}}-\frac {(9 A-B-7 C) \sec ^{\frac {3}{2}}(c+d x) \sin (c+d x)}{16 a d (a+a \sec (c+d x))^{3/2}}+\frac {(19 A+5 B+3 C) \int \frac {\sqrt {\sec (c+d x)}}{\sqrt {a+a \sec (c+d x)}} \, dx}{32 a^2} \\ & = -\frac {(A-B+C) \sec ^{\frac {3}{2}}(c+d x) \sin (c+d x)}{4 d (a+a \sec (c+d x))^{5/2}}-\frac {(9 A-B-7 C) \sec ^{\frac {3}{2}}(c+d x) \sin (c+d x)}{16 a d (a+a \sec (c+d x))^{3/2}}-\frac {(19 A+5 B+3 C) \text {Subst}\left (\int \frac {1}{2 a-x^2} \, dx,x,-\frac {a \sqrt {\sec (c+d x)} \sin (c+d x)}{\sqrt {a+a \sec (c+d x)}}\right )}{16 a^2 d} \\ & = \frac {(19 A+5 B+3 C) \text {arctanh}\left (\frac {\sqrt {a} \sqrt {\sec (c+d x)} \sin (c+d x)}{\sqrt {2} \sqrt {a+a \sec (c+d x)}}\right )}{16 \sqrt {2} a^{5/2} d}-\frac {(A-B+C) \sec ^{\frac {3}{2}}(c+d x) \sin (c+d x)}{4 d (a+a \sec (c+d x))^{5/2}}-\frac {(9 A-B-7 C) \sec ^{\frac {3}{2}}(c+d x) \sin (c+d x)}{16 a d (a+a \sec (c+d x))^{3/2}} \\ \end{align*}

Mathematica [B] (verified)

Leaf count is larger than twice the leaf count of optimal. \(785\) vs. \(2(163)=326\).

Time = 6.46 (sec) , antiderivative size = 785, normalized size of antiderivative = 4.82 \[ \int \frac {\sqrt {\sec (c+d x)} \left (A+B \sec (c+d x)+C \sec ^2(c+d x)\right )}{(a+a \sec (c+d x))^{5/2}} \, dx=\frac {16 (5 B+3 C) \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 (5 B+3 C) \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 )-26 A \sqrt {1-\sec (c+d x)} \sec ^{\frac {3}{2}}(c+d x) \sin (c+d x)+10 B \sqrt {1-\sec (c+d x)} \sec ^{\frac {3}{2}}(c+d x) \sin (c+d x)+6 C \sqrt {1-\sec (c+d x)} \sec ^{\frac {3}{2}}(c+d x) \sin (c+d x)-18 A \sqrt {1-\sec (c+d x)} \sec ^{\frac {5}{2}}(c+d x) \sin (c+d x)+2 B \sqrt {1-\sec (c+d x)} \sec ^{\frac {5}{2}}(c+d x) \sin (c+d x)+14 C \sqrt {1-\sec (c+d x)} \sec ^{\frac {5}{2}}(c+d x) \sin (c+d x)-19 \sqrt {2} A \arctan \left (\frac {\sqrt {2} \sqrt {\sec (c+d x)}}{\sqrt {1-\sec (c+d x)}}\right ) \tan (c+d x)-5 \sqrt {2} B \arctan \left (\frac {\sqrt {2} \sqrt {\sec (c+d x)}}{\sqrt {1-\sec (c+d x)}}\right ) \tan (c+d x)-3 \sqrt {2} C \arctan \left (\frac {\sqrt {2} \sqrt {\sec (c+d x)}}{\sqrt {1-\sec (c+d x)}}\right ) \tan (c+d x)-38 \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)-10 \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)-6 \sqrt {2} C \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)-19 \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)-5 \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)-3 \sqrt {2} C \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[(Sqrt[Sec[c + d*x]]*(A + B*Sec[c + d*x] + C*Sec[c + d*x]^2))/(a + a*Sec[c + d*x])^(5/2),x]

[Out]

(16*(5*B + 3*C)*ArcSin[Sqrt[1 - Sec[c + d*x]]]*Cos[(c + d*x)/2]^5*Sec[c + d*x]^3*Sin[(c + d*x)/2] + 16*(5*B +
3*C)*ArcSin[Sqrt[Sec[c + d*x]]]*Cos[(c + d*x)/2]^5*Sec[c + d*x]^3*Sin[(c + d*x)/2] - 26*A*Sqrt[1 - Sec[c + d*x
]]*Sec[c + d*x]^(3/2)*Sin[c + d*x] + 10*B*Sqrt[1 - Sec[c + d*x]]*Sec[c + d*x]^(3/2)*Sin[c + d*x] + 6*C*Sqrt[1
- Sec[c + d*x]]*Sec[c + d*x]^(3/2)*Sin[c + d*x] - 18*A*Sqrt[1 - Sec[c + d*x]]*Sec[c + d*x]^(5/2)*Sin[c + d*x]
+ 2*B*Sqrt[1 - Sec[c + d*x]]*Sec[c + d*x]^(5/2)*Sin[c + d*x] + 14*C*Sqrt[1 - Sec[c + d*x]]*Sec[c + d*x]^(5/2)*
Sin[c + d*x] - 19*Sqrt[2]*A*ArcTan[(Sqrt[2]*Sqrt[Sec[c + d*x]])/Sqrt[1 - Sec[c + d*x]]]*Tan[c + d*x] - 5*Sqrt[
2]*B*ArcTan[(Sqrt[2]*Sqrt[Sec[c + d*x]])/Sqrt[1 - Sec[c + d*x]]]*Tan[c + d*x] - 3*Sqrt[2]*C*ArcTan[(Sqrt[2]*Sq
rt[Sec[c + d*x]])/Sqrt[1 - Sec[c + d*x]]]*Tan[c + d*x] - 38*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] - 10*Sqrt[2]*B*ArcTan[(Sqrt[2]*Sqrt[Sec[c + d*x]])/Sqrt[1 - Sec[
c + d*x]]]*Sec[c + d*x]*Tan[c + d*x] - 6*Sqrt[2]*C*ArcTan[(Sqrt[2]*Sqrt[Sec[c + d*x]])/Sqrt[1 - Sec[c + d*x]]]
*Sec[c + d*x]*Tan[c + d*x] - 19*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] - 5*Sqrt[2]*B*ArcTan[(Sqrt[2]*Sqrt[Sec[c + d*x]])/Sqrt[1 - Sec[c + d*x]]]*Sec[c + d*x]^2*T
an[c + d*x] - 3*Sqrt[2]*C*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. \(557\) vs. \(2(138)=276\).

Time = 1.54 (sec) , antiderivative size = 558, normalized size of antiderivative = 3.42

method	result	size
default	\(\frac {\sqrt {-\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}}\, \left (\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1\right ) \sqrt {-\frac {2 a}{\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}}\, \left (-2 A \sqrt {-\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}\, \left (1-\cos \left (d x +c \right )\right )^{3} \csc \left (d x +c \right )^{3}+2 B \sqrt {-\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}\, \left (1-\cos \left (d x +c \right )\right )^{3} \csc \left (d x +c \right )^{3}-2 C \sqrt {-\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}\, \left (1-\cos \left (d x +c \right )\right )^{3} \csc \left (d x +c \right )^{3}+11 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 )-3 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 )-5 C \sqrt {-\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}\, \left (-\cot \left (d x +c \right )+\csc \left (d x +c \right )\right )+19 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 )+5 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 )+3 C \arctan \left (\frac {-\cot \left (d x +c \right )+\csc \left (d x +c \right )}{\sqrt {-\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}}\right )\right )}{32 a^{3} d \sqrt {-\left (1-\cos \left (d x +c \right )\right )^{2} \csc \left (d x +c \right )^{2}-1}}\)	\(558\)
parts	\(\text {Expression too large to display}\)	\(887\)

[In]

int(sec(d*x+c)^(1/2)*(A+B*sec(d*x+c)+C*sec(d*x+c)^2)/(a+a*sec(d*x+c))^(5/2),x,method=_RETURNVERBOSE)

[Out]

1/32/a^3/d*(-((1-cos(d*x+c))^2*csc(d*x+c)^2+1)/((1-cos(d*x+c))^2*csc(d*x+c)^2-1))^(1/2)*((1-cos(d*x+c))^2*csc(
d*x+c)^2-1)*(-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-c
os(d*x+c))^3*csc(d*x+c)^3+2*B*(-(1-cos(d*x+c))^2*csc(d*x+c)^2-1)^(1/2)*(1-cos(d*x+c))^3*csc(d*x+c)^3-2*C*(-(1-
cos(d*x+c))^2*csc(d*x+c)^2-1)^(1/2)*(1-cos(d*x+c))^3*csc(d*x+c)^3+11*A*(-(1-cos(d*x+c))^2*csc(d*x+c)^2-1)^(1/2
)*(-cot(d*x+c)+csc(d*x+c))-3*B*(-(1-cos(d*x+c))^2*csc(d*x+c)^2-1)^(1/2)*(-cot(d*x+c)+csc(d*x+c))-5*C*(-(1-cos(
d*x+c))^2*csc(d*x+c)^2-1)^(1/2)*(-cot(d*x+c)+csc(d*x+c))+19*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)))+5*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)))+3*
C*arctan(1/(-(1-cos(d*x+c))^2*csc(d*x+c)^2-1)^(1/2)*(-cot(d*x+c)+csc(d*x+c))))/(-(1-cos(d*x+c))^2*csc(d*x+c)^2
-1)^(1/2)

Fricas [A] (verification not implemented)

none

Time = 0.27 (sec) , antiderivative size = 538, normalized size of antiderivative = 3.30 \[ \int \frac {\sqrt {\sec (c+d x)} \left (A+B \sec (c+d x)+C \sec ^2(c+d x)\right )}{(a+a \sec (c+d x))^{5/2}} \, dx=\left [\frac {\sqrt {2} {\left ({\left (19 \, A + 5 \, B + 3 \, C\right )} \cos \left (d x + c\right )^{3} + 3 \, {\left (19 \, A + 5 \, B + 3 \, C\right )} \cos \left (d x + c\right )^{2} + 3 \, {\left (19 \, A + 5 \, B + 3 \, C\right )} \cos \left (d x + c\right ) + 19 \, A + 5 \, B + 3 \, C\right )} \sqrt {a} \log \left (-\frac {a \cos \left (d x + c\right )^{2} - 2 \, \sqrt {2} \sqrt {a} \sqrt {\frac {a \cos \left (d x + c\right ) + a}{\cos \left (d x + c\right )}} \sqrt {\cos \left (d x + c\right )} \sin \left (d x + c\right ) - 2 \, a \cos \left (d x + c\right ) - 3 \, a}{\cos \left (d x + c\right )^{2} + 2 \, \cos \left (d x + c\right ) + 1}\right ) - \frac {4 \, {\left ({\left (13 \, A - 5 \, B - 3 \, C\right )} \cos \left (d x + c\right )^{2} + {\left (9 \, A - B - 7 \, C\right )} \cos \left (d x + c\right )\right )} \sqrt {\frac {a \cos \left (d x + c\right ) + a}{\cos \left (d x + c\right )}} \sin \left (d x + c\right )}{\sqrt {\cos \left (d x + c\right )}}}{64 \, {\left (a^{3} d \cos \left (d x + c\right )^{3} + 3 \, a^{3} d \cos \left (d x + c\right )^{2} + 3 \, a^{3} d \cos \left (d x + c\right ) + a^{3} d\right )}}, -\frac {\sqrt {2} {\left ({\left (19 \, A + 5 \, B + 3 \, C\right )} \cos \left (d x + c\right )^{3} + 3 \, {\left (19 \, A + 5 \, B + 3 \, C\right )} \cos \left (d x + c\right )^{2} + 3 \, {\left (19 \, A + 5 \, B + 3 \, C\right )} \cos \left (d x + c\right ) + 19 \, A + 5 \, B + 3 \, C\right )} \sqrt {-a} \arctan \left (\frac {\sqrt {2} \sqrt {-a} \sqrt {\frac {a \cos \left (d x + c\right ) + a}{\cos \left (d x + c\right )}} \sqrt {\cos \left (d x + c\right )}}{a \sin \left (d x + c\right )}\right ) + \frac {2 \, {\left ({\left (13 \, A - 5 \, B - 3 \, C\right )} \cos \left (d x + c\right )^{2} + {\left (9 \, A - B - 7 \, C\right )} \cos \left (d x + c\right )\right )} \sqrt {\frac {a \cos \left (d x + c\right ) + a}{\cos \left (d x + c\right )}} \sin \left (d x + c\right )}{\sqrt {\cos \left (d x + c\right )}}}{32 \, {\left (a^{3} d \cos \left (d x + c\right )^{3} + 3 \, a^{3} d \cos \left (d x + c\right )^{2} + 3 \, a^{3} d \cos \left (d x + c\right ) + a^{3} d\right )}}\right ] \]

[In]

integrate(sec(d*x+c)^(1/2)*(A+B*sec(d*x+c)+C*sec(d*x+c)^2)/(a+a*sec(d*x+c))^(5/2),x, algorithm="fricas")

[Out]

[1/64*(sqrt(2)*((19*A + 5*B + 3*C)*cos(d*x + c)^3 + 3*(19*A + 5*B + 3*C)*cos(d*x + c)^2 + 3*(19*A + 5*B + 3*C)
*cos(d*x + c) + 19*A + 5*B + 3*C)*sqrt(a)*log(-(a*cos(d*x + c)^2 - 2*sqrt(2)*sqrt(a)*sqrt((a*cos(d*x + c) + a)
/cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c) - 2*a*cos(d*x + c) - 3*a)/(cos(d*x + c)^2 + 2*cos(d*x + c) + 1)
) - 4*((13*A - 5*B - 3*C)*cos(d*x + c)^2 + (9*A - B - 7*C)*cos(d*x + c))*sqrt((a*cos(d*x + c) + a)/cos(d*x + c
))*sin(d*x + c)/sqrt(cos(d*x + c)))/(a^3*d*cos(d*x + c)^3 + 3*a^3*d*cos(d*x + c)^2 + 3*a^3*d*cos(d*x + c) + a^
3*d), -1/32*(sqrt(2)*((19*A + 5*B + 3*C)*cos(d*x + c)^3 + 3*(19*A + 5*B + 3*C)*cos(d*x + c)^2 + 3*(19*A + 5*B
+ 3*C)*cos(d*x + c) + 19*A + 5*B + 3*C)*sqrt(-a)*arctan(sqrt(2)*sqrt(-a)*sqrt((a*cos(d*x + c) + a)/cos(d*x + c
))*sqrt(cos(d*x + c))/(a*sin(d*x + c))) + 2*((13*A - 5*B - 3*C)*cos(d*x + c)^2 + (9*A - B - 7*C)*cos(d*x + c))
*sqrt((a*cos(d*x + c) + a)/cos(d*x + c))*sin(d*x + c)/sqrt(cos(d*x + c)))/(a^3*d*cos(d*x + c)^3 + 3*a^3*d*cos(
d*x + c)^2 + 3*a^3*d*cos(d*x + c) + a^3*d)]

Sympy [F(-1)]

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

[In]

integrate(sec(d*x+c)**(1/2)*(A+B*sec(d*x+c)+C*sec(d*x+c)**2)/(a+a*sec(d*x+c))**(5/2),x)

[Out]

Timed out

Maxima [B] (verification not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 90253 vs. \(2 (138) = 276\).

Time = 15.13 (sec) , antiderivative size = 90253, normalized size of antiderivative = 553.70 \[ \int \frac {\sqrt {\sec (c+d x)} \left (A+B \sec (c+d x)+C \sec ^2(c+d x)\right )}{(a+a \sec (c+d x))^{5/2}} \, dx=\text {Too large to display} \]

[In]

integrate(sec(d*x+c)^(1/2)*(A+B*sec(d*x+c)+C*sec(d*x+c)^2)/(a+a*sec(d*x+c))^(5/2),x, algorithm="maxima")

[Out]

1/32*((19*(log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - log(cos(1/2*d*x
+ 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*cos(4*d*x + 4*c)^2 + 304*(log(cos(1/2*d*x
+ 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x +
1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*cos(3*d*x + 3*c)^2 + 684*(log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x +
1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x +
1/2*c) + 1))*cos(2*d*x + 2*c)^2 + 304*(log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x +
1/2*c) + 1) - log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*cos(d*x + c)^
2 + 19*(log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - log(cos(1/2*d*x +
1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*sin(4*d*x + 4*c)^2 + 304*(log(cos(1/2*d*x + 1
/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/
2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*sin(3*d*x + 3*c)^2 + 684*(log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2
*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/
2*c) + 1))*sin(2*d*x + 2*c)^2 + 304*(log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2
*c) + 1) - log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*sin(d*x + c)^2 +
2*(76*(log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - log(cos(1/2*d*x +
1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*cos(3*d*x + 3*c) + 114*(log(cos(1/2*d*x + 1/2
*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*
c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*cos(2*d*x + 2*c) + 76*(log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2
+ 2*sin(1/2*d*x + 1/2*c) + 1) - log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c)
+ 1))*cos(d*x + c) + 19*log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - 19
*log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1) - 26*sin(7/2*d*x + 7/2*c) -
10*sin(5/2*d*x + 5/2*c) + 10*sin(3/2*d*x + 3/2*c) + 26*sin(1/2*d*x + 1/2*c))*cos(4*d*x + 4*c) + 104*(2*sin(3*
d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*cos(7/2*d*x + 7/2*c) + 8*(114*(log(cos(1/2*d*x + 1/2*c)^2 +
sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2
*sin(1/2*d*x + 1/2*c) + 1))*cos(2*d*x + 2*c) + 76*(log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin
(1/2*d*x + 1/2*c) + 1) - log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*co
s(d*x + c) + 19*log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - 19*log(cos
(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1) - 10*sin(5/2*d*x + 5/2*c) + 10*sin(
3/2*d*x + 3/2*c) + 26*sin(1/2*d*x + 1/2*c))*cos(3*d*x + 3*c) + 40*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*cos(5/
2*d*x + 5/2*c) + 12*(76*(log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - l
og(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*cos(d*x + c) + 19*log(cos(1/
2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - 19*log(cos(1/2*d*x + 1/2*c)^2 + sin(
1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1) + 10*sin(3/2*d*x + 3/2*c) + 26*sin(1/2*d*x + 1/2*c))*cos(2*d*
x + 2*c) + 8*(19*log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - 19*log(co
s(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1) + 26*sin(1/2*d*x + 1/2*c))*cos(d*x
+ c) + 4*(38*(log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - log(cos(1/2
*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*sin(3*d*x + 3*c) + 57*(log(cos(1/2*d*x
+ 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x
+ 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*sin(2*d*x + 2*c) + 38*(log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/
2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1
/2*c) + 1))*sin(d*x + c) + 13*cos(7/2*d*x + 7/2*c) + 5*cos(5/2*d*x + 5/2*c) - 5*cos(3/2*d*x + 3/2*c) - 13*cos(
1/2*d*x + 1/2*c))*sin(4*d*x + 4*c) - 52*(4*cos(3*d*x + 3*c) + 6*cos(2*d*x + 2*c) + 4*cos(d*x + c) + 1)*sin(7/2
*d*x + 7/2*c) + 16*(57*(log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - lo
g(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*sin(2*d*x + 2*c) + 38*(log(co
s(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - log(cos(1/2*d*x + 1/2*c)^2 + sin
(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*sin(d*x + c) + 5*cos(5/2*d*x + 5/2*c) - 5*cos(3/2*d*x + 3/2
*c) - 13*cos(1/2*d*x + 1/2*c))*sin(3*d*x + 3*c) - 20*(6*cos(2*d*x + 2*c) + 4*cos(d*x + c) + 1)*sin(5/2*d*x + 5
/2*c) + 24*(38*(log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - log(cos(1/
2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*sin(d*x + c) - 5*cos(3/2*d*x + 3/2*c)
- 13*cos(1/2*d*x + 1/2*c))*sin(2*d*x + 2*c) + 20*(4*cos(d*x + c) + 1)*sin(3/2*d*x + 3/2*c) - 80*cos(3/2*d*x +
3/2*c)*sin(d*x + c) - 208*cos(1/2*d*x + 1/2*c)*sin(d*x + c) + 19*log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1
/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - 19*log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x
+ 1/2*c) + 1) + 52*sin(1/2*d*x + 1/2*c))*A/((sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 16*sqrt(2)*a^2*cos(3*d*x + 3*c)
^2 + 36*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 16*sqrt(2)*a^2*cos(d*x + c)^2 + sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 16*s
qrt(2)*a^2*sin(3*d*x + 3*c)^2 + 36*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 48*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x +
c) + 16*sqrt(2)*a^2*sin(d*x + c)^2 + 8*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2 + 2*(4*sqrt(2)*a^2*cos(3*d*x + 3
*c) + 6*sqrt(2)*a^2*cos(2*d*x + 2*c) + 4*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(4*d*x + 4*c) + 8*(6*sqrt(
2)*a^2*cos(2*d*x + 2*c) + 4*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(3*d*x + 3*c) + 12*(4*sqrt(2)*a^2*cos(d
*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*c) + 4*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*sin(2*d*x + 2*c) +
2*sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x + 4*c) + 16*(3*sqrt(2)*a^2*sin(2*d*x + 2*c) + 2*sqrt(2)*a^2*sin(d*x + c
))*sin(3*d*x + 3*c))*sqrt(a)) + (4*(3*sin(3/2*d*x + 3/2*c) + 5*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d
*x + 3/2*c))) - 3*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 5*sin(1/3*arctan2(sin(3/2*d*x
+ 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(8/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 40*(2*sin(3*
d*x + 3*c) + 3*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 2*sin(2/3*arctan2(sin(3/2*d*x +
3/2*c), cos(3/2*d*x + 3/2*c))))*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 24*(2*sin(3*d*x
+ 3*c) + 3*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 2*sin(2/3*arctan2(sin(3/2*d*x + 3/2
*c), cos(3/2*d*x + 3/2*c))))*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 24*(3*sin(3/2*d*x
+ 3/2*c) - 5*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c
), cos(3/2*d*x + 3/2*c))) + 16*(3*sin(3/2*d*x + 3/2*c) - 5*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x +
3/2*c))))*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 5*(16*cos(3*d*x + 3*c)^2 + 2*(4*cos(
3*d*x + 3*c) + 6*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*cos(2/3*arctan2(sin(3/2*d*x
+ 3/2*c), cos(3/2*d*x + 3/2*c))) + 1)*cos(8/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + cos(8/3*a
rctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 12*(4*cos(3*d*x + 3*c) + 4*cos(2/3*arctan2(sin(3/2*d*x
+ 3/2*c), cos(3/2*d*x + 3/2*c))) + 1)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 36*cos(4
/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 8*(4*cos(3*d*x + 3*c) + 1)*cos(2/3*arctan2(sin(3/2
*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 16*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16
*sin(3*d*x + 3*c)^2 + 4*(2*sin(3*d*x + 3*c) + 3*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) +
2*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(8/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2
*d*x + 3/2*c))) + sin(8/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 48*(sin(3*d*x + 3*c) + sin(
2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x +
3/2*c))) + 36*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 32*sin(3*d*x + 3*c)*sin(2/3*arc
tan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 16*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2
*c)))^2 + 8*cos(3*d*x + 3*c) + 1)*log(cos(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + sin(1/3
*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 2*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
+ 3/2*c))) + 1) - 5*(16*cos(3*d*x + 3*c)^2 + 2*(4*cos(3*d*x + 3*c) + 6*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), c
os(3/2*d*x + 3/2*c))) + 4*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 1)*cos(8/3*arctan2(si
n(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + cos(8/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 +
12*(4*cos(3*d*x + 3*c) + 4*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 1)*cos(4/3*arctan2(s
in(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 36*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^
2 + 8*(4*cos(3*d*x + 3*c) + 1)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 16*cos(2/3*arcta
n2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*sin(3*d*x + 3*c)^2 + 4*(2*sin(3*d*x + 3*c) + 3*sin(4/3*
arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 2*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3
/2*c))))*sin(8/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + sin(8/3*arctan2(sin(3/2*d*x + 3/2*c),
cos(3/2*d*x + 3/2*c)))^2 + 48*(sin(3*d*x + 3*c) + sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))
)*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 36*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(
3/2*d*x + 3/2*c)))^2 + 32*sin(3*d*x + 3*c)*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 16*s
in(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 8*cos(3*d*x + 3*c) + 1)*log(cos(1/3*arctan2(si
n(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2
- 2*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 1) - 48*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*
c) + 80*cos(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))*sin(3*d*x + 3*c) + 48*cos(3*d*x + 3*c)*si
n(3/2*d*x + 3/2*c) - 4*(3*cos(3/2*d*x + 3/2*c) + 5*cos(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))
) - 3*cos(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 5*cos(1/3*arctan2(sin(3/2*d*x + 3/2*c), c
os(3/2*d*x + 3/2*c))))*sin(8/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 20*(4*cos(3*d*x + 3*c) +
6*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(
3/2*d*x + 3/2*c))) + 1)*sin(7/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 12*(4*cos(3*d*x + 3*c)
+ 6*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos
(3/2*d*x + 3/2*c))) + 1)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 24*(3*cos(3/2*d*x + 3/
2*c) - 5*cos(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), c
os(3/2*d*x + 3/2*c))) - 16*(3*cos(3/2*d*x + 3/2*c) - 5*cos(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2
*c))))*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 20*(4*cos(3*d*x + 3*c) + 1)*sin(1/3*arct
an2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 12*sin(3/2*d*x + 3/2*c))*B/((16*sqrt(2)*a^2*cos(3*d*x + 3*c
)^2 + sqrt(2)*a^2*cos(8/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 36*sqrt(2)*a^2*cos(4/3*arct
an2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 16*sqrt(2)*a^2*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(
3/2*d*x + 3/2*c)))^2 + 16*sqrt(2)*a^2*sin(3*d*x + 3*c)^2 + sqrt(2)*a^2*sin(8/3*arctan2(sin(3/2*d*x + 3/2*c), c
os(3/2*d*x + 3/2*c)))^2 + 36*sqrt(2)*a^2*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 32*s
qrt(2)*a^2*sin(3*d*x + 3*c)*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 16*sqrt(2)*a^2*sin(
2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 8*sqrt(2)*a^2*cos(3*d*x + 3*c) + sqrt(2)*a^2 + 2*
(4*sqrt(2)*a^2*cos(3*d*x + 3*c) + 6*sqrt(2)*a^2*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) +
4*sqrt(2)*a^2*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + sqrt(2)*a^2)*cos(8/3*arctan2(sin
(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 12*(4*sqrt(2)*a^2*cos(3*d*x + 3*c) + 4*sqrt(2)*a^2*cos(2/3*arctan2
(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + sqrt(2)*a^2)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
+ 3/2*c))) + 8*(4*sqrt(2)*a^2*cos(3*d*x + 3*c) + sqrt(2)*a^2)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d
*x + 3/2*c))) + 4*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 3*sqrt(2)*a^2*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/
2*d*x + 3/2*c))) + 2*sqrt(2)*a^2*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(8/3*arctan2
(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 48*(sqrt(2)*a^2*sin(3*d*x + 3*c) + sqrt(2)*a^2*sin(2/3*arctan2
(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*s
qrt(a)) + (512*((2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) + cos(5/2*d*x + 5/2*c)*sin(4*d*x + 4*
c) + 2*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c) + (2*cos(2*d*x + 2*c) + cos(d*x + c))*sin(5/2*d*x + 5/2*c) + cos(
4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) + 2*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*cos(5*d*x + 5*c)^2 + 2560*(5*(2*s
in(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) + cos(5/2*d*x + 5/2*c)*sin(5*d*x + 5*c) + 5*cos(5/2*d*x +
5/2*c)*sin(4*d*x + 4*c) + 10*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c) - (10*cos(2*d*x + 2*c) + 5*cos(d*x + c) +
1)*sin(5/2*d*x + 5/2*c) - cos(5*d*x + 5*c)*sin(5/2*d*x + 5/2*c) - 5*cos(4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) - 10
*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*cos(8/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 10240
*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) + cos(5/2*d*x + 5/2*c)*sin(5*d*x + 5*c) + 5*cos(5
/2*d*x + 5/2*c)*sin(4*d*x + 4*c) + 10*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c) - (10*cos(2*d*x + 2*c) + 5*cos(d*x
+ c) + 1)*sin(5/2*d*x + 5/2*c) - cos(5*d*x + 5*c)*sin(5/2*d*x + 5/2*c) - 5*cos(4*d*x + 4*c)*sin(5/2*d*x + 5/2
*c) - 10*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*cos(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2
+ 10240*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) + cos(5/2*d*x + 5/2*c)*sin(5*d*x + 5*c) +
5*cos(5/2*d*x + 5/2*c)*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)*si
n(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)
+ cos(4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) + 2*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*sin(5*d*x + 5*c)^2 + 2560*
cos(4*d*x + 4*c)^2*sin(5/2*d*x + 5/2*c) + 1024*(20*cos(2*d*x + 2*c) + 10*cos(d*x + c) + 1)*cos(3*d*x + 3*c)*si
n(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)*s
in(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) + 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(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*s
in(5/2*d*x + 5/2*c) + 2*((10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*sin(5/2*d*x + 5/2*c) + 10*cos(3*d*x + 3*c)
*sin(5/2*d*x + 5/2*c))*cos(4*d*x + 4*c) + 2*(2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) + 2*(5*(2
*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5/2*d*x + 5/2*c) + 10*sin(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c) + cos(5/2*d*
x + 5/2*c))*sin(4*d*x + 4*c) + 4*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5/2*d*x + 5/2*c) + cos(5/2*d*x + 5
/2*c))*sin(3*d*x + 3*c) + (4*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 20*cos(2*d*x + 2*c)^2 + 5*cos(d*x + c)^2
+ 20*sin(2*d*x + 2*c)^2 + 20*sin(2*d*x + 2*c)*sin(d*x + c) + 5*sin(d*x + c)^2 + 2*cos(d*x + c))*sin(5/2*d*x +
5/2*c))*cos(5*d*x + 5*c) + 512*((20*cos(2*d*x + 2*c) + 10*cos(d*x + c) + 1)*sin(5/2*d*x + 5/2*c) + 20*cos(3*d*
x + 3*c)*sin(5/2*d*x + 5/2*c))*cos(4*d*x + 4*c) + 512*(2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c)
- 12*(10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c)^2 + sin
(5*d*x + 5*c)^3 + (2*(5*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*(1
0*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(
10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*
cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*
sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x
+ 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(
3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*
x + c)^2 + 10*cos(d*x + c) + 1)*sin(8/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*(2*(5*cos(4*
d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*
c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4
*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*
x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x
+ 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) +
2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*
x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c)
+ 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*
(2*(5*cos(4*d*x + 4*c) + 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(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*si
n(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*
d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(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*si
n(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)
)*cos(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) - 2560*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*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))*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) + 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))*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))*s
in(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*co
s(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x
+ 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x
+ 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*co
s(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 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) + 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)*sin(7/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) +
70*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c)
+ cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) +
25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^
2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*
c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin
(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x
+ 2*c) + sin(d*x + c))*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*(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(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*co
s(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x
+ 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x
+ 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*co
s(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin
(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c
))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25
*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(5*d*x + 5*c) + 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*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(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) + 1
0*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*
cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10
*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*co
s(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*si
n(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x +
2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*
d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x
+ c)^2 + 10*cos(d*x + c) + 1)*sin(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))))*cos(7/5*arctan2(si
n(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) - 8*(128*cos(5*d*x + 5*c)^2*sin(5/2*d*x + 5/2*c) - 3200*cos(4*d*x +
4*c)^2*sin(5/2*d*x + 5/2*c) - 12800*(2*cos(2*d*x + 2*c) + cos(d*x + c))*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c)
- 12800*cos(3*d*x + 3*c)^2*sin(5/2*d*x + 5/2*c) - 128*sin(5*d*x + 5*c)^2*sin(5/2*d*x + 5/2*c) - 3200*sin(4*d*
x + 4*c)^2*sin(5/2*d*x + 5/2*c) - 12800*sin(3*d*x + 3*c)^2*sin(5/2*d*x + 5/2*c) - 256*(5*(2*sin(2*d*x + 2*c) +
sin(d*x + c))*cos(5/2*d*x + 5/2*c) + 5*cos(5/2*d*x + 5/2*c)*sin(4*d*x + 4*c) + 10*cos(5/2*d*x + 5/2*c)*sin(3*
d*x + 3*c) - sin(5/2*d*x + 5/2*c))*cos(5*d*x + 5*c) - 6400*((2*cos(2*d*x + 2*c) + cos(d*x + c))*sin(5/2*d*x +
5/2*c) + 2*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*cos(4*d*x + 4*c) - 1280*(2*sin(2*d*x + 2*c) + sin(d*x + c))*
cos(5/2*d*x + 5/2*c) - 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*c
os(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*sin(5/2*d*x + 5/2*c) - cos(5*d*x + 5*c)*sin(5/2*d*x + 5/2*c) - 5*cos(4*d
*x + 4*c)*sin(5/2*d*x + 5/2*c) - 10*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*cos(4/5*arctan2(sin(5/2*d*x + 5/2*c
), cos(5/2*d*x + 5/2*c))) - 1280*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) + cos(5/2*d*x + 5
/2*c)*sin(5*d*x + 5*c) + 5*cos(5/2*d*x + 5/2*c)*sin(4*d*x + 4*c) + 10*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c) -
(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*sin(5/2*d*x + 5/2*c) - cos(5*d*x + 5*c)*sin(5/2*d*x + 5/2*c) - 5*co
s(4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) - 10*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*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*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(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*s
in(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*c
os(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)*si
n(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)*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(3/5*arc
tan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 15*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2
*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d
*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x
+ c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*
x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c)
)*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*
x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x +
3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)
*sin(1/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))))*cos(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d
*x + 5/2*c))) + 56*(10*(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))))*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) - 3
200*cos(4*d*x + 4*c)^2*sin(5/2*d*x + 5/2*c) - 12800*(2*cos(2*d*x + 2*c) + cos(d*x + c))*cos(3*d*x + 3*c)*sin(5
/2*d*x + 5/2*c) - 12800*cos(3*d*x + 3*c)^2*sin(5/2*d*x + 5/2*c) - 128*sin(5*d*x + 5*c)^2*sin(5/2*d*x + 5/2*c)
- 3200*sin(4*d*x + 4*c)^2*sin(5/2*d*x + 5/2*c) - 12800*sin(3*d*x + 3*c)^2*sin(5/2*d*x + 5/2*c) - 256*(5*(2*sin
(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) + 5*cos(5/2*d*x + 5/2*c)*sin(4*d*x + 4*c) + 10*cos(5/2*d*x
+ 5/2*c)*sin(3*d*x + 3*c) - sin(5/2*d*x + 5/2*c))*cos(5*d*x + 5*c) - 6400*((2*cos(2*d*x + 2*c) + cos(d*x + c))
*sin(5/2*d*x + 5/2*c) + 2*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*cos(4*d*x + 4*c) - 1280*(2*sin(2*d*x + 2*c) +
sin(d*x + c))*cos(5/2*d*x + 5/2*c) - 256*(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*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(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))*s
in(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 + 2
5*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))*cos(
1/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 3*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10
*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 2)*cos(5*d*x + 5*c)^3 + cos(5*d*x + 5*c)^4 + 10*(sin(4*d*x + 4*c) + 2*sin
(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c)^3 + sin(5*d*x + 5*c)^4 + (10*(10*cos(3*d*x
+ 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 3)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*
x + 2*c) + 5*cos(d*x + c) + 3)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 3)*cos(2*d*x +
2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c
))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*s
in(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 30*cos(d*
x + c) + 6)*cos(5*d*x + 5*c)^2 + 25*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos
(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d
*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*
x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos
(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c)
+ sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4
*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*
d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(8/5*arctan2(si
n(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))*si
n(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x +
4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)
^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos
(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) + 1
00*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + s
in(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c
))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*s
in(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*
x + c) + 1)*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*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)*cos(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + (2*(5*cos(4*d*x + 4
*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 2)*cos(5*d*x + 5*c) + 2*cos(5*d*x + 5*c)^2
+ 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2
+ 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c
) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x +
2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*
d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x
+ c)^2 + 10*cos(d*x + c) + 2)*sin(5*d*x + 5*c)^2 + 25*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*
d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*
x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x
+ c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x
+ 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))
*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x
+ 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3
*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*
sin(8/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 100*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3
*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c
) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*
c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c)
+ 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c)
+ sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x
+ c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 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(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) + 1
0*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*
cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10
*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*co
s(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*si
n(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x +
2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*
d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x
+ c)^2 + 10*cos(d*x + c) + 1)*sin(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 25*(2*(5*cos(4*
d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*
c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4
*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*
x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x
+ 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) +
2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*
x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c)
+ 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 2
*(5*(20*cos(3*d*x + 3*c) + 20*cos(2*d*x + 2*c) + 10*cos(d*x + c) + 3)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2
+ 10*(20*cos(2*d*x + 2*c) + 10*cos(d*x + c) + 3)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 10*(10*cos(d*x +
c) + 3)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x
+ 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(
3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*
x + c)^2 + 15*cos(d*x + c) + 2)*cos(5*d*x + 5*c) + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x +
c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x +
3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x
+ c)^2 + 10*((10*cos(4*d*x + 4*c) + 20*cos(3*d*x + 3*c) + 20*cos(2*d*x + 2*c) + 10*cos(d*x + c) + 3)*cos(5*d*
x + 5*c)^2 + cos(5*d*x + 5*c)^3 + (cos(5*d*x + 5*c) + 1)*sin(5*d*x + 5*c)^2 + (10*(10*cos(3*d*x + 3*c) + 10*co
s(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*co
s(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))*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)*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) + c
os(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) + s
in(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + 50*(2*sin(3*d*x +
3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c)
+ sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(
d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(8/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)
)) + 20*((10*cos(4*d*x + 4*c) + 20*cos(3*d*x + 3*c) + 20*cos(2*d*x + 2*c) + 10*cos(d*x + c) + 3)*cos(5*d*x + 5
*c)^2 + cos(5*d*x + 5*c)^3 + (cos(5*d*x + 5*c) + 1)*sin(5*d*x + 5*c)^2 + (10*(10*cos(3*d*x + 3*c) + 10*cos(2*d
*x + 2*c) + 5*cos(d*x + c) + 2)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x
+ c) + 2)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 2)*cos(2*d*x + 2*c) + 100*cos(2*d*
x + 2*c)^2 + 25*cos(d*x + c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c)
+ 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 +
100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 20*cos(d*x + c) + 3)*cos(5*d*
x + 5*c) + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x
+ 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*co
s(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 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*c
os(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*si
n(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x +
c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 2
5*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 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))*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))*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)*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*c
os(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*(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 + 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) + 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)*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 + 1
00*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(2/5*arctan2(sin(5/2*d*x + 5/2*
c), cos(5/2*d*x + 5/2*c))) + 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))*c
os(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) + si
n(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 + 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)*sin(5*d*x
+ 5*c) + 10*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*
x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x
+ 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*
x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4
*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 +
50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*
sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(
2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos
(5/2*d*x + 5/2*c))) + 10*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) +
1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1
)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) +
100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2
+ 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x
+ 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)
^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^
2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(4/5*arctan2(sin(5/2*d*x +
5/2*c), cos(5/2*d*x + 5/2*c))) + 5*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*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(si
n(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))))*sin(8/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 20*
(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*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)*sin(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 5*(2*(5*cos(4*d*x +
4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 +
10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2
+ 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c)
+ 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c
) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(
2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c)
)*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*
sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))))*sin(6/5*ar
ctan2(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*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) + s
in(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x
+ c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(5*d*x + 5*c))*sin(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5
/2*d*x + 5/2*c))) + 10*cos(d*x + c) + 1)*log(cos(1/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 +
sin(1/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 2*sin(1/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5
/2*d*x + 5/2*c))) + 1) - 3*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c)
+ 2)*cos(5*d*x + 5*c)^3 + cos(5*d*x + 5*c)^4 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c)
+ sin(d*x + c))*sin(5*d*x + 5*c)^3 + sin(5*d*x + 5*c)^4 + (10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*
cos(d*x + c) + 3)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 3)*cos
(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 3)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 2
5*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 + 30*cos(d*x + c) + 6)*cos(5*d*x + 5*c)^2 + 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(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*(s
in(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^
2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100
*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*
sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*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) + 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(4/5*arctan2(sin(5/
2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 25*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*
c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c)
+ 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1
)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^
2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d
*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c)
+ 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 +
100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(2/5*
arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + (2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos
(2*d*x + 2*c) + 5*cos(d*x + c) + 2)*cos(5*d*x + 5*c) + 2*cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos
(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos
(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(
2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4
*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^
2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 2)*sin(
5*d*x + 5*c)^2 + 25*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*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)*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) + 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*(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*co
s(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*co
s(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)*co
s(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*cos(d*x + c) + 1)*cos(2*d*x + 2
*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*
d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*
x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x
+ c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x
+ 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))
*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x
+ 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3
*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*
cos(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c)
+ 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) +
10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c)
+ 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 1
00*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + s
in(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c
))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*s
in(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*
x + c) + 1)*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) + 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)*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) + 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 + 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 + 20*cos(d*x + c) + 3)*cos(5*d*x + 5*c) + 10*(10*cos(3*d*x + 3*c)
+ 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c
) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) +
100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x +
2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2
*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c)
+ 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*
c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(
5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*
c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2
+ 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(4
/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 5*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*
cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*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)*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)
+ 20*cos(2*d*x + 2*c) + 10*cos(d*x + c) + 3)*cos(5*d*x + 5*c)^2 + cos(5*d*x + 5*c)^3 + (cos(5*d*x + 5*c) + 1)
*sin(5*d*x + 5*c)^2 + (10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 2)*cos(4*d*x + 4*c) +
25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 2)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^
2 + 20*(5*cos(d*x + c) + 2)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 50*(2*sin(3*d*x +
3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) +
sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d
*x + c) + 25*sin(d*x + c)^2 + 20*cos(d*x + c) + 3)*cos(5*d*x + 5*c) + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x +
2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c
) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x +
2*c)^2 + 25*cos(d*x + c)^2 + 5*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x
+ c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*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*c
os(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*(1
0*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)*c
os(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) + 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 +
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)*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))*cos(5*d*x + 5*c) + sin(4*d*x +
4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + 50*(2*sin(3*d*x + 3*c) + 2*
sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x
+ c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) +
25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*((
sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5*d*x + 5*c)^2 + 2*(sin(4*d*x +
4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5*d*x + 5*c) + sin(4*d*x + 4*c) + 2*sin(3*
d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c)
+ sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*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 + s
in(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)*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 + 50
*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*si
n(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*
d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(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 + 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 + 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))*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(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
)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x +
5/2*c))))*sin(8/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 20*(10*(sin(4*d*x + 4*c) + 2*sin(3*d*
x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c)^2 + sin(5*d*x + 5*c)^3 + (2*(5*cos(4*d*x + 4*c)
+ 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*
(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20
*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1
)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c)
+ sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x +
3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^
2 + 10*cos(d*x + c) + 1)*sin(5*d*x + 5*c) + 10*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2
*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c
) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) +
1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)
^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*
d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c)
+ 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 +
100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(4/5
*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 5*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*co
s(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(
2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(
d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2
*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x +
c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4
*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x
+ 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) +
1)*sin(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))))*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*co
s(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x
+ 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x
+ 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*co
s(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 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) + 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)*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) + 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(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*co
s(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))*s
in(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))*si
n(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*co
s(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
+ 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(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)*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)*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 + 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(2/5*a
rctan2(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*s
in(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*si
n(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(9/5*arctan
2(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 + 320
0*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))*c
os(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*co
s(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)*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(7/5*arct
an2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) - 70*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c) + 10*cos(2*
d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*
x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x
+ c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x
+ 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))
*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x
+ 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3
*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*
cos(3/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) - 15*(2*(5*cos(4*d*x + 4*c) + 10*cos(3*d*x + 3*c)
+ 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) +
10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c)
+ 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 1
00*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + s
in(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c
))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*s
in(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*
x + c) + 1)*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)*s
in(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)*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))*sin(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))))*sin(8/5*arct
an2(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*c
os(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)*co
s(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(
4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*co
s(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*
(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c
)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 1
00*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 10
0*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(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)*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))) + 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(s
in(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*c
os(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)*c
os(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*co
s(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3
*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*
cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*
c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*si
n(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin
(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(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)*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)*si
n(5/2*d*x + 5/2*c) + cos(5*d*x + 5*c)*sin(5/2*d*x + 5/2*c) + 5*cos(4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) + 10*cos(
3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*sin(5*d*x + 5*c) + 6400*((2*sin(2*d*x + 2*c) + sin(d*x + c))*cos(5/2*d*x +
5/2*c) + 2*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c))*sin(4*d*x + 4*c) - 2560*(5*(2*sin(2*d*x + 2*c) + sin(d*x + c
))*cos(5/2*d*x + 5/2*c) + cos(5/2*d*x + 5/2*c)*sin(5*d*x + 5*c) + 5*cos(5/2*d*x + 5/2*c)*sin(4*d*x + 4*c) + 10
*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c) - (10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*sin(5/2*d*x + 5/2*c) - cos
(5*d*x + 5*c)*sin(5/2*d*x + 5/2*c) - 5*cos(4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) - 10*cos(3*d*x + 3*c)*sin(5/2*d*x
+ 5/2*c))*sin(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) - 1280*(5*(2*sin(2*d*x + 2*c) + sin(d*
x + c))*cos(5/2*d*x + 5/2*c) + cos(5/2*d*x + 5/2*c)*sin(5*d*x + 5*c) + 5*cos(5/2*d*x + 5/2*c)*sin(4*d*x + 4*c)
+ 10*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c) - (10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*sin(5/2*d*x + 5/2*c)
- cos(5*d*x + 5*c)*sin(5/2*d*x + 5/2*c) - 5*cos(4*d*x + 4*c)*sin(5/2*d*x + 5/2*c) - 10*cos(3*d*x + 3*c)*sin(5/
2*d*x + 5/2*c))*sin(2/5*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) + 12
800*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)*co
s(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) + 1
00*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2
+ 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x
+ 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^
2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2
+ 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*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(si
n(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)*si
n(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)*s
in(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*c
os(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*c
os(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*co
s(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)*co
s(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))*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)*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*co
s(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*co
s(5/2*d*x + 5/2*c)*sin(5*d*x + 5*c)^2 + 3200*cos(5/2*d*x + 5/2*c)*sin(4*d*x + 4*c)^2 + 12800*(2*sin(2*d*x + 2*
c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c) + 12800*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c)^2 + 256
*((10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5/2*d*x + 5/2*c) + 5*cos(4*d*x + 4*c)*cos(5/2*d*x + 5/2*c) +
10*cos(3*d*x + 3*c)*cos(5/2*d*x + 5/2*c))*cos(5*d*x + 5*c) + 1280*((10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*
cos(5/2*d*x + 5/2*c) + 10*cos(3*d*x + 3*c)*cos(5/2*d*x + 5/2*c))*cos(4*d*x + 4*c) + 128*(20*(5*cos(d*x + c) +
1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*
c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*cos(5/2*d*x + 5/2*c) - 15*(2*(5*cos(4*d*x + 4*c) +
10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + cos(5*d*x + 5*c)^2 + 10*(10
*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(1
0*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*c
os(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 10*(sin(4*d*x + 4*c) + 2*sin(3*d*x + 3*c) + 2*s
in(2*d*x + 2*c) + sin(d*x + c))*sin(5*d*x + 5*c) + sin(5*d*x + 5*c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*sin(2*d*x +
2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(3
*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sin(d*x
+ c)^2 + 10*cos(d*x + c) + 1)*cos(1/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 256*((10*cos(2*d
*x + 2*c) + 5*cos(d*x + c) + 1)*sin(5/2*d*x + 5/2*c) + cos(5*d*x + 5*c)*sin(5/2*d*x + 5/2*c) + 5*cos(4*d*x + 4
*c)*sin(5/2*d*x + 5/2*c) + 10*cos(3*d*x + 3*c)*sin(5/2*d*x + 5/2*c))*sin(5*d*x + 5*c) + 6400*((2*sin(2*d*x + 2
*c) + sin(d*x + c))*cos(5/2*d*x + 5/2*c) + 2*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c))*sin(4*d*x + 4*c))*sin(2/5*
arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) - 12*((10*cos(4*d*x + 4*c) + 20*cos(3*d*x + 3*c) + 20*cos
(2*d*x + 2*c) + 10*cos(d*x + c) + 3)*cos(5*d*x + 5*c)^2 + cos(5*d*x + 5*c)^3 + (cos(5*d*x + 5*c) + 1)*sin(5*d*
x + 5*c)^2 + (10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 2)*cos(4*d*x + 4*c) + 25*cos(4*
d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 2)*cos(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5
*cos(d*x + c) + 2)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 + 25*cos(d*x + c)^2 + 50*(2*sin(3*d*x + 3*c) + 2*
sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d*x + 2*c) + sin(d*x
+ c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x + 2*c)*sin(d*x + c) +
25*sin(d*x + c)^2 + 20*cos(d*x + c) + 3)*cos(5*d*x + 5*c) + 10*(10*cos(3*d*x + 3*c) + 10*cos(2*d*x + 2*c) + 5
*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 25*cos(4*d*x + 4*c)^2 + 20*(10*cos(2*d*x + 2*c) + 5*cos(d*x + c) + 1)*co
s(3*d*x + 3*c) + 100*cos(3*d*x + 3*c)^2 + 20*(5*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 100*cos(2*d*x + 2*c)^2 +
25*cos(d*x + c)^2 + 10*((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*s
in(3*d*x + 3*c) + 2*sin(2*d*x + 2*c) + sin(d*x + c))*sin(4*d*x + 4*c) + 25*sin(4*d*x + 4*c)^2 + 100*(2*sin(2*d
*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 100*sin(3*d*x + 3*c)^2 + 100*sin(2*d*x + 2*c)^2 + 100*sin(2*d*x +
2*c)*sin(d*x + c) + 25*sin(d*x + c)^2 + 10*cos(d*x + c) + 1)*sin(1/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*
x + 5/2*c))))*C/((sqrt(2)*a^2*cos(5*d*x + 5*c)^4 + sqrt(2)*a^2*sin(5*d*x + 5*c)^4 + 25*sqrt(2)*a^2*cos(4*d*x +
4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 25*sqrt(2)*a^2*cos(d*x + c
)^2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c
)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d*x + c)^2 + 2*(5*sqrt(2)*a^2*cos(4*d
*x + 4*c) + 10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + 2
*sqrt(2)*a^2)*cos(5*d*x + 5*c)^3 + 10*(sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(
2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(5*d*x + 5*c)^3 + 10*sqrt(2)*a^2*cos(d*x + c) + (25*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 + 30*s
qrt(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*sqr
t(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
*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(5*d*x + 5*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c
) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x
+ 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*cos(8/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*
c)))^2 + 100*(sqrt(2)*a^2*cos(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x +
3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 25*sqrt(2)*a^2*cos(d*x + c)^2 + sqrt(2)*a^2*sin(5*d*x + 5*c)^2
+ 25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2
+ 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d*x + c)^2 + 10*sqrt(2)*a^2*cos(d*x + c)
+ sqrt(2)*a^2 + 2*(5*sqrt(2)*a^2*cos(4*d*x + 4*c) + 10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x
+ 2*c) + 5*sqrt(2)*a^2*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) + 1
0*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*sq
rt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(5*d*x + 5*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) +
2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x +
2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*cos(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))
)^2 + 100*(sqrt(2)*a^2*cos(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*
c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 25*sqrt(2)*a^2*cos(d*x + c)^2 + sqrt(2)*a^2*sin(5*d*x + 5*c)^2 + 2
5*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 + 1
00*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) + s
qrt(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*s
qrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*
cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c)
+ sqrt(2)*a^2)*cos(2*d*x + 2*c) + 10*(sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(
2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(5*d*x + 5*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*
sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c
) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*cos(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2
+ 25*(sqrt(2)*a^2*cos(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2
+ 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 25*sqrt(2)*a^2*cos(d*x + c)^2 + sqrt(2)*a^2*sin(5*d*x + 5*c)^2 + 25*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(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + (
2*sqrt(2)*a^2*cos(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 10
0*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*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) + 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*sq
rt(2)*a^2)*cos(5*d*x + 5*c) + 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2
)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d
*x + c) + sqrt(2)*a^2)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*c) + 50*
(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x + 4*c)
+ 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*sin(5*d*x + 5*c)^2 + 25*(s
qrt(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*s
qrt(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*sqr
t(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*c
os(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*s
in(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(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 100*(sqrt(2)
*a^2*cos(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)
*a^2*cos(2*d*x + 2*c)^2 + 25*sqrt(2)*a^2*cos(d*x + c)^2 + sqrt(2)*a^2*sin(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*sin(
4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin
(2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d*x + c)^2 + 10*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2 + 2*(5*
sqrt(2)*a^2*cos(4*d*x + 4*c) + 10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a
^2*cos(d*x + c) + sqrt(2)*a^2)*cos(5*d*x + 5*c) + 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d
*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) +
5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*co
s(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*si
n(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*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(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + sqrt(2)*a^2 + 2*(25
*sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 25
*sqrt(2)*a^2*cos(d*x + c)^2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c)^2 + 100*sqr
t(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d*x + c)^2 +
15*sqrt(2)*a^2*cos(d*x + c) + 2*sqrt(2)*a^2 + 5*(20*sqrt(2)*a^2*cos(3*d*x + 3*c) + 20*sqrt(2)*a^2*cos(2*d*x +
2*c) + 10*sqrt(2)*a^2*cos(d*x + c) + 3*sqrt(2)*a^2)*cos(4*d*x + 4*c) + 10*(20*sqrt(2)*a^2*cos(2*d*x + 2*c) + 1
0*sqrt(2)*a^2*cos(d*x + c) + 3*sqrt(2)*a^2)*cos(3*d*x + 3*c) + 10*(10*sqrt(2)*a^2*cos(d*x + c) + 3*sqrt(2)*a^2
)*cos(2*d*x + 2*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x
+ c))*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*co
s(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) + sqr
t(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
+ (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))*sin(4*d*x + 4*c) + 1
00*(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*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(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*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 + 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) + 1
0*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*c
os(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) + sq
rt(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))*co
s(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*(sqrt(2)*a^2*cos(5*d*x + 5*c)^2 + 25*sqrt(2)*a
^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 25*sqrt(2)*a
^2*cos(d*x + c)^2 + sqrt(2)*a^2*sin(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3
*d*x + 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2
)*a^2*sin(d*x + c)^2 + 10*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2 + 2*(5*sqrt(2)*a^2*cos(4*d*x + 4*c) + 10*sqrt
(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(5*d
*x + 5*c) + 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c)
+ sqrt(2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*
a^2)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*c) + 10*(sqrt(2)*a^2*sin(4
*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(
5*d*x + 5*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))
*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*s
in(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)*co
s(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*c) + 10*(sqrt(2)*a^2*sin(4*d*x +
4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(5*d*x +
5*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(4*
d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*cos(2/5*arctan2
(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*(sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3
*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c) + (sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a^
2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*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) + 1
0*sqrt(2)*a^2*cos(d*x + c) + 3*sqrt(2)*a^2)*cos(5*d*x + 5*c)^2 + (sqrt(2)*a^2*cos(5*d*x + 5*c) + sqrt(2)*a^2)*
sin(5*d*x + 5*c)^2 + sqrt(2)*a^2 + (25*sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 1
00*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*sq
rt(2)*a^2*sin(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x +
c) + 25*sqrt(2)*a^2*sin(d*x + c)^2 + 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) + 2
0*(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*si
n(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*c
os(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 25*sqrt(2)*a^2*cos(d*x + c)^2 + 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*si
n(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
*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) + sq
rt(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)*si
n(d*x + c) + 25*sqrt(2)*a^2*sin(d*x + c)^2 + 10*sqrt(2)*a^2*cos(d*x + c) + (10*sqrt(2)*a^2*cos(4*d*x + 4*c) +
20*sqrt(2)*a^2*cos(3*d*x + 3*c) + 20*sqrt(2)*a^2*cos(2*d*x + 2*c) + 10*sqrt(2)*a^2*cos(d*x + c) + 3*sqrt(2)*a^
2)*cos(5*d*x + 5*c)^2 + (sqrt(2)*a^2*cos(5*d*x + 5*c) + sqrt(2)*a^2)*sin(5*d*x + 5*c)^2 + sqrt(2)*a^2 + (25*sq
rt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 25*sq
rt(2)*a^2*cos(d*x + c)^2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c)^2 + 100*sqrt(2
)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d*x + c)^2 + 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*sq
rt(2)*a^2*cos(d*x + c) + 2*sqrt(2)*a^2)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + 2*sqrt(2)*a^2)*cos
(2*d*x + 2*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c)
)*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*cos(5*d
*x + 5*c) + 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c)
+ sqrt(2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*
a^2)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*c) + 5*(sqrt(2)*a^2*cos(5*
d*x + 5*c)^2 + 25*sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*
d*x + 2*c)^2 + 25*sqrt(2)*a^2*cos(d*x + c)^2 + sqrt(2)*a^2*sin(5*d*x + 5*c)^2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c
)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*
c)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d*x + c)^2 + 10*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2 + 2*(5*sqrt(2)*a^2
*cos(4*d*x + 4*c) + 10*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) + sqr
t(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(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 10*(sqrt(2)*a^2*cos(5*d*x + 5
*c)^3 + 25*sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2
*c)^2 + 25*sqrt(2)*a^2*cos(d*x + c)^2 + 25*sqrt(2)*a^2*sin(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c)^2
+ 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d*x
+ c)^2 + 10*sqrt(2)*a^2*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) + 2
0*sqrt(2)*a^2*cos(2*d*x + 2*c) + 10*sqrt(2)*a^2*cos(d*x + c) + 3*sqrt(2)*a^2)*cos(5*d*x + 5*c)^2 + (sqrt(2)*a^
2*cos(5*d*x + 5*c) + sqrt(2)*a^2)*sin(5*d*x + 5*c)^2 + sqrt(2)*a^2 + (25*sqrt(2)*a^2*cos(4*d*x + 4*c)^2 + 100*
sqrt(2)*a^2*cos(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*cos(2*d*x + 2*c)^2 + 25*sqrt(2)*a^2*cos(d*x + c)^2 + 25*sqrt(
2)*a^2*sin(4*d*x + 4*c)^2 + 100*sqrt(2)*a^2*sin(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt
(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d*x + c)^2 + 20*sqrt(2)*a^2*cos(d*x + c) + 3*sqrt(2
)*a^2 + 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + 2
*sqrt(2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + 2*sqrt(2)*
a^2)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + 2*sqrt(2)*a^2)*cos(2*d*x + 2*c) + 50*(2*sqrt(2)*a^2*s
in(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x + 4*c) + 100*(2*sqrt(2)
*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*cos(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))*s
in(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*ar
ctan2(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*(s
qrt(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*si
n(d*x + c))*cos(5*d*x + 5*c))*sin(5*d*x + 5*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x
+ 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*
x + c))*sin(3*d*x + 3*c) + 10*(sqrt(2)*a^2*sin(5*d*x + 5*c)^3 + 10*(sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a
^2*sin(3*d*x + 3*c) + 2*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*s
qrt(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)*co
s(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) + sqr
t(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*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) + s
qrt(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))) + 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)*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))*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*s
qrt(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*(s
qrt(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*si
n(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(8/5*arctan2(sin(5/2*d*x + 5/2*c), co
s(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*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(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) + sq
rt(2)*a^2)*cos(5*d*x + 5*c) + 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2
)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d
*x + c) + sqrt(2)*a^2)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*c) + 10*
(sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*
sin(d*x + c))*sin(5*d*x + 5*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)
*a^2*sin(d*x + c))*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*
x + 3*c))*sin(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*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*si
n(3*d*x + 3*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)^2 + 100*sqrt(2)*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 25*sqr
t(2)*a^2*sin(d*x + c)^2 + 10*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2 + 2*(5*sqrt(2)*a^2*cos(4*d*x + 4*c) + 10*s
qrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(
5*d*x + 5*c) + 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x +
c) + sqrt(2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c) + sqrt(
2)*a^2)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*c) + 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
)*sin(d*x + c) + 25*sqrt(2)*a^2*sin(d*x + c)^2 + 10*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2 + 2*(5*sqrt(2)*a^2*
cos(4*d*x + 4*c) + 10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x +
c) + sqrt(2)*a^2)*cos(5*d*x + 5*c) + 10*(10*sqrt(2)*a^2*cos(3*d*x + 3*c) + 10*sqrt(2)*a^2*cos(2*d*x + 2*c) +
5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a
^2*cos(d*x + c) + sqrt(2)*a^2)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*
c) + 10*(sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt
(2)*a^2*sin(d*x + c))*sin(5*d*x + 5*c) + 50*(2*sqrt(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) +
sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x + 4*c) + 100*(2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*
sin(3*d*x + 3*c))*sin(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))))*sin(4/5*arctan2(sin(5/2*d*x +
5/2*c), cos(5/2*d*x + 5/2*c))) + 10*(sqrt(2)*a^2*sin(5*d*x + 5*c)^3 + 10*(sqrt(2)*a^2*sin(4*d*x + 4*c) + 2*sqr
t(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 + (s
qrt(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*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 + 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*c
os(d*x + c) + sqrt(2)*a^2)*cos(4*d*x + 4*c) + 20*(10*sqrt(2)*a^2*cos(2*d*x + 2*c) + 5*sqrt(2)*a^2*cos(d*x + c)
+ sqrt(2)*a^2)*cos(3*d*x + 3*c) + 20*(5*sqrt(2)*a^2*cos(d*x + c) + sqrt(2)*a^2)*cos(2*d*x + 2*c) + 50*(2*sqrt
(2)*a^2*sin(3*d*x + 3*c) + 2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(4*d*x + 4*c) + 100*(
2*sqrt(2)*a^2*sin(2*d*x + 2*c) + sqrt(2)*a^2*sin(d*x + c))*sin(3*d*x + 3*c))*sin(5*d*x + 5*c))*sin(2/5*arctan2
(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))))*sqrt(a)))/d

Giac [F]

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

[In]

integrate(sec(d*x+c)^(1/2)*(A+B*sec(d*x+c)+C*sec(d*x+c)^2)/(a+a*sec(d*x+c))^(5/2),x, algorithm="giac")

[Out]

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

Mupad [F(-1)]

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

[In]

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

[Out]

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