\(\int \frac {A+B \cos (c+d x)}{(a+a \cos (c+d x))^{3/2}} \, dx\) [111]

Optimal result

Integrand size = 25, antiderivative size = 87 \[ \int \frac {A+B \cos (c+d x)}{(a+a \cos (c+d x))^{3/2}} \, dx=\frac {(A+3 B) \text {arctanh}\left (\frac {\sqrt {a} \sin (c+d x)}{\sqrt {2} \sqrt {a+a \cos (c+d x)}}\right )}{2 \sqrt {2} a^{3/2} d}+\frac {(A-B) \sin (c+d x)}{2 d (a+a \cos (c+d x))^{3/2}} \]

[Out]

1/2*(A-B)*sin(d*x+c)/d/(a+a*cos(d*x+c))^(3/2)+1/4*(A+3*B)*arctanh(1/2*sin(d*x+c)*a^(1/2)*2^(1/2)/(a+a*cos(d*x+
c))^(1/2))/a^(3/2)/d*2^(1/2)

Rubi [A] (verified)

Time = 0.09 (sec) , antiderivative size = 87, normalized size of antiderivative = 1.00, number of steps used = 3, number of rules used = 3, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.120, Rules used = {2829, 2728, 212} \[ \int \frac {A+B \cos (c+d x)}{(a+a \cos (c+d x))^{3/2}} \, dx=\frac {(A+3 B) \text {arctanh}\left (\frac {\sqrt {a} \sin (c+d x)}{\sqrt {2} \sqrt {a \cos (c+d x)+a}}\right )}{2 \sqrt {2} a^{3/2} d}+\frac {(A-B) \sin (c+d x)}{2 d (a \cos (c+d x)+a)^{3/2}} \]

[In]

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

[Out]

((A + 3*B)*ArcTanh[(Sqrt[a]*Sin[c + d*x])/(Sqrt[2]*Sqrt[a + a*Cos[c + d*x]])])/(2*Sqrt[2]*a^(3/2)*d) + ((A - B
)*Sin[c + d*x])/(2*d*(a + a*Cos[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 2728

Int[1/Sqrt[(a_) + (b_.)*sin[(c_.) + (d_.)*(x_)]], x_Symbol] :> Dist[-2/d, Subst[Int[1/(2*a - x^2), x], x, b*(C
os[c + d*x]/Sqrt[a + b*Sin[c + d*x]])], x] /; FreeQ[{a, b, c, d}, x] && EqQ[a^2 - b^2, 0]

Rule 2829

Int[((a_) + (b_.)*sin[(e_.) + (f_.)*(x_)])^(m_)*((c_.) + (d_.)*sin[(e_.) + (f_.)*(x_)]), x_Symbol] :> Simp[(b*
c - a*d)*Cos[e + f*x]*((a + b*Sin[e + f*x])^m/(a*f*(2*m + 1))), x] + Dist[(a*d*m + b*c*(m + 1))/(a*b*(2*m + 1)
), Int[(a + b*Sin[e + f*x])^(m + 1), x], x] /; FreeQ[{a, b, c, d, e, f}, x] && NeQ[b*c - a*d, 0] && EqQ[a^2 -
b^2, 0] && LtQ[m, -2^(-1)]

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

Mathematica [A] (verified)

Time = 0.14 (sec) , antiderivative size = 63, normalized size of antiderivative = 0.72 \[ \int \frac {A+B \cos (c+d x)}{(a+a \cos (c+d x))^{3/2}} \, dx=\frac {(A+3 B) \text {arctanh}\left (\sin \left (\frac {1}{2} (c+d x)\right )\right ) \cos ^3\left (\frac {1}{2} (c+d x)\right )+\frac {1}{2} (A-B) \sin (c+d x)}{d (a (1+\cos (c+d x)))^{3/2}} \]

[In]

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

[Out]

((A + 3*B)*ArcTanh[Sin[(c + d*x)/2]]*Cos[(c + d*x)/2]^3 + ((A - B)*Sin[c + d*x])/2)/(d*(a*(1 + Cos[c + d*x]))^
(3/2))

Maple [B] (verified)

Leaf count of result is larger than twice the leaf count of optimal. \(219\) vs. \(2(72)=144\).

Time = 4.06 (sec) , antiderivative size = 220, normalized size of antiderivative = 2.53

method	result	size
default	\(\frac {\sqrt {a \left (\sin ^{2}\left (\frac {d x}{2}+\frac {c}{2}\right )\right )}\, \left (A \ln \left (\frac {4 \sqrt {a}\, \sqrt {a \left (\sin ^{2}\left (\frac {d x}{2}+\frac {c}{2}\right )\right )}+4 a}{\cos \left (\frac {d x}{2}+\frac {c}{2}\right )}\right ) \sqrt {2}\, \left (\cos ^{2}\left (\frac {d x}{2}+\frac {c}{2}\right )\right ) a +3 B \ln \left (\frac {4 \sqrt {a}\, \sqrt {a \left (\sin ^{2}\left (\frac {d x}{2}+\frac {c}{2}\right )\right )}+4 a}{\cos \left (\frac {d x}{2}+\frac {c}{2}\right )}\right ) \sqrt {2}\, \left (\cos ^{2}\left (\frac {d x}{2}+\frac {c}{2}\right )\right ) a +A \sqrt {a}\, \sqrt {2}\, \sqrt {a \left (\sin ^{2}\left (\frac {d x}{2}+\frac {c}{2}\right )\right )}-B \sqrt {2}\, \sqrt {a \left (\sin ^{2}\left (\frac {d x}{2}+\frac {c}{2}\right )\right )}\, \sqrt {a}\right )}{4 \cos \left (\frac {d x}{2}+\frac {c}{2}\right ) a^{\frac {5}{2}} \sin \left (\frac {d x}{2}+\frac {c}{2}\right ) \sqrt {a \left (\cos ^{2}\left (\frac {d x}{2}+\frac {c}{2}\right )\right )}\, d}\)	\(220\)
parts	\(\frac {A \sqrt {a \left (\sin ^{2}\left (\frac {d x}{2}+\frac {c}{2}\right )\right )}\, \left (\sqrt {2}\, \ln \left (\frac {4 \sqrt {a}\, \sqrt {a \left (\sin ^{2}\left (\frac {d x}{2}+\frac {c}{2}\right )\right )}+4 a}{\cos \left (\frac {d x}{2}+\frac {c}{2}\right )}\right ) a \left (\cos ^{2}\left (\frac {d x}{2}+\frac {c}{2}\right )\right )+\sqrt {2}\, \sqrt {a \left (\sin ^{2}\left (\frac {d x}{2}+\frac {c}{2}\right )\right )}\, \sqrt {a}\right )}{4 a^{\frac {5}{2}} \cos \left (\frac {d x}{2}+\frac {c}{2}\right ) \sin \left (\frac {d x}{2}+\frac {c}{2}\right ) \sqrt {a \left (\cos ^{2}\left (\frac {d x}{2}+\frac {c}{2}\right )\right )}\, d}+\frac {B \sqrt {a \left (\sin ^{2}\left (\frac {d x}{2}+\frac {c}{2}\right )\right )}\, \left (3 \sqrt {2}\, \ln \left (\frac {4 \sqrt {a}\, \sqrt {a \left (\sin ^{2}\left (\frac {d x}{2}+\frac {c}{2}\right )\right )}+4 a}{\cos \left (\frac {d x}{2}+\frac {c}{2}\right )}\right ) a \left (\cos ^{2}\left (\frac {d x}{2}+\frac {c}{2}\right )\right )-\sqrt {2}\, \sqrt {a \left (\sin ^{2}\left (\frac {d x}{2}+\frac {c}{2}\right )\right )}\, \sqrt {a}\right )}{4 \cos \left (\frac {d x}{2}+\frac {c}{2}\right ) a^{\frac {5}{2}} \sin \left (\frac {d x}{2}+\frac {c}{2}\right ) \sqrt {a \left (\cos ^{2}\left (\frac {d x}{2}+\frac {c}{2}\right )\right )}\, d}\)	\(280\)

[In]

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

[Out]

1/4/cos(1/2*d*x+1/2*c)*(a*sin(1/2*d*x+1/2*c)^2)^(1/2)*(A*ln(2*(2*a^(1/2)*(a*sin(1/2*d*x+1/2*c)^2)^(1/2)+2*a)/c
os(1/2*d*x+1/2*c))*2^(1/2)*cos(1/2*d*x+1/2*c)^2*a+3*B*ln(2*(2*a^(1/2)*(a*sin(1/2*d*x+1/2*c)^2)^(1/2)+2*a)/cos(
1/2*d*x+1/2*c))*2^(1/2)*cos(1/2*d*x+1/2*c)^2*a+A*a^(1/2)*2^(1/2)*(a*sin(1/2*d*x+1/2*c)^2)^(1/2)-B*2^(1/2)*(a*s
in(1/2*d*x+1/2*c)^2)^(1/2)*a^(1/2))/a^(5/2)/sin(1/2*d*x+1/2*c)/(a*cos(1/2*d*x+1/2*c)^2)^(1/2)/d

Fricas [B] (verification not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 172 vs. \(2 (72) = 144\).

Time = 0.29 (sec) , antiderivative size = 172, normalized size of antiderivative = 1.98 \[ \int \frac {A+B \cos (c+d x)}{(a+a \cos (c+d x))^{3/2}} \, dx=\frac {\sqrt {2} {\left ({\left (A + 3 \, B\right )} \cos \left (d x + c\right )^{2} + 2 \, {\left (A + 3 \, B\right )} \cos \left (d x + c\right ) + A + 3 \, B\right )} \sqrt {a} \log \left (-\frac {a \cos \left (d x + c\right )^{2} - 2 \, \sqrt {2} \sqrt {a \cos \left (d x + c\right ) + a} \sqrt {a} \sin \left (d x + c\right ) - 2 \, a \cos \left (d x + c\right ) - 3 \, a}{\cos \left (d x + c\right )^{2} + 2 \, \cos \left (d x + c\right ) + 1}\right ) + 4 \, \sqrt {a \cos \left (d x + c\right ) + a} {\left (A - B\right )} \sin \left (d x + c\right )}{8 \, {\left (a^{2} d \cos \left (d x + c\right )^{2} + 2 \, a^{2} d \cos \left (d x + c\right ) + a^{2} d\right )}} \]

[In]

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

[Out]

1/8*(sqrt(2)*((A + 3*B)*cos(d*x + c)^2 + 2*(A + 3*B)*cos(d*x + c) + A + 3*B)*sqrt(a)*log(-(a*cos(d*x + c)^2 -
2*sqrt(2)*sqrt(a*cos(d*x + c) + a)*sqrt(a)*sin(d*x + c) - 2*a*cos(d*x + c) - 3*a)/(cos(d*x + c)^2 + 2*cos(d*x
+ c) + 1)) + 4*sqrt(a*cos(d*x + c) + a)*(A - B)*sin(d*x + c))/(a^2*d*cos(d*x + c)^2 + 2*a^2*d*cos(d*x + c) + a
^2*d)

Sympy [F]

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

[In]

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

[Out]

Integral((A + B*cos(c + d*x))/(a*(cos(c + d*x) + 1))**(3/2), x)

Maxima [B] (verification not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 62254 vs. \(2 (72) = 144\).

Time = 2.48 (sec) , antiderivative size = 62254, normalized size of antiderivative = 715.56 \[ \int \frac {A+B \cos (c+d x)}{(a+a \cos (c+d x))^{3/2}} \, dx=\text {Too large to display} \]

[In]

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

[Out]

1/16*((3*(sqrt(2)*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) - sqrt(2)*
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) + 4*sqrt(2)*sin(5/2*d*x + 5/
2*c))*cos(3*d*x + 3*c)^2 + 27*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) -
sqrt(2)*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 + (
3*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*log(cos(1/2*d*x + 1/2*c)^2 + si
n(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*cos(d*x + c)^2 + 3*(sqrt(2)*log(cos(1/2*d*x + 1/2*c)^2 + s
in(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 - 96*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(d*x + c) - 60*sqrt(2)*cos(1/2*d*x + 1/2*c)*sin
(d*x + c) + 2*(9*(sqrt(2)*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) -
sqrt(2)*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) +
9*(sqrt(2)*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) - sqrt(2)*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) + 3*sqrt(2)*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) - 3*sqrt(2)*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*sqrt(2)*sin(5/2*d*x + 5/2*c) + 16*sqrt(2)*sin(3/
2*d*x + 3/2*c) + 10*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(3*d*x + 3*c) + 60*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*si
n(d*x + c))*cos(5/2*d*x + 5/2*c) + 6*(9*(sqrt(2)*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) - sqrt(2)*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) + 3*sqrt(2)*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)
- 3*sqrt(2)*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) + 16*sqrt(2)*si
n(3/2*d*x + 3/2*c) + 10*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(2*d*x + 2*c) + 6*(3*sqrt(2)*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) - 3*sqrt(2)*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*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(d*x + c) + 2*(9*(sqrt(2)*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) - sqrt(2)*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) + 9*(sqrt(2)*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) - sqrt(2)*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) + 10*sqrt(2)*cos(5/2*d*x + 5/2*c) - 16*sqrt(2)*cos(
3/2*d*x + 3/2*c) - 10*sqrt(2)*cos(1/2*d*x + 1/2*c))*sin(3*d*x + 3*c) - 20*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt
(2)*cos(d*x + c) + sqrt(2))*sin(5/2*d*x + 5/2*c) + 6*(9*(sqrt(2)*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) - sqrt(2)*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) - 16*sqrt(2)*cos(3/2*d*x + 3/2*c) - 10*sqrt(2)*cos(1/2*d*x + 1/2*c))*sin(2*d*
x + 2*c) + 32*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(3/2*d*x + 3/2*c) + 3*sqrt(2)*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) - 3*sqrt(2)*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) + 20*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(6/5*arctan2(sin(5/2*d*x + 5/2*c),
cos(5/2*d*x + 5/2*c)))^2 + 9*(3*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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
) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*
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 + 3*(sqrt(2)
*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 - 96*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(d*x + c) - 60*s
qrt(2)*cos(1/2*d*x + 1/2*c)*sin(d*x + c) + 2*(9*(sqrt(2)*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) - sqrt(2)*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) + 9*(sqrt(2)*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) - sqrt(2)*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) + 3*sqrt(2)*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) - 3*sq
rt(2)*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*sqrt(2)*sin(5/2*d
*x + 5/2*c) + 16*sqrt(2)*sin(3/2*d*x + 3/2*c) + 10*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(3*d*x + 3*c) + 60*(sqrt(2
)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*cos(5/2*d*x + 5/2*c) + 6*(9*(sqrt(2)*log(cos(1/2*d*x + 1/2*c)^2 + s
in(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - sqrt(2)*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) + 3*sqrt(2)*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) - 3*sqrt(2)*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) + 16*sqrt(2)*sin(3/2*d*x + 3/2*c) + 10*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(2*d*x + 2*c) + 6*(3*s
qrt(2)*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) - 3*sqrt(2)*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*sqrt(2)*sin(1/2*d*x + 1/2*c))*co
s(d*x + c) + 2*(9*(sqrt(2)*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) -
sqrt(2)*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) +
9*(sqrt(2)*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) - sqrt(2)*log(co
s(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*sin(d*x + c) + 10*sqrt(2)*cos(5/2
*d*x + 5/2*c) - 16*sqrt(2)*cos(3/2*d*x + 3/2*c) - 10*sqrt(2)*cos(1/2*d*x + 1/2*c))*sin(3*d*x + 3*c) - 20*(3*sq
rt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(5/2*d*x + 5/2*c) + 6*(9*(sqrt(2)*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) - sqrt(2)*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) - 16*sqrt(2)*cos(3/2*d*x + 3/2*c) - 10*sqrt(2)
*cos(1/2*d*x + 1/2*c))*sin(2*d*x + 2*c) + 32*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(3/2*d*x + 3/2*c) + 3*sqrt(
2)*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) - 3*sqrt(2)*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) + 20*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(4/
5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 9*(3*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 + 3*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2
)*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 + 27*(
sqrt(2)*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) - sqrt(2)*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 - 96*sqrt(2)*cos(3/2*d
*x + 3/2*c)*sin(d*x + c) - 60*sqrt(2)*cos(1/2*d*x + 1/2*c)*sin(d*x + c) + 2*(9*(sqrt(2)*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) - sqrt(2)*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) + 9*(sqrt(2)*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) - sqrt(2)*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) + 3*sqrt(2)*log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*s
in(1/2*d*x + 1/2*c) + 1) - 3*sqrt(2)*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*sqrt(2)*sin(5/2*d*x + 5/2*c) + 16*sqrt(2)*sin(3/2*d*x + 3/2*c) + 10*sqrt(2)*sin(1/2*d*x + 1/2*c)
)*cos(3*d*x + 3*c) + 60*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*cos(5/2*d*x + 5/2*c) + 6*(9*(sqrt(2)
*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) - sqrt(2)*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) + 3*sqrt(2)*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) - 3*sqrt(2)*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) + 16*sqrt(2)*sin(3/2*d*x + 3/2*c) + 10*sqrt(2)*sin(1/2*d*x + 1/
2*c))*cos(2*d*x + 2*c) + 6*(3*sqrt(2)*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) - 3*sqrt(2)*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*s
qrt(2)*sin(1/2*d*x + 1/2*c))*cos(d*x + c) + 2*(9*(sqrt(2)*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) - sqrt(2)*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) + 9*(sqrt(2)*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) - sqrt(2)*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))*si
n(d*x + c) + 10*sqrt(2)*cos(5/2*d*x + 5/2*c) - 16*sqrt(2)*cos(3/2*d*x + 3/2*c) - 10*sqrt(2)*cos(1/2*d*x + 1/2*
c))*sin(3*d*x + 3*c) - 20*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(5/2*d*x + 5/2*c)
+ 6*(9*(sqrt(2)*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) - sqrt(2)*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))*sin(d*x + c) - 16*sqrt(2)*co
s(3/2*d*x + 3/2*c) - 10*sqrt(2)*cos(1/2*d*x + 1/2*c))*sin(2*d*x + 2*c) + 32*(3*sqrt(2)*cos(d*x + c) + sqrt(2))
*sin(3/2*d*x + 3/2*c) + 3*sqrt(2)*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) - 3*sqrt(2)*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) + 20*sqrt(
2)*sin(1/2*d*x + 1/2*c))*cos(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 3*(sqrt(2)*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) - sqrt(2)*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) + 4*sqrt(2)*sin(5/2*d*x + 5/2*c))*sin(3*d*x + 3*c)^2 +
27*(sqrt(2)*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) - sqrt(2)*log(co
s(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*sin(2*d*x + 2*c)^2 + 27*(sqrt(2)*
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) - sqrt(2)*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 + (3*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*si
n(1/2*d*x + 1/2*c) + 1))*cos(d*x + c)^2 + 3*(sqrt(2)*log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*s
in(1/2*d*x + 1/2*c) + 1) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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)
- sqrt(2)*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 -
96*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(d*x + c) - 60*sqrt(2)*cos(1/2*d*x + 1/2*c)*sin(d*x + c) + 2*(9*(sqrt(2)*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) - sqrt(2)*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) + 9*(sqrt(2)*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) - sqrt(2)*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) + 3*sqrt(2)*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) - 3*sqrt(2)*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*sqrt(2)*sin(5/2*d*x + 5/2*c) + 16*sqrt(2)*sin(3/2*d*x + 3/2*c) + 10*sqrt(2)
*sin(1/2*d*x + 1/2*c))*cos(3*d*x + 3*c) + 60*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*cos(5/2*d*x + 5
/2*c) + 6*(9*(sqrt(2)*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) - sqrt
(2)*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) + 3*sqrt(2
)*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) - 3*sqrt(2)*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) + 16*sqrt(2)*sin(3/2*d*x + 3/2*c) + 10*sqr
t(2)*sin(1/2*d*x + 1/2*c))*cos(2*d*x + 2*c) + 6*(3*sqrt(2)*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) - 3*sqrt(2)*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*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(d*x + c) + 2*(9*(sqrt(2)*log(cos(1/2*d*x + 1/2*c)^2 + si
n(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - sqrt(2)*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) + 9*(sqrt(2)*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) - sqrt(2)*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) + 10*sqrt(2)*cos(5/2*d*x + 5/2*c) - 16*sqrt(2)*cos(3/2*d*x + 3/2*c) - 10*sqrt(
2)*cos(1/2*d*x + 1/2*c))*sin(3*d*x + 3*c) - 20*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))
*sin(5/2*d*x + 5/2*c) + 6*(9*(sqrt(2)*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) - sqrt(2)*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) - 16*sqrt(2)*cos(3/2*d*x + 3/2*c) - 10*sqrt(2)*cos(1/2*d*x + 1/2*c))*sin(2*d*x + 2*c) + 32*(3*sqrt(2)*co
s(d*x + c) + sqrt(2))*sin(3/2*d*x + 3/2*c) + 3*sqrt(2)*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) - 3*sqrt(2)*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) + 20*sqrt(2)*sin(1/2*d*x + 1/2*c))*sin(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 +
9*(3*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(
2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 + 3*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 - 96*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(d*x + c) - 60*sqrt(2)*cos(1/2*d*x + 1/2*c)
*sin(d*x + c) + 2*(9*(sqrt(2)*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
) - sqrt(2)*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
) + 9*(sqrt(2)*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) - sqrt(2)*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) + 3*sqrt(2)*log(c
os(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) - 3*sqrt(2)*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*sqrt(2)*sin(5/2*d*x + 5/2*c) + 16*sqrt(2)*si
n(3/2*d*x + 3/2*c) + 10*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(3*d*x + 3*c) + 60*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2
)*sin(d*x + c))*cos(5/2*d*x + 5/2*c) + 6*(9*(sqrt(2)*log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*s
in(1/2*d*x + 1/2*c) + 1) - sqrt(2)*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) + 3*sqrt(2)*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) - 3*sqrt(2)*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) + 16*sqrt(2
)*sin(3/2*d*x + 3/2*c) + 10*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(2*d*x + 2*c) + 6*(3*sqrt(2)*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) - 3*sqrt(2)*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*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(d*x + c) + 2*(9*(sqrt(2)*
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) - sqrt(2)*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) + 9*(sqrt(2)*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) - sqrt(2)*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) + 10*sqrt(2)*cos(5/2*d*x + 5/2*c) - 16*sqrt(2)*
cos(3/2*d*x + 3/2*c) - 10*sqrt(2)*cos(1/2*d*x + 1/2*c))*sin(3*d*x + 3*c) - 20*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*
sqrt(2)*cos(d*x + c) + sqrt(2))*sin(5/2*d*x + 5/2*c) + 6*(9*(sqrt(2)*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) - sqrt(2)*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) - 16*sqrt(2)*cos(3/2*d*x + 3/2*c) - 10*sqrt(2)*cos(1/2*d*x + 1/2*c))*sin(
2*d*x + 2*c) + 32*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(3/2*d*x + 3/2*c) + 3*sqrt(2)*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) - 3*sqrt(2)*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) + 20*sqrt(2)*sin(1/2*d*x + 1/2*c))*sin(4/5*arctan2(sin(5/2*d*x + 5/2
*c), cos(5/2*d*x + 5/2*c)))^2 + 96*(sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(
d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x +
c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x +
3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 6*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x
+ c))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3/5*arctan2(sin(5/2*d*x + 5/2*c), cos(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))) + 9*(3*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 + 3*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt
(2)*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 - 96*sqr
t(2)*cos(3/2*d*x + 3/2*c)*sin(d*x + c) - 60*sqrt(2)*cos(1/2*d*x + 1/2*c)*sin(d*x + c) + 2*(9*(sqrt(2)*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) - sqrt(2)*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) + 9*(sqrt(2)*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) - sqrt(2)*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) + 3*sqrt(2)*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) - 3*sqrt(2)*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*sqrt(2)*sin(5/2*d*x + 5/2*c) + 16*sqrt(2)*sin(3/2*d*x + 3/2*c) + 10*sqrt(2)*sin(1/
2*d*x + 1/2*c))*cos(3*d*x + 3*c) + 60*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*cos(5/2*d*x + 5/2*c) +
6*(9*(sqrt(2)*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) - sqrt(2)*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) + 3*sqrt(2)*log(c
os(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) - 3*sqrt(2)*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) + 16*sqrt(2)*sin(3/2*d*x + 3/2*c) + 10*sqrt(2)*si
n(1/2*d*x + 1/2*c))*cos(2*d*x + 2*c) + 6*(3*sqrt(2)*log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*si
n(1/2*d*x + 1/2*c) + 1) - 3*sqrt(2)*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*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(d*x + c) + 2*(9*(sqrt(2)*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) - sqrt(2)*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) + 9*(sqrt(2)*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) - sqrt(2)*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) + 10*sqrt(2)*cos(5/2*d*x + 5/2*c) - 16*sqrt(2)*cos(3/2*d*x + 3/2*c) - 10*sqrt(2)*cos(
1/2*d*x + 1/2*c))*sin(3*d*x + 3*c) - 20*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(5/
2*d*x + 5/2*c) + 6*(9*(sqrt(2)*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) - sqrt(2)*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) -
16*sqrt(2)*cos(3/2*d*x + 3/2*c) - 10*sqrt(2)*cos(1/2*d*x + 1/2*c))*sin(2*d*x + 2*c) + 32*(3*sqrt(2)*cos(d*x +
c) + sqrt(2))*sin(3/2*d*x + 3/2*c) + 3*sqrt(2)*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) - 3*sqrt(2)*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) + 20*sqrt(2)*sin(1/2*d*x + 1/2*c))*sin(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 - 96*sqr
t(2)*cos(3/2*d*x + 3/2*c)*sin(d*x + c) - 60*sqrt(2)*cos(1/2*d*x + 1/2*c)*sin(d*x + c) + 2*(9*(sqrt(2)*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) - sqrt(2)*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) + 9*(sqrt(2)*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) - sqrt(2)*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*(18*sqrt(2)*cos(2*d*x + 2*c) + 18*sqrt(2)*cos(d*x +
c) + sqrt(2))*sin(5/2*d*x + 5/2*c) + 3*sqrt(2)*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) - 3*sqrt(2)*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) + 16*sqrt(2)*sin(3/2*d*x + 3/2*c) + 10*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(3*d*x + 3*c) + 60*(sqrt(2)*sin(2*
d*x + 2*c) + sqrt(2)*sin(d*x + c))*cos(5/2*d*x + 5/2*c) + 6*(9*(sqrt(2)*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) - sqrt(2)*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) + 3*sqrt(2)*log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*si
n(1/2*d*x + 1/2*c) + 1) - 3*sqrt(2)*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) + 16*sqrt(2)*sin(3/2*d*x + 3/2*c) + 10*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(2*d*x + 2*c) + 6*(3*sqrt(2)*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) - 3*sqrt(2)*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*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(d*x +
c) + 2*(3*(sqrt(2)*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) - sqrt(2)
*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) + 2*sqrt(2)*sin(5/2*d*x + 5
/2*c))*cos(3*d*x + 3*c)^2 + 27*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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)
- sqrt(2)*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 +
3*(sqrt(2)*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) - sqrt(2)*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) + 2*sqrt(2)*sin(5/2*d*x + 5/2*c))*s
in(3*d*x + 3*c)^2 + 27*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2
)*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 - 96*sqrt(
2)*cos(3/2*d*x + 3/2*c)*sin(d*x + c) - 60*sqrt(2)*cos(1/2*d*x + 1/2*c)*sin(d*x + c) + 2*(9*(sqrt(2)*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) - sqrt(2)*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) + 9*(sqrt(2)*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) - sqrt(2)*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*(9*sqrt(2)*cos(2*d*x + 2*c) + 9*sqrt(2)*cos(d*x + c)
- 2*sqrt(2))*sin(5/2*d*x + 5/2*c) + 3*sqrt(2)*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) - 3*sqrt(2)*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
) + 16*sqrt(2)*sin(3/2*d*x + 3/2*c) + 10*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(3*d*x + 3*c) + 60*(sqrt(2)*sin(2*d*
x + 2*c) + sqrt(2)*sin(d*x + c))*cos(5/2*d*x + 5/2*c) + 6*(9*(sqrt(2)*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) - sqrt(2)*log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*si
n(1/2*d*x + 1/2*c) + 1))*cos(d*x + c) + 3*sqrt(2)*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) - 3*sqrt(2)*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) + 16*sqrt(2)*sin(3/2*d*x + 3/2*c) + 10*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(2*d*x + 2*c) + 6*(3*sqrt(2)*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) - 3*sqrt(2)*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*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(d*x + c)
+ 3*(3*(sqrt(2)*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) - sqrt(2)*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(3*d*x + 3*c)^2 + 27*(sqr
t(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 + 3*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 - 96*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(d*x + c) - 60*sqrt(2)*cos(1/2*d*x + 1/2*
c)*sin(d*x + c) + 2*(9*(sqrt(2)*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) - sqrt(2)*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) + 9*(sqrt(2)*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) - sqrt(2)*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) + 3*sqrt(2)*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) - 3*sqrt(2)*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*sqrt(2)*sin(5/2*d*x + 5/2*c) + 16*sqrt(2)*
sin(3/2*d*x + 3/2*c) + 10*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(3*d*x + 3*c) + 60*(sqrt(2)*sin(2*d*x + 2*c) + sqrt
(2)*sin(d*x + c))*cos(5/2*d*x + 5/2*c) + 6*(9*(sqrt(2)*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) - sqrt(2)*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) + 3*sqrt(2)*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) - 3*sqrt(2)*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) + 16*sqrt
(2)*sin(3/2*d*x + 3/2*c) + 10*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(2*d*x + 2*c) + 6*(3*sqrt(2)*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) - 3*sqrt(2)*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*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(d*x + c) + 2*(9*(sqrt(2
)*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) - sqrt(2)*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) + 9*(sqrt(2)*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) - sqrt(2)*log(cos(1/2*d*x + 1/2*c)^2 + si
n(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*sin(d*x + c) + 10*sqrt(2)*cos(5/2*d*x + 5/2*c) - 16*sqrt(2
)*cos(3/2*d*x + 3/2*c) - 10*sqrt(2)*cos(1/2*d*x + 1/2*c))*sin(3*d*x + 3*c) - 20*(3*sqrt(2)*cos(2*d*x + 2*c) +
3*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(5/2*d*x + 5/2*c) + 6*(9*(sqrt(2)*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) - sqrt(2)*log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*s
in(1/2*d*x + 1/2*c) + 1))*sin(d*x + c) - 16*sqrt(2)*cos(3/2*d*x + 3/2*c) - 10*sqrt(2)*cos(1/2*d*x + 1/2*c))*si
n(2*d*x + 2*c) + 32*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(3/2*d*x + 3/2*c) + 3*sqrt(2)*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) - 3*sqrt(2)*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) + 20*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(4/5*arctan2(sin(5/2*d*x + 5
/2*c), cos(5/2*d*x + 5/2*c))) + 3*(3*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt
(2)*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 + 3*(sqr
t(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 - 96*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(d*x + c) -
60*sqrt(2)*cos(1/2*d*x + 1/2*c)*sin(d*x + c) + 2*(9*(sqrt(2)*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) - sqrt(2)*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) + 9*(sqrt(2)*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) - sqrt(2)*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) + 3*sqrt(2)*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) -
3*sqrt(2)*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*sqrt(2)*sin(5
/2*d*x + 5/2*c) + 16*sqrt(2)*sin(3/2*d*x + 3/2*c) + 10*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(3*d*x + 3*c) + 60*(sq
rt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*cos(5/2*d*x + 5/2*c) + 6*(9*(sqrt(2)*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) - sqrt(2)*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) + 3*sqrt(2)*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) - 3*sqrt(2)*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) + 16*sqrt(2)*sin(3/2*d*x + 3/2*c) + 10*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(2*d*x + 2*c) + 6*
(3*sqrt(2)*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) - 3*sqrt(2)*log(c
os(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*sqrt(2)*sin(1/2*d*x + 1/2*c)
)*cos(d*x + c) + 2*(9*(sqrt(2)*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) - sqrt(2)*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) + 9*(sqrt(2)*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) - sqrt(2)*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(d*x + c) + 10*sqrt(2)*cos
(5/2*d*x + 5/2*c) - 16*sqrt(2)*cos(3/2*d*x + 3/2*c) - 10*sqrt(2)*cos(1/2*d*x + 1/2*c))*sin(3*d*x + 3*c) - 20*(
3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(5/2*d*x + 5/2*c) + 6*(9*(sqrt(2)*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) - sqrt(2)*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) - 16*sqrt(2)*cos(3/2*d*x + 3/2*c) - 10*sqr
t(2)*cos(1/2*d*x + 1/2*c))*sin(2*d*x + 2*c) + 32*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(3/2*d*x + 3/2*c) + 3*s
qrt(2)*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) - 3*sqrt(2)*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) + 20*sqrt(2)*sin(1/2*d*x + 1/2*c))*co
s(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 2*(18*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x
+ c))*sin(5/2*d*x + 5/2*c) + 9*(sqrt(2)*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) - sqrt(2)*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) + 9*(sqrt(2)*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) -
sqrt(2)*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) + 10*s
qrt(2)*cos(5/2*d*x + 5/2*c) - 16*sqrt(2)*cos(3/2*d*x + 3/2*c) - 10*sqrt(2)*cos(1/2*d*x + 1/2*c))*sin(3*d*x + 3
*c) + 2*(27*sqrt(2)*cos(2*d*x + 2*c)^2 + 27*sqrt(2)*cos(d*x + c)^2 + 27*sqrt(2)*sin(2*d*x + 2*c)^2 + 54*sqrt(2
)*sin(2*d*x + 2*c)*sin(d*x + c) + 27*sqrt(2)*sin(d*x + c)^2 + 6*(9*sqrt(2)*cos(d*x + c) - 2*sqrt(2))*cos(2*d*x
+ 2*c) - 12*sqrt(2)*cos(d*x + c) - 7*sqrt(2))*sin(5/2*d*x + 5/2*c) + 6*(9*(sqrt(2)*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) - sqrt(2)*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) - 16*sqrt(2)*cos(3/2*d*x + 3/2*c) - 10*sqrt(2)*cos(1/2*d*x
+ 1/2*c))*sin(2*d*x + 2*c) + 32*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(3/2*d*x + 3/2*c) - 16*(sqrt(2)*cos(3*d
*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)
*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2
*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*
d*x + 2*c) + 6*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c) + s
qrt(2))*sin(3/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) - 6*(sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(
2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 +
18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(
2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 6*(sqrt(
2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(1/5*arcta
n2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 3*sqrt(2)*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) - 3*sqrt(2)*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) + 20*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))
) + 6*(3*(sqrt(2)*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) - sqrt(2)*
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) + 2*sqrt(2)*sin(5/2*d*x + 5/
2*c))*cos(3*d*x + 3*c)^2 + 27*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) -
sqrt(2)*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 + 3
*(sqrt(2)*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) - sqrt(2)*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) + 2*sqrt(2)*sin(5/2*d*x + 5/2*c))*si
n(3*d*x + 3*c)^2 + 27*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)
*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 - 96*sqrt(2
)*cos(3/2*d*x + 3/2*c)*sin(d*x + c) - 60*sqrt(2)*cos(1/2*d*x + 1/2*c)*sin(d*x + c) + 2*(9*(sqrt(2)*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) - sqrt(2)*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) + 9*(sqrt(2)*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) - sqrt(2)*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*(9*sqrt(2)*cos(2*d*x + 2*c) + 9*sqrt(2)*cos(d*x + c) -
2*sqrt(2))*sin(5/2*d*x + 5/2*c) + 3*sqrt(2)*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) - 3*sqrt(2)*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)
+ 16*sqrt(2)*sin(3/2*d*x + 3/2*c) + 10*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(3*d*x + 3*c) + 60*(sqrt(2)*sin(2*d*x
+ 2*c) + sqrt(2)*sin(d*x + c))*cos(5/2*d*x + 5/2*c) + 6*(9*(sqrt(2)*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) - sqrt(2)*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) + 3*sqrt(2)*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) - 3*sqrt(2)*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) + 16*sqrt(2)*sin(3/2*d*x + 3/2*c) + 10*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(2*d*x + 2*c) + 6*(3*sqrt(2)*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) - 3*sqrt(2)*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*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(d*x + c)
+ 3*(3*(sqrt(2)*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) - sqrt(2)*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))*cos(3*d*x + 3*c)^2 + 27*(sqrt
(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 + 3*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 - 96*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(d*x + c) - 60*sqrt(2)*cos(1/2*d*x + 1/2*c
)*sin(d*x + c) + 2*(9*(sqrt(2)*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) - sqrt(2)*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) + 9*(sqrt(2)*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) - sqrt(2)*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))*cos(d*x + c) + 3*sqrt(2)*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) - 3*sqrt(2)*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*sqrt(2)*sin(5/2*d*x + 5/2*c) + 16*sqrt(2)*s
in(3/2*d*x + 3/2*c) + 10*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(3*d*x + 3*c) + 60*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(
2)*sin(d*x + c))*cos(5/2*d*x + 5/2*c) + 6*(9*(sqrt(2)*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) - sqrt(2)*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) + 3*sqrt(2)*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) - 3*sqrt(2)*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) + 16*sqrt(
2)*sin(3/2*d*x + 3/2*c) + 10*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(2*d*x + 2*c) + 6*(3*sqrt(2)*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) - 3*sqrt(2)*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*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(d*x + c) + 2*(9*(sqrt(2)
*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) - sqrt(2)*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) + 9*(sqrt(2)*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) - sqrt(2)*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) + 10*sqrt(2)*cos(5/2*d*x + 5/2*c) - 16*sqrt(2)
*cos(3/2*d*x + 3/2*c) - 10*sqrt(2)*cos(1/2*d*x + 1/2*c))*sin(3*d*x + 3*c) - 20*(3*sqrt(2)*cos(2*d*x + 2*c) + 3
*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(5/2*d*x + 5/2*c) + 6*(9*(sqrt(2)*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) - sqrt(2)*log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*si
n(1/2*d*x + 1/2*c) + 1))*sin(d*x + c) - 16*sqrt(2)*cos(3/2*d*x + 3/2*c) - 10*sqrt(2)*cos(1/2*d*x + 1/2*c))*sin
(2*d*x + 2*c) + 32*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(3/2*d*x + 3/2*c) + 3*sqrt(2)*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) - 3*sqrt(2)*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) + 20*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(2/5*arctan2(sin(5/2*d*x + 5/
2*c), cos(5/2*d*x + 5/2*c))) + 2*(18*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(5/2*d*x + 5/2*c) +
9*(sqrt(2)*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) - sqrt(2)*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) + 9*(sqrt(2)*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) - sqrt(2)*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) + 10*sqrt(2)*cos(5/2*d*x + 5/2*c) -
16*sqrt(2)*cos(3/2*d*x + 3/2*c) - 10*sqrt(2)*cos(1/2*d*x + 1/2*c))*sin(3*d*x + 3*c) + 2*(27*sqrt(2)*cos(2*d*x
+ 2*c)^2 + 27*sqrt(2)*cos(d*x + c)^2 + 27*sqrt(2)*sin(2*d*x + 2*c)^2 + 54*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c
) + 27*sqrt(2)*sin(d*x + c)^2 + 6*(9*sqrt(2)*cos(d*x + c) - 2*sqrt(2))*cos(2*d*x + 2*c) - 12*sqrt(2)*cos(d*x +
c) - 7*sqrt(2))*sin(5/2*d*x + 5/2*c) + 6*(9*(sqrt(2)*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) - sqrt(2)*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) - 16*sqrt(2)*cos(3/2*d*x + 3/2*c) - 10*sqrt(2)*cos(1/2*d*x + 1/2*c))*sin(2*d*x + 2*c) +
32*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(3/2*d*x + 3/2*c) - 16*(sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*
d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(
2)*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*
x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 6*(sqrt(2)*sin(2*
d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(3/5*arctan2(sin(5/
2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) - 6*(sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt
(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*s
in(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos
(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 6*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*
sin(d*x + c))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(1/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5
/2*d*x + 5/2*c))) + 3*sqrt(2)*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
) - 3*sqrt(2)*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) + 20*sqrt(2)*s
in(1/2*d*x + 1/2*c))*cos(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 6*(3*(sqrt(2)*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) - sqrt(2)*log(cos(1/2*d*x + 1/2*c)^2 + s
in(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1) + 2*sqrt(2)*sin(5/2*d*x + 5/2*c))*cos(3*d*x + 3*c)^2 + 27*
(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 + 3*(sqrt(2)*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) - sqrt(2)*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) + 2*sqrt(2)*sin(5/2*d*x + 5/2*c))*sin(3*d*x + 3*c)^2 + 27*(sqrt(2)
*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 - 96*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(d*x
+ c) - 60*sqrt(2)*cos(1/2*d*x + 1/2*c)*sin(d*x + c) + 2*(9*(sqrt(2)*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) - sqrt(2)*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) + 9*(sqrt(2)*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) - sqrt(2)*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*(9*sqrt(2)*cos(2*d*x + 2*c) + 9*sqrt(2)*cos(d*x + c) - 2*sqrt(2))*sin(5/2*d*x + 5/2*
c) + 3*sqrt(2)*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) - 3*sqrt(2)*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) + 16*sqrt(2)*sin(3/2*d*x + 3/
2*c) + 10*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(3*d*x + 3*c) + 60*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c)
)*cos(5/2*d*x + 5/2*c) + 6*(9*(sqrt(2)*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) - sqrt(2)*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) + 3*sqrt(2)*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) - 3*sqrt(
2)*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) + 16*sqrt(2)*sin(3/2*d*x
+ 3/2*c) + 10*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(2*d*x + 2*c) + 6*(3*sqrt(2)*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) - 3*sqrt(2)*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*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(d*x + c) + 2*(18*(sqrt(2)*sin(2*d*x + 2
*c) + sqrt(2)*sin(d*x + c))*sin(5/2*d*x + 5/2*c) + 9*(sqrt(2)*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) - sqrt(2)*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) + 9*(sqrt(2)*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) - sqrt(2)*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) + 10*sqrt(2)*cos(5/2*d*x + 5/2*c) - 16*sqrt(2)*cos(3/2*d*x + 3/2*c) - 10*sqrt(2)*cos(1/2*d*x +
1/2*c))*sin(3*d*x + 3*c) + 2*(27*sqrt(2)*cos(2*d*x + 2*c)^2 + 27*sqrt(2)*cos(d*x + c)^2 + 27*sqrt(2)*sin(2*d*x
+ 2*c)^2 + 54*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 27*sqrt(2)*sin(d*x + c)^2 + 6*(9*sqrt(2)*cos(d*x + c) -
2*sqrt(2))*cos(2*d*x + 2*c) - 12*sqrt(2)*cos(d*x + c) - 7*sqrt(2))*sin(5/2*d*x + 5/2*c) + 6*(9*(sqrt(2)*log(c
os(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) - sqrt(2)*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) - 16*sqrt(2)*cos(3/2*d*x + 3/2*c) - 1
0*sqrt(2)*cos(1/2*d*x + 1/2*c))*sin(2*d*x + 2*c) + 32*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(3/2*d*x + 3/2*c)
- 6*(sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x
+ 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2
+ 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x +
c) + sqrt(2))*cos(2*d*x + 2*c) + 6*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*sqrt
(2)*cos(d*x + c) + sqrt(2))*sin(1/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 3*sqrt(2)*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) - 3*sqrt(2)*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) + 20*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(2/5*arctan2(si
n(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 3*((sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9
*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2
*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2)
)*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 6*(sqrt(2)*sin(2*d*x + 2*c) + sqr
t(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(6/5*arctan2(sin(5/2*d*x + 5/2*c),
cos(5/2*d*x + 5/2*c)))^2 + 9*(sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x +
c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) +
9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c)
+ 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 6*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*
sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c
)))^2 + 9*(sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(
3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x +
c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(
d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 6*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) +
6*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + (sqrt(2)*co
s(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sq
rt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*
cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*c
os(2*d*x + 2*c) + 6*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c
) + sqrt(2))*sin(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 9*(sqrt(2)*cos(3*d*x + 3*c)^2 +
9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2
*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) +
3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 6
*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(4/
5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 18*(sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*
x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)
*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x
+ c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 6*(sqrt(2)*sin(2*d*
x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(4/5*arctan2(sin(5/2*
d*x + 5/2*c), cos(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))) + 9*(sqrt(2)
*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9
*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(
2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2)
)*cos(2*d*x + 2*c) + 6*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x
+ c) + sqrt(2))*sin(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + sqrt(2)*cos(3*d*x + 3*c)^2 +
9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2
*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) +
3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 2
*(sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3
*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2
*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c)
+ sqrt(2))*cos(2*d*x + 2*c) + 3*(sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x
+ c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c)
+ 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*
c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 6*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c
))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/
2*c))) + 3*(sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin
(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x
+ c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos
(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 6*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) +
6*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 6*(sqrt(2)*s
in(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(6/5*arctan2(s
in(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 6*(sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9
*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2
*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2)
)*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 3*(sqrt(2)*cos(3*d*x + 3*c)^2 + 9
*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*
c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3
*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 6*
(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2/5
*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 6*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*si
n(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))
) + 6*(sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*
x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^
2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x
+ c) + sqrt(2))*cos(2*d*x + 2*c) + 6*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*sq
rt(2)*cos(d*x + c) + sqrt(2))*cos(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 6*(sqrt(2)*sin(2*
d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*((sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2
*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(
2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c)
+ sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 6*(sqrt(2)*sin(2*d*x + 2
*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(4/5*arctan2(sin(5/2*d*x +
5/2*c), cos(5/2*d*x + 5/2*c))) + (sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d
*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x +
c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x +
3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 6*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x +
c))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*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))) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*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*((sqrt(2)*cos(3*d
*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)
*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2
*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*
d*x + 2*c) + 6*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c) + s
qrt(2))*cos(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 9*(sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqr
t(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2
+ 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqr
t(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 6*(sqr
t(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(4/5*arc
tan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 9*(sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*
c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2
*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) +
sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 6*(sqrt(2)*sin(2*d*x + 2*
c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2/5*arctan2(sin(5/2*d*x +
5/2*c), cos(5/2*d*x + 5/2*c)))^2 + (sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(
d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x +
c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x +
3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 6*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x
+ c))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x +
5/2*c)))^2 + 9*(sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2
)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin
(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2
)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 6*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3
*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 18*(s
qrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)
^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3
*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c) + s
qrt(2))*cos(2*d*x + 2*c) + 6*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*sqrt(2)*co
s(d*x + c) + sqrt(2))*sin(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(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))) + 9*(sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*c
os(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*
x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*
x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 6*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d
*x + c))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*
x + 5/2*c)))^2 + sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2
)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin
(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2
)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 2*(sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*
sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*
c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))
*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 3*(sqrt(2)*cos(3*d*x + 3*c)^2 + 9*
sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c
)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*
sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 6*(
sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(4/5*
arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 3*(sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2
*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(
2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c)
+ sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 6*(sqrt(2)*sin(2*d*x + 2
*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2/5*arctan2(sin(5/2*d*x +
5/2*c), cos(5/2*d*x + 5/2*c))) + 6*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*sqr
t(2)*cos(d*x + c) + sqrt(2))*cos(6/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 6*(sqrt(2)*cos(3*d
*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)
*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2
*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*
d*x + 2*c) + 3*(sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)
*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(
d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)
*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 6*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*
c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 6*(sqrt(
2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(4/5*arcta
n2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 6*(sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2
+ 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x
+ 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqr
t(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 6*(sqrt(2)*sin(2*d*x + 2*c) +
sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2/5*arctan2(sin(5/2*d*x + 5/2*
c), cos(5/2*d*x + 5/2*c))) + 6*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*((sqrt(2
)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 +
9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt
(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2
))*cos(2*d*x + 2*c) + 6*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x
+ c) + sqrt(2))*sin(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + (sqrt(2)*cos(3*d*x + 3*c)^2 +
9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2
*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) +
3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 6
*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*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))) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*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) + 2*(36*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(5/2*d*x + 5/2*c) + 9*(s
qrt(2)*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) - sqrt(2)*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) + 9*(sqrt(2)*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) - sqrt(2)*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) + 10*sqrt(2)*cos(5/2*d*x + 5/2*c) - 16*s
qrt(2)*cos(3/2*d*x + 3/2*c) - 10*sqrt(2)*cos(1/2*d*x + 1/2*c))*sin(3*d*x + 3*c) + 4*(27*sqrt(2)*cos(2*d*x + 2*
c)^2 + 27*sqrt(2)*cos(d*x + c)^2 + 27*sqrt(2)*sin(2*d*x + 2*c)^2 + 54*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) +
27*sqrt(2)*sin(d*x + c)^2 + 3*(18*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) -
2*sqrt(2))*sin(5/2*d*x + 5/2*c) + 6*(9*(sqrt(2)*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) - sqrt(2)*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) - 16*sqrt(2)*cos(3/2*d*x + 3/2*c) - 10*sqrt(2)*cos(1/2*d*x + 1/2*c))*sin(2*d*x + 2*c) + 32*(3*
sqrt(2)*cos(d*x + c) + sqrt(2))*sin(3/2*d*x + 3/2*c) - 2*(6*sqrt(2)*cos(3*d*x + 3*c)^2*cos(5/2*d*x + 5/2*c) +
6*sqrt(2)*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c)^2 + 12*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) +
sqrt(2))*cos(3*d*x + 3*c)*cos(5/2*d*x + 5/2*c) + 36*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*cos(5/2*
d*x + 5/2*c)*sin(3*d*x + 3*c) + 6*(9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + 9*sqrt(2)*sin(2*d
*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 6*(3*sqrt(2)*cos(d*x + c)
+ sqrt(2))*cos(2*d*x + 2*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(5/2*d*x + 5/2*c) - 16*(sqrt(2)*cos(3*d*x +
3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin
(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x
+ 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x
+ 2*c) + 6*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(
2))*cos(3/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) - 6*(sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*c
os(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*
sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*c
os(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 6*(sqrt(2)*s
in(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(1/5*arctan2(s
in(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) - 3*(3*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 + 3*(sqrt(2)*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) - sqrt(2)
*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 + 27*(s
qrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*log(c
os(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) - sqrt(2)*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 - 96*sqrt(2)*cos(3/2*d*x + 3/2*c)*s
in(d*x + c) - 60*sqrt(2)*cos(1/2*d*x + 1/2*c)*sin(d*x + c) + 2*(9*(sqrt(2)*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) - sqrt(2)*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) + 9*(sqrt(2)*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) - sqrt(2)*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) + 3*sqrt(2)*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) - 3*sqrt(2)*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
*sqrt(2)*sin(5/2*d*x + 5/2*c) + 16*sqrt(2)*sin(3/2*d*x + 3/2*c) + 10*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(3*d*x +
3*c) + 60*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*cos(5/2*d*x + 5/2*c) + 6*(9*(sqrt(2)*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) - sqrt(2)*log(cos(1/2*d*x + 1/2*c)^2 + s
in(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))*cos(d*x + c) + 3*sqrt(2)*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) - 3*sqrt(2)*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) + 16*sqrt(2)*sin(3/2*d*x + 3/2*c) + 10*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(2*d
*x + 2*c) + 6*(3*sqrt(2)*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) - 3
*sqrt(2)*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*sqrt(2)*sin(1/
2*d*x + 1/2*c))*cos(d*x + c) + 2*(9*(sqrt(2)*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) - sqrt(2)*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) + 9*(sqrt(2)*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
) - sqrt(2)*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) +
10*sqrt(2)*cos(5/2*d*x + 5/2*c) - 16*sqrt(2)*cos(3/2*d*x + 3/2*c) - 10*sqrt(2)*cos(1/2*d*x + 1/2*c))*sin(3*d*x
+ 3*c) - 20*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(5/2*d*x + 5/2*c) + 6*(9*(sqrt
(2)*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) - sqrt(2)*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) - 16*sqrt(2)*cos(3/2*d*x + 3
/2*c) - 10*sqrt(2)*cos(1/2*d*x + 1/2*c))*sin(2*d*x + 2*c) + 32*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(3/2*d*x
+ 3/2*c) + 3*sqrt(2)*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) - 3*sqr
t(2)*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) + 20*sqrt(2)*sin(1/2*d*
x + 1/2*c))*sin(4/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) - 3*(3*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 + 3*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sq
rt(2)*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 - 96*s
qrt(2)*cos(3/2*d*x + 3/2*c)*sin(d*x + c) - 60*sqrt(2)*cos(1/2*d*x + 1/2*c)*sin(d*x + c) + 2*(9*(sqrt(2)*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) - sqrt(2)*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) + 9*(sqrt(2)*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) - sqrt(2)*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) + 3*sqrt(2)*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) - 3*sqrt(2)*log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*s
in(1/2*d*x + 1/2*c) + 1) - 10*sqrt(2)*sin(5/2*d*x + 5/2*c) + 16*sqrt(2)*sin(3/2*d*x + 3/2*c) + 10*sqrt(2)*sin(
1/2*d*x + 1/2*c))*cos(3*d*x + 3*c) + 60*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*cos(5/2*d*x + 5/2*c)
+ 6*(9*(sqrt(2)*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) - sqrt(2)*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) + 3*sqrt(2)*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) - 3*sqrt(2)*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) + 16*sqrt(2)*sin(3/2*d*x + 3/2*c) + 10*sqrt(2)*
sin(1/2*d*x + 1/2*c))*cos(2*d*x + 2*c) + 6*(3*sqrt(2)*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) - 3*sqrt(2)*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*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(d*x + c) + 2*(9*(sqrt(2)*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) - sqrt(2)*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) + 9*(sqrt(2)*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) - sqrt(2)*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) + 10*sqrt(2)*cos(5/2*d*x + 5/2*c) - 16*sqrt(2)*cos(3/2*d*x + 3/2*c) - 10*sqrt(2)*co
s(1/2*d*x + 1/2*c))*sin(3*d*x + 3*c) - 20*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(
5/2*d*x + 5/2*c) + 6*(9*(sqrt(2)*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) - sqrt(2)*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)
- 16*sqrt(2)*cos(3/2*d*x + 3/2*c) - 10*sqrt(2)*cos(1/2*d*x + 1/2*c))*sin(2*d*x + 2*c) + 32*(3*sqrt(2)*cos(d*x
+ c) + sqrt(2))*sin(3/2*d*x + 3/2*c) + 3*sqrt(2)*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) - 3*sqrt(2)*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) + 20*sqrt(2)*sin(1/2*d*x + 1/2*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))) - 6*(6*sqrt(2)*cos(3*d*x + 3*c)^2*cos(5/2*d*x + 5/2*c) +
6*sqrt(2)*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c)^2 + 12*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) +
sqrt(2))*cos(3*d*x + 3*c)*cos(5/2*d*x + 5/2*c) + 36*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*cos(5/2
*d*x + 5/2*c)*sin(3*d*x + 3*c) + 6*(9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + 9*sqrt(2)*sin(2*
d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 6*(3*sqrt(2)*cos(d*x + c)
+ sqrt(2))*cos(2*d*x + 2*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(5/2*d*x + 5/2*c) - 16*(sqrt(2)*cos(3*d*x
+ 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*si
n(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*
x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x
+ 2*c) + 6*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c) + sqrt
(2))*cos(3/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) - 6*(sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*
cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18
*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*
cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 6*(sqrt(2)*
sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(1/5*arctan2(
sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) - 3*(3*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 + 3*(sqrt(2)*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) - sqrt(2
)*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 + 27*(
sqrt(2)*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) - sqrt(2)*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 + 27*(sqrt(2)*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) - sqrt(2)*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 - 96*sqrt(2)*cos(3/2*d*x + 3/2*c)*
sin(d*x + c) - 60*sqrt(2)*cos(1/2*d*x + 1/2*c)*sin(d*x + c) + 2*(9*(sqrt(2)*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) - sqrt(2)*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) + 9*(sqrt(2)*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) - sqrt(2)*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) + 3*sqrt(2)*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) - 3*sqrt(2)*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) - 1
0*sqrt(2)*sin(5/2*d*x + 5/2*c) + 16*sqrt(2)*sin(3/2*d*x + 3/2*c) + 10*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(3*d*x
+ 3*c) + 60*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*cos(5/2*d*x + 5/2*c) + 6*(9*(sqrt(2)*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) - sqrt(2)*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) + 3*sqrt(2)*log(cos(1/2*d*x + 1/2*c)^2 + si
n(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - 3*sqrt(2)*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) + 16*sqrt(2)*sin(3/2*d*x + 3/2*c) + 10*sqrt(2)*sin(1/2*d*x + 1/2*c))*cos(2*
d*x + 2*c) + 6*(3*sqrt(2)*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) -
3*sqrt(2)*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*sqrt(2)*sin(1
/2*d*x + 1/2*c))*cos(d*x + c) + 2*(9*(sqrt(2)*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) - sqrt(2)*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) + 9*(sqrt(2)*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) - sqrt(2)*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) +
10*sqrt(2)*cos(5/2*d*x + 5/2*c) - 16*sqrt(2)*cos(3/2*d*x + 3/2*c) - 10*sqrt(2)*cos(1/2*d*x + 1/2*c))*sin(3*d*
x + 3*c) - 20*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(5/2*d*x + 5/2*c) + 6*(9*(sqr
t(2)*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) - sqrt(2)*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) - 16*sqrt(2)*cos(3/2*d*x +
3/2*c) - 10*sqrt(2)*cos(1/2*d*x + 1/2*c))*sin(2*d*x + 2*c) + 32*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(3/2*d*x
+ 3/2*c) + 3*sqrt(2)*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) - 3*sq
rt(2)*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) + 20*sqrt(2)*sin(1/2*d
*x + 1/2*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))) - 32*(sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x
+ c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c)
+ 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c
) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 3*(sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*
x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)
*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x
+ c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 6*(sqrt(2)*sin(2*d*
x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2/5*arctan2(sin(5/2*
d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) + 6*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) +
6*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(3/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) - 36*(sqrt(2)*c
os(3*d*x + 3*c)^2*cos(5/2*d*x + 5/2*c) + sqrt(2)*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c)^2 + 2*(3*sqrt(2)*cos(2*
d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c)*cos(5/2*d*x + 5/2*c) + 6*(sqrt(2)*sin(2*d*x +
2*c) + sqrt(2)*sin(d*x + c))*cos(5/2*d*x + 5/2*c)*sin(3*d*x + 3*c) + (9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)
*cos(d*x + c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x
+ c)^2 + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(5/2*d*x
+ 5/2*c) - (sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*si
n(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x
+ c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*co
s(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 6*(sqrt(2)*sin(2*d*x + 2*c) + sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c)
+ 6*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(1/5*arctan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))))*sin(2/5*arct
an2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c))) - 12*(sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)
^2 + 9*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*sin(2*d
*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*sin(d*x + c)^2 + 2*(3*sqrt(2)*cos(2*d*x + 2*c) + 3*sqrt(2)*cos(d*x + c) + s
qrt(2))*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 6*(sqrt(2)*sin(2*d*x + 2*c)
+ sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 6*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(1/5*arctan2(sin(5/2*d*x + 5/
2*c), cos(5/2*d*x + 5/2*c))) + 3*sqrt(2)*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) - 3*sqrt(2)*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) + 2
0*sqrt(2)*sin(1/2*d*x + 1/2*c))*B*sqrt(a)/(a^2*cos(3*d*x + 3*c)^2 + 9*a^2*cos(2*d*x + 2*c)^2 + 9*a^2*cos(d*x +
c)^2 + a^2*sin(3*d*x + 3*c)^2 + 9*a^2*sin(2*d*x + 2*c)^2 + 18*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 9*a^2*sin(d
*x + c)^2 + 6*a^2*cos(d*x + c) + (a^2*cos(3*d*x + 3*c)^2 + 9*a^2*cos(2*d*x + 2*c)^2 + 9*a^2*cos(d*x + c)^2 + a
^2*sin(3*d*x + 3*c)^2 + 9*a^2*sin(2*d*x + 2*c)^2 + 18*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 9*a^2*sin(d*x + c)^2
+ 6*a^2*cos(d*x + c) + a^2 + 2*(3*a^2*cos(2*d*x + 2*c) + 3*a^2*cos(d*x + c) + a^2)*cos(3*d*x + 3*c) + 6*(3*a^
2*cos(d*x + c) + a^2)*cos(2*d*x + 2*c) + 6*(a^2*sin(2*d*x + 2*c) + 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 + 9*(a^2*cos(3*d*x + 3*c)^2 + 9*a^2*cos(2*d*x + 2*c)^2
+ 9*a^2*cos(d*x + c)^2 + a^2*sin(3*d*x + 3*c)^2 + 9*a^2*sin(2*d*x + 2*c)^2 + 18*a^2*sin(2*d*x + 2*c)*sin(d*x
+ c) + 9*a^2*sin(d*x + c)^2 + 6*a^2*cos(d*x + c) + a^2 + 2*(3*a^2*cos(2*d*x + 2*c) + 3*a^2*cos(d*x + c) + a^2)
*cos(3*d*x + 3*c) + 6*(3*a^2*cos(d*x + c) + a^2)*cos(2*d*x + 2*c) + 6*(a^2*sin(2*d*x + 2*c) + 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 + 9*(a^2*cos(3*d*x + 3*c)^2
+ 9*a^2*cos(2*d*x + 2*c)^2 + 9*a^2*cos(d*x + c)^2 + a^2*sin(3*d*x + 3*c)^2 + 9*a^2*sin(2*d*x + 2*c)^2 + 18*a^
2*sin(2*d*x + 2*c)*sin(d*x + c) + 9*a^2*sin(d*x + c)^2 + 6*a^2*cos(d*x + c) + a^2 + 2*(3*a^2*cos(2*d*x + 2*c)
+ 3*a^2*cos(d*x + c) + a^2)*cos(3*d*x + 3*c) + 6*(3*a^2*cos(d*x + c) + a^2)*cos(2*d*x + 2*c) + 6*(a^2*sin(2*d*
x + 2*c) + 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
+ (a^2*cos(3*d*x + 3*c)^2 + 9*a^2*cos(2*d*x + 2*c)^2 + 9*a^2*cos(d*x + c)^2 + a^2*sin(3*d*x + 3*c)^2 + 9*a^2*s
in(2*d*x + 2*c)^2 + 18*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 9*a^2*sin(d*x + c)^2 + 6*a^2*cos(d*x + c) + a^2 + 2
*(3*a^2*cos(2*d*x + 2*c) + 3*a^2*cos(d*x + c) + a^2)*cos(3*d*x + 3*c) + 6*(3*a^2*cos(d*x + c) + a^2)*cos(2*d*x
+ 2*c) + 6*(a^2*sin(2*d*x + 2*c) + 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 + 9*(a^2*cos(3*d*x + 3*c)^2 + 9*a^2*cos(2*d*x + 2*c)^2 + 9*a^2*cos(d*x + c)^2 + a^2*s
in(3*d*x + 3*c)^2 + 9*a^2*sin(2*d*x + 2*c)^2 + 18*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 9*a^2*sin(d*x + c)^2 + 6
*a^2*cos(d*x + c) + a^2 + 2*(3*a^2*cos(2*d*x + 2*c) + 3*a^2*cos(d*x + c) + a^2)*cos(3*d*x + 3*c) + 6*(3*a^2*co
s(d*x + c) + a^2)*cos(2*d*x + 2*c) + 6*(a^2*sin(2*d*x + 2*c) + a^2*sin(d*x + c))*sin(3*d*x + 3*c))*sin(4/5*arc
tan2(sin(5/2*d*x + 5/2*c), cos(5/2*d*x + 5/2*c)))^2 + 18*(a^2*cos(3*d*x + 3*c)^2 + 9*a^2*cos(2*d*x + 2*c)^2 +
9*a^2*cos(d*x + c)^2 + a^2*sin(3*d*x + 3*c)^2 + 9*a^2*sin(2*d*x + 2*c)^2 + 18*a^2*sin(2*d*x + 2*c)*sin(d*x + c
) + 9*a^2*sin(d*x + c)^2 + 6*a^2*cos(d*x + c) + a^2 + 2*(3*a^2*cos(2*d*x + 2*c) + 3*a^2*cos(d*x + c) + a^2)*co
s(3*d*x + 3*c) + 6*(3*a^2*cos(d*x + c) + a^2)*cos(2*d*x + 2*c) + 6*(a^2*sin(2*d*x + 2*c) + 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)))*sin(2/5*arctan2(sin(5/2*d*x + 5/
2*c), cos(5/2*d*x + 5/2*c))) + 9*(a^2*cos(3*d*x + 3*c)^2 + 9*a^2*cos(2*d*x + 2*c)^2 + 9*a^2*cos(d*x + c)^2 + a
^2*sin(3*d*x + 3*c)^2 + 9*a^2*sin(2*d*x + 2*c)^2 + 18*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 9*a^2*sin(d*x + c)^2
+ 6*a^2*cos(d*x + c) + a^2 + 2*(3*a^2*cos(2*d*x + 2*c) + 3*a^2*cos(d*x + c) + a^2)*cos(3*d*x + 3*c) + 6*(3*a^
2*cos(d*x + c) + a^2)*cos(2*d*x + 2*c) + 6*(a^2*sin(2*d*x + 2*c) + 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 + a^2 + 2*(3*a^2*cos(2*d*x + 2*c) + 3*a^2*cos(d*x + c)
+ a^2)*cos(3*d*x + 3*c) + 6*(3*a^2*cos(d*x + c) + a^2)*cos(2*d*x + 2*c) + 2*(a^2*cos(3*d*x + 3*c)^2 + 9*a^2*c
os(2*d*x + 2*c)^2 + 9*a^2*cos(d*x + c)^2 + a^2*sin(3*d*x + 3*c)^2 + 9*a^2*sin(2*d*x + 2*c)^2 + 18*a^2*sin(2*d*
x + 2*c)*sin(d*x + c) + 9*a^2*sin(d*x + c)^2 + 6*a^2*cos(d*x + c) + a^2 + 2*(3*a^2*cos(2*d*x + 2*c) + 3*a^2*co
s(d*x + c) + a^2)*cos(3*d*x + 3*c) + 6*(3*a^2*cos(d*x + c) + a^2)*cos(2*d*x + 2*c) + 3*(a^2*cos(3*d*x + 3*c)^2
+ 9*a^2*cos(2*d*x + 2*c)^2 + 9*a^2*cos(d*x + c)^2 + a^2*sin(3*d*x + 3*c)^2 + 9*a^2*sin(2*d*x + 2*c)^2 + 18*a^
2*sin(2*d*x + 2*c)*sin(d*x + c) + 9*a^2*sin(d*x + c)^2 + 6*a^2*cos(d*x + c) + a^2 + 2*(3*a^2*cos(2*d*x + 2*c)
+ 3*a^2*cos(d*x + c) + a^2)*cos(3*d*x + 3*c) + 6*(3*a^2*cos(d*x + c) + a^2)*cos(2*d*x + 2*c) + 6*(a^2*sin(2*d*
x + 2*c) + 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))) +
3*(a^2*cos(3*d*x + 3*c)^2 + 9*a^2*cos(2*d*x + 2*c)^2 + 9*a^2*cos(d*x + c)^2 + a^2*sin(3*d*x + 3*c)^2 + 9*a^2*s
in(2*d*x + 2*c)^2 + 18*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 9*a^2*sin(d*x + c)^2 + 6*a^2*cos(d*x + c) + a^2 + 2
*(3*a^2*cos(2*d*x + 2*c) + 3*a^2*cos(d*x + c) + a^2)*cos(3*d*x + 3*c) + 6*(3*a^2*cos(d*x + c) + a^2)*cos(2*d*x
+ 2*c) + 6*(a^2*sin(2*d*x + 2*c) + 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))) + 6*(a^2*sin(2*d*x + 2*c) + 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))) + 6*(a^2*cos(3*d*x + 3*c)^2 + 9*a^2*cos(2*d*x + 2*c)^2 + 9*a^2*cos(d*x +
c)^2 + a^2*sin(3*d*x + 3*c)^2 + 9*a^2*sin(2*d*x + 2*c)^2 + 18*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 9*a^2*sin(d
*x + c)^2 + 6*a^2*cos(d*x + c) + a^2 + 2*(3*a^2*cos(2*d*x + 2*c) + 3*a^2*cos(d*x + c) + a^2)*cos(3*d*x + 3*c)
+ 6*(3*a^2*cos(d*x + c) + a^2)*cos(2*d*x + 2*c) + 3*(a^2*cos(3*d*x + 3*c)^2 + 9*a^2*cos(2*d*x + 2*c)^2 + 9*a^2
*cos(d*x + c)^2 + a^2*sin(3*d*x + 3*c)^2 + 9*a^2*sin(2*d*x + 2*c)^2 + 18*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 9
*a^2*sin(d*x + c)^2 + 6*a^2*cos(d*x + c) + a^2 + 2*(3*a^2*cos(2*d*x + 2*c) + 3*a^2*cos(d*x + c) + a^2)*cos(3*d
*x + 3*c) + 6*(3*a^2*cos(d*x + c) + a^2)*cos(2*d*x + 2*c) + 6*(a^2*sin(2*d*x + 2*c) + 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))) + 6*(a^2*sin(2*d*x + 2*c) + 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))) + 6*(a^2*cos(3*d*x + 3
*c)^2 + 9*a^2*cos(2*d*x + 2*c)^2 + 9*a^2*cos(d*x + c)^2 + a^2*sin(3*d*x + 3*c)^2 + 9*a^2*sin(2*d*x + 2*c)^2 +
18*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 9*a^2*sin(d*x + c)^2 + 6*a^2*cos(d*x + c) + a^2 + 2*(3*a^2*cos(2*d*x +
2*c) + 3*a^2*cos(d*x + c) + a^2)*cos(3*d*x + 3*c) + 6*(3*a^2*cos(d*x + c) + a^2)*cos(2*d*x + 2*c) + 6*(a^2*sin
(2*d*x + 2*c) + 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)
)) + 6*(a^2*sin(2*d*x + 2*c) + a^2*sin(d*x + c))*sin(3*d*x + 3*c) + 6*((a^2*cos(3*d*x + 3*c)^2 + 9*a^2*cos(2*d
*x + 2*c)^2 + 9*a^2*cos(d*x + c)^2 + a^2*sin(3*d*x + 3*c)^2 + 9*a^2*sin(2*d*x + 2*c)^2 + 18*a^2*sin(2*d*x + 2*
c)*sin(d*x + c) + 9*a^2*sin(d*x + c)^2 + 6*a^2*cos(d*x + c) + a^2 + 2*(3*a^2*cos(2*d*x + 2*c) + 3*a^2*cos(d*x
+ c) + a^2)*cos(3*d*x + 3*c) + 6*(3*a^2*cos(d*x + c) + a^2)*cos(2*d*x + 2*c) + 6*(a^2*sin(2*d*x + 2*c) + a^2*s
in(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))) + (a^2*cos(3*d*x +
3*c)^2 + 9*a^2*cos(2*d*x + 2*c)^2 + 9*a^2*cos(d*x + c)^2 + a^2*sin(3*d*x + 3*c)^2 + 9*a^2*sin(2*d*x + 2*c)^2
+ 18*a^2*sin(2*d*x + 2*c)*sin(d*x + c) + 9*a^2*sin(d*x + c)^2 + 6*a^2*cos(d*x + c) + a^2 + 2*(3*a^2*cos(2*d*x
+ 2*c) + 3*a^2*cos(d*x + c) + a^2)*cos(3*d*x + 3*c) + 6*(3*a^2*cos(d*x + c) + a^2)*cos(2*d*x + 2*c) + 6*(a^2*s
in(2*d*x + 2*c) + 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)))) + 4*(32*(cos(3/2*d*x + 3/2*c)*sin(2*d*x +
2*c) + cos(2*d*x + 2*c)*sin(3/2*d*x + 3/2*c) + cos(d*x + c)*sin(3/2*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*sin(d*
x + c))*cos(3*d*x + 3*c)^2 + 96*(cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3/2*d*x + 3/2*c)*sin(2*d*x + 2*
c) - (3*cos(d*x + c) + 1)*sin(3/2*d*x + 3/2*c) - cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) - 3*cos(2*d*x + 2*c)*si
n(3/2*d*x + 3/2*c) + 3*cos(3/2*d*x + 3/2*c)*sin(d*x + c))*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x +
3/2*c)))^2 + 96*(cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3/2*d*x + 3/2*c)*sin(2*d*x + 2*c) - (3*cos(d*x
+ c) + 1)*sin(3/2*d*x + 3/2*c) - cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) - 3*cos(2*d*x + 2*c)*sin(3/2*d*x + 3/2*
c) + 3*cos(3/2*d*x + 3/2*c)*sin(d*x + c))*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 - 32*
(cos(3/2*d*x + 3/2*c)*sin(2*d*x + 2*c) + cos(2*d*x + 2*c)*sin(3/2*d*x + 3/2*c) + cos(d*x + c)*sin(3/2*d*x + 3/
2*c) + cos(3/2*d*x + 3/2*c)*sin(d*x + c))*sin(3*d*x + 3*c)^2 + 32*(6*cos(d*x + c) + 1)*cos(2*d*x + 2*c)*sin(3/
2*d*x + 3/2*c) + 96*cos(2*d*x + 2*c)^2*sin(3/2*d*x + 3/2*c) + 96*sin(2*d*x + 2*c)^2*sin(3/2*d*x + 3/2*c) + 96*
(cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3/2*d*x + 3/2*c)*sin(2*d*x + 2*c) - (3*cos(d*x + c) + 1)*sin(3/
2*d*x + 3/2*c) - cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) - 3*cos(2*d*x + 2*c)*sin(3/2*d*x + 3/2*c) + 3*cos(3/2*d
*x + 3/2*c)*sin(d*x + c))*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 96*(cos(3/2*d*x + 3
/2*c)*sin(3*d*x + 3*c) + 3*cos(3/2*d*x + 3/2*c)*sin(2*d*x + 2*c) - (3*cos(d*x + c) + 1)*sin(3/2*d*x + 3/2*c) -
cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) - 3*cos(2*d*x + 2*c)*sin(3/2*d*x + 3/2*c) + 3*cos(3/2*d*x + 3/2*c)*sin(
d*x + c))*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 32*(2*(3*cos(d*x + c) + 1)*cos(2*d*
x + 2*c)*sin(3/2*d*x + 3/2*c) + 3*cos(2*d*x + 2*c)^2*sin(3/2*d*x + 3/2*c) + 3*sin(2*d*x + 2*c)^2*sin(3/2*d*x +
3/2*c) + 2*(3*sin(3/2*d*x + 3/2*c)*sin(d*x + c) + cos(3/2*d*x + 3/2*c))*sin(2*d*x + 2*c) + (3*cos(d*x + c)^2
+ 3*sin(d*x + c)^2 + 2*cos(d*x + c))*sin(3/2*d*x + 3/2*c) + 2*cos(3/2*d*x + 3/2*c)*sin(d*x + c))*cos(3*d*x + 3
*c) - 4*(6*(sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^3 + (2*(3*cos(2*d*x + 2*c)
+ 3*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + cos(3*d*x + 3*c)^2 + 6*(3*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(
2*d*x + 2*c)^2 + 9*cos(d*x + c)^2 + 9*sin(2*d*x + 2*c)^2 + 18*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sin(d*x + c)^2
+ 6*cos(d*x + c) + 1)*sin(3*d*x + 3*c) + 3*(2*(3*cos(2*d*x + 2*c) + 3*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + co
s(3*d*x + 3*c)^2 + 6*(3*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 9*cos(d*x + c)^2 + 6*(sin(
2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 18*sin(2*d*x + 2*c
)*sin(d*x + c) + 9*sin(d*x + c)^2 + 6*cos(d*x + c) + 1)*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/
2*c))) + 3*(2*(3*cos(2*d*x + 2*c) + 3*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + cos(3*d*x + 3*c)^2 + 6*(3*cos(d*x +
c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 9*cos(d*x + c)^2 + 6*(sin(2*d*x + 2*c) + sin(d*x + c))*sin(
3*d*x + 3*c) + sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 18*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sin(d*x + c)^2
+ 6*cos(d*x + c) + 1)*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))) - 4*(8*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 72*cos(2*d*x + 2*c)^2*sin
(3/2*d*x + 3/2*c) - 144*cos(2*d*x + 2*c)*cos(d*x + c)*sin(3/2*d*x + 3/2*c) - 8*sin(3*d*x + 3*c)^2*sin(3/2*d*x
+ 3/2*c) - 72*sin(2*d*x + 2*c)^2*sin(3/2*d*x + 3/2*c) - 16*(3*cos(3/2*d*x + 3/2*c)*sin(2*d*x + 2*c) + 3*cos(3/
2*d*x + 3/2*c)*sin(d*x + c) - sin(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c) - 48*(cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*
c) + 3*cos(3/2*d*x + 3/2*c)*sin(2*d*x + 2*c) - (3*cos(d*x + c) + 1)*sin(3/2*d*x + 3/2*c) - cos(3*d*x + 3*c)*si
n(3/2*d*x + 3/2*c) - 3*cos(2*d*x + 2*c)*sin(3/2*d*x + 3/2*c) + 3*cos(3/2*d*x + 3/2*c)*sin(d*x + c))*cos(2/3*ar
ctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 16*(cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 3*sin(2*d*x +
2*c)*sin(3/2*d*x + 3/2*c) + 3*sin(3/2*d*x + 3/2*c)*sin(d*x + c) + cos(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c) - 48
*(3*sin(3/2*d*x + 3/2*c)*sin(d*x + c) + cos(3/2*d*x + 3/2*c))*sin(2*d*x + 2*c) - 8*(9*cos(d*x + c)^2 + 9*sin(d
*x + c)^2 - 1)*sin(3/2*d*x + 3/2*c) - 48*cos(3/2*d*x + 3/2*c)*sin(d*x + c) + 3*(2*(3*cos(2*d*x + 2*c) + 3*cos(
d*x + c) + 1)*cos(3*d*x + 3*c) + cos(3*d*x + 3*c)^2 + 6*(3*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x +
2*c)^2 + 9*cos(d*x + c)^2 + 6*(sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + sin(3*d*x + 3*c)^2 + 9*sin(
2*d*x + 2*c)^2 + 18*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sin(d*x + c)^2 + 6*cos(d*x + c) + 1)*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))) - 4*(8
*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 72*cos(2*d*x + 2*c)^2*sin(3/2*d*x + 3/2*c) - 144*cos(2*d*x + 2*c)*c
os(d*x + c)*sin(3/2*d*x + 3/2*c) - 8*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) - 72*sin(2*d*x + 2*c)^2*sin(3/2*d
*x + 3/2*c) - 16*(3*cos(3/2*d*x + 3/2*c)*sin(2*d*x + 2*c) + 3*cos(3/2*d*x + 3/2*c)*sin(d*x + c) - sin(3/2*d*x
+ 3/2*c))*cos(3*d*x + 3*c) - 16*(cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 3*sin(2*d*x + 2*c)*sin(3/2*d*x + 3/2*
c) + 3*sin(3/2*d*x + 3/2*c)*sin(d*x + c) + cos(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c) - 48*(3*sin(3/2*d*x + 3/2*c)
*sin(d*x + c) + cos(3/2*d*x + 3/2*c))*sin(2*d*x + 2*c) - 8*(9*cos(d*x + c)^2 + 9*sin(d*x + c)^2 - 1)*sin(3/2*d
*x + 3/2*c) - 48*cos(3/2*d*x + 3/2*c)*sin(d*x + c) + 3*(2*(3*cos(2*d*x + 2*c) + 3*cos(d*x + c) + 1)*cos(3*d*x
+ 3*c) + cos(3*d*x + 3*c)^2 + 6*(3*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 9*cos(d*x + c)^
2 + 6*(sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 18*sin(
2*d*x + 2*c)*sin(d*x + c) + 9*sin(d*x + c)^2 + 6*cos(d*x + c) + 1)*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))) + 4*(6*(sin(2*d*x + 2*c) + sin
(d*x + c))*sin(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^3 + (2*(3*cos(2*d*x + 2*c) + 3*cos(d*x + c) + 1)*cos(3*d*x +
3*c) + cos(3*d*x + 3*c)^2 + 6*(3*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 9*cos(d*x + c)^2
+ 9*sin(2*d*x + 2*c)^2 + 18*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sin(d*x + c)^2 + 6*cos(d*x + c) + 1)*sin(3*d*x +
3*c))*cos(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + (2*(3*cos(2*d*x + 2*c) + 3*cos(d*x + c)
+ 2)*cos(3*d*x + 3*c)^3 + cos(3*d*x + 3*c)^4 + 6*(sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c)^3 + sin(3*
d*x + 3*c)^4 + 3*(6*(cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 3*cos(2*d*x + 2*c)^2 + 3*cos(d*x + c)^2 + 3*sin(2*d*
x + 2*c)^2 + 6*sin(2*d*x + 2*c)*sin(d*x + c) + 3*sin(d*x + c)^2 + 6*cos(d*x + c) + 2)*cos(3*d*x + 3*c)^2 + 9*(
2*(3*cos(2*d*x + 2*c) + 3*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + cos(3*d*x + 3*c)^2 + 6*(3*cos(d*x + c) + 1)*cos
(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 9*cos(d*x + c)^2 + 6*(sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c)
+ sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 18*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sin(d*x + c)^2 + 6*cos(d*x
+ c) + 1)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 9*(2*(3*cos(2*d*x + 2*c) + 3*cos(d
*x + c) + 1)*cos(3*d*x + 3*c) + cos(3*d*x + 3*c)^2 + 6*(3*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2
*c)^2 + 9*cos(d*x + c)^2 + 6*(sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + sin(3*d*x + 3*c)^2 + 9*sin(2
*d*x + 2*c)^2 + 18*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sin(d*x + c)^2 + 6*cos(d*x + c) + 1)*cos(2/3*arctan2(sin(
3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + (2*(3*cos(2*d*x + 2*c) + 3*cos(d*x + c) + 2)*cos(3*d*x + 3*c) + 2
*cos(3*d*x + 3*c)^2 + 6*(3*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 9*cos(d*x + c)^2 + 9*si
n(2*d*x + 2*c)^2 + 18*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sin(d*x + c)^2 + 6*cos(d*x + c) + 2)*sin(3*d*x + 3*c)^
2 + 9*(2*(3*cos(2*d*x + 2*c) + 3*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + cos(3*d*x + 3*c)^2 + 6*(3*cos(d*x + c) +
1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 9*cos(d*x + c)^2 + 6*(sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x
+ 3*c) + sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 18*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sin(d*x + c)^2 + 6*
cos(d*x + c) + 1)*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 9*(2*(3*cos(2*d*x + 2*c) +
3*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + cos(3*d*x + 3*c)^2 + 6*(3*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*
d*x + 2*c)^2 + 9*cos(d*x + c)^2 + 6*(sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + sin(3*d*x + 3*c)^2 +
9*sin(2*d*x + 2*c)^2 + 18*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sin(d*x + c)^2 + 6*cos(d*x + c) + 1)*sin(2/3*arcta
n2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 2*(9*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x +
2*c)^2 + 9*cos(d*x + c)^2 + 9*sin(2*d*x + 2*c)^2 + 18*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sin(d*x + c)^2 + 9*co
s(d*x + c) + 2)*cos(3*d*x + 3*c) + 6*(3*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 9*cos(d*x
+ c)^2 + 6*(3*(2*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c)^2 + cos(3*d*x + 3*c)^3 + (cos(3*d*x +
3*c) + 1)*sin(3*d*x + 3*c)^2 + 3*(2*(3*cos(d*x + c) + 2)*cos(2*d*x + 2*c) + 3*cos(2*d*x + 2*c)^2 + 3*cos(d*x
+ c)^2 + 3*sin(2*d*x + 2*c)^2 + 6*sin(2*d*x + 2*c)*sin(d*x + c) + 3*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*cos(3
*d*x + 3*c) + 6*(3*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 9*cos(d*x + c)^2 + 3*(2*(3*cos(
2*d*x + 2*c) + 3*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + cos(3*d*x + 3*c)^2 + 6*(3*cos(d*x + c) + 1)*cos(2*d*x +
2*c) + 9*cos(2*d*x + 2*c)^2 + 9*cos(d*x + c)^2 + 6*(sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + sin(3*
d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 18*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sin(d*x + c)^2 + 6*cos(d*x + c) + 1
)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 6*((sin(2*d*x + 2*c) + sin(d*x + c))*cos(3*d*
x + 3*c) + sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 9*sin(2*d*x + 2*c)^2 + 18*sin(2*d*x + 2*c)*sin(
d*x + c) + 9*sin(d*x + c)^2 + 6*cos(d*x + c) + 1)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))
+ 6*(3*(2*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c)^2 + cos(3*d*x + 3*c)^3 + (cos(3*d*x + 3*c)
+ 1)*sin(3*d*x + 3*c)^2 + 3*(2*(3*cos(d*x + c) + 2)*cos(2*d*x + 2*c) + 3*cos(2*d*x + 2*c)^2 + 3*cos(d*x + c)^2
+ 3*sin(2*d*x + 2*c)^2 + 6*sin(2*d*x + 2*c)*sin(d*x + c) + 3*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*cos(3*d*x +
3*c) + 6*(3*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 9*cos(d*x + c)^2 + 6*((sin(2*d*x + 2*
c) + sin(d*x + c))*cos(3*d*x + 3*c) + sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 9*sin(2*d*x + 2*c)^2
+ 18*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sin(d*x + c)^2 + 6*cos(d*x + c) + 1)*cos(2/3*arctan2(sin(3/2*d*x + 3/2
*c), cos(3/2*d*x + 3/2*c))) + 6*((sin(2*d*x + 2*c) + sin(d*x + c))*cos(3*d*x + 3*c)^2 + 2*(sin(2*d*x + 2*c) +
sin(d*x + c))*cos(3*d*x + 3*c) + sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 9*sin(2*d*x + 2*c)^2 + 18
*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sin(d*x + c)^2 + 6*(6*(sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c)^2
+ sin(3*d*x + 3*c)^3 + (2*(3*cos(2*d*x + 2*c) + 3*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + cos(3*d*x + 3*c)^2 + 6*
(3*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 9*cos(d*x + c)^2 + 9*sin(2*d*x + 2*c)^2 + 18*si
n(2*d*x + 2*c)*sin(d*x + c) + 9*sin(d*x + c)^2 + 6*cos(d*x + c) + 1)*sin(3*d*x + 3*c) + 3*(2*(3*cos(2*d*x + 2*
c) + 3*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + cos(3*d*x + 3*c)^2 + 6*(3*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*c
os(2*d*x + 2*c)^2 + 9*cos(d*x + c)^2 + 6*(sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + sin(3*d*x + 3*c)
^2 + 9*sin(2*d*x + 2*c)^2 + 18*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sin(d*x + c)^2 + 6*cos(d*x + c) + 1)*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))) + 6*(6*(sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^3 + (2*(3*cos(2*d*x + 2*c)
+ 3*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + cos(3*d*x + 3*c)^2 + 6*(3*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos
(2*d*x + 2*c)^2 + 9*cos(d*x + c)^2 + 9*sin(2*d*x + 2*c)^2 + 18*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sin(d*x + c)^
2 + 6*cos(d*x + c) + 1)*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))) + 6*cos
(d*x + 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) - (
2*(3*cos(2*d*x + 2*c) + 3*cos(d*x + c) + 2)*cos(3*d*x + 3*c)^3 + cos(3*d*x + 3*c)^4 + 6*(sin(2*d*x + 2*c) + si
n(d*x + c))*sin(3*d*x + 3*c)^3 + sin(3*d*x + 3*c)^4 + 3*(6*(cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 3*cos(2*d*x +
2*c)^2 + 3*cos(d*x + c)^2 + 3*sin(2*d*x + 2*c)^2 + 6*sin(2*d*x + 2*c)*sin(d*x + c) + 3*sin(d*x + c)^2 + 6*cos
(d*x + c) + 2)*cos(3*d*x + 3*c)^2 + 9*(2*(3*cos(2*d*x + 2*c) + 3*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + cos(3*d*
x + 3*c)^2 + 6*(3*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 9*cos(d*x + c)^2 + 6*(sin(2*d*x
+ 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 18*sin(2*d*x + 2*c)*sin(
d*x + c) + 9*sin(d*x + c)^2 + 6*cos(d*x + c) + 1)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))
^2 + 9*(2*(3*cos(2*d*x + 2*c) + 3*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + cos(3*d*x + 3*c)^2 + 6*(3*cos(d*x + c)
+ 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 9*cos(d*x + c)^2 + 6*(sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*
x + 3*c) + sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 18*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sin(d*x + c)^2 + 6
*cos(d*x + c) + 1)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + (2*(3*cos(2*d*x + 2*c) + 3
*cos(d*x + c) + 2)*cos(3*d*x + 3*c) + 2*cos(3*d*x + 3*c)^2 + 6*(3*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2
*d*x + 2*c)^2 + 9*cos(d*x + c)^2 + 9*sin(2*d*x + 2*c)^2 + 18*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sin(d*x + c)^2
+ 6*cos(d*x + c) + 2)*sin(3*d*x + 3*c)^2 + 9*(2*(3*cos(2*d*x + 2*c) + 3*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + c
os(3*d*x + 3*c)^2 + 6*(3*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 9*cos(d*x + c)^2 + 6*(sin
(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 18*sin(2*d*x + 2*
c)*sin(d*x + c) + 9*sin(d*x + c)^2 + 6*cos(d*x + c) + 1)*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3
/2*c)))^2 + 9*(2*(3*cos(2*d*x + 2*c) + 3*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + cos(3*d*x + 3*c)^2 + 6*(3*cos(d*
x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 9*cos(d*x + c)^2 + 6*(sin(2*d*x + 2*c) + sin(d*x + c))*s
in(3*d*x + 3*c) + sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 18*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sin(d*x + c
)^2 + 6*cos(d*x + c) + 1)*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 2*(9*(2*cos(d*x + c
) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 9*cos(d*x + c)^2 + 9*sin(2*d*x + 2*c)^2 + 18*sin(2*d*x + 2*c)
*sin(d*x + c) + 9*sin(d*x + c)^2 + 9*cos(d*x + c) + 2)*cos(3*d*x + 3*c) + 6*(3*cos(d*x + c) + 1)*cos(2*d*x + 2
*c) + 9*cos(2*d*x + 2*c)^2 + 9*cos(d*x + c)^2 + 6*(3*(2*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c
)^2 + cos(3*d*x + 3*c)^3 + (cos(3*d*x + 3*c) + 1)*sin(3*d*x + 3*c)^2 + 3*(2*(3*cos(d*x + c) + 2)*cos(2*d*x + 2
*c) + 3*cos(2*d*x + 2*c)^2 + 3*cos(d*x + c)^2 + 3*sin(2*d*x + 2*c)^2 + 6*sin(2*d*x + 2*c)*sin(d*x + c) + 3*sin
(d*x + c)^2 + 4*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 6*(3*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2
*c)^2 + 9*cos(d*x + c)^2 + 3*(2*(3*cos(2*d*x + 2*c) + 3*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + cos(3*d*x + 3*c)^
2 + 6*(3*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 9*cos(d*x + c)^2 + 6*(sin(2*d*x + 2*c) +
sin(d*x + c))*sin(3*d*x + 3*c) + sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 18*sin(2*d*x + 2*c)*sin(d*x + c)
+ 9*sin(d*x + c)^2 + 6*cos(d*x + c) + 1)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 6*((si
n(2*d*x + 2*c) + sin(d*x + c))*cos(3*d*x + 3*c) + sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 9*sin(2*
d*x + 2*c)^2 + 18*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sin(d*x + c)^2 + 6*cos(d*x + c) + 1)*cos(4/3*arctan2(sin(3
/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 6*(3*(2*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c)^2 +
cos(3*d*x + 3*c)^3 + (cos(3*d*x + 3*c) + 1)*sin(3*d*x + 3*c)^2 + 3*(2*(3*cos(d*x + c) + 2)*cos(2*d*x + 2*c) +
3*cos(2*d*x + 2*c)^2 + 3*cos(d*x + c)^2 + 3*sin(2*d*x + 2*c)^2 + 6*sin(2*d*x + 2*c)*sin(d*x + c) + 3*sin(d*x +
c)^2 + 4*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 6*(3*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2
+ 9*cos(d*x + c)^2 + 6*((sin(2*d*x + 2*c) + sin(d*x + c))*cos(3*d*x + 3*c) + sin(2*d*x + 2*c) + sin(d*x + c))*
sin(3*d*x + 3*c) + 9*sin(2*d*x + 2*c)^2 + 18*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sin(d*x + c)^2 + 6*cos(d*x + c)
+ 1)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 6*((sin(2*d*x + 2*c) + sin(d*x + c))*cos(
3*d*x + 3*c)^2 + 2*(sin(2*d*x + 2*c) + sin(d*x + c))*cos(3*d*x + 3*c) + sin(2*d*x + 2*c) + sin(d*x + c))*sin(3
*d*x + 3*c) + 9*sin(2*d*x + 2*c)^2 + 18*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sin(d*x + c)^2 + 6*(6*(sin(2*d*x + 2
*c) + sin(d*x + c))*sin(3*d*x + 3*c)^2 + sin(3*d*x + 3*c)^3 + (2*(3*cos(2*d*x + 2*c) + 3*cos(d*x + c) + 1)*cos
(3*d*x + 3*c) + cos(3*d*x + 3*c)^2 + 6*(3*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 9*cos(d*
x + c)^2 + 9*sin(2*d*x + 2*c)^2 + 18*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sin(d*x + c)^2 + 6*cos(d*x + c) + 1)*si
n(3*d*x + 3*c) + 3*(2*(3*cos(2*d*x + 2*c) + 3*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + cos(3*d*x + 3*c)^2 + 6*(3*c
os(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 9*cos(d*x + c)^2 + 6*(sin(2*d*x + 2*c) + sin(d*x +
c))*sin(3*d*x + 3*c) + sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 18*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sin(d*
x + c)^2 + 6*cos(d*x + c) + 1)*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*sin(4/3*arctan2(s
in(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 6*(6*(sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c)^2 + sin(
3*d*x + 3*c)^3 + (2*(3*cos(2*d*x + 2*c) + 3*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + cos(3*d*x + 3*c)^2 + 6*(3*cos
(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 9*cos(d*x + c)^2 + 9*sin(2*d*x + 2*c)^2 + 18*sin(2*d*
x + 2*c)*sin(d*x + c) + 9*sin(d*x + c)^2 + 6*cos(d*x + c) + 1)*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))) + 6*cos(d*x + 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) - 32*(2*(3*cos(d*x + c) + 1)*cos(2*d*x + 2*c)*cos(3/2*d*x + 3/2*c) + 3*cos
(2*d*x + 2*c)^2*cos(3/2*d*x + 3/2*c) + 3*cos(3/2*d*x + 3/2*c)*sin(2*d*x + 2*c)^2 + 2*(cos(2*d*x + 2*c)*cos(3/2
*d*x + 3/2*c) + cos(3/2*d*x + 3/2*c)*cos(d*x + c) - sin(2*d*x + 2*c)*sin(3/2*d*x + 3/2*c) - sin(3/2*d*x + 3/2*
c)*sin(d*x + c))*cos(3*d*x + 3*c) + (3*cos(d*x + c)^2 + 3*sin(d*x + c)^2 + 2*cos(d*x + c))*cos(3/2*d*x + 3/2*c
) + 2*(3*cos(3/2*d*x + 3/2*c)*sin(d*x + c) - sin(3/2*d*x + 3/2*c))*sin(2*d*x + 2*c) - 2*sin(3/2*d*x + 3/2*c)*s
in(d*x + c))*sin(3*d*x + 3*c) + 32*(6*sin(3/2*d*x + 3/2*c)*sin(d*x + c) + cos(3/2*d*x + 3/2*c))*sin(2*d*x + 2*
c) + 32*(3*cos(d*x + c)^2 + 3*sin(d*x + c)^2 + cos(d*x + c))*sin(3/2*d*x + 3/2*c) + 32*cos(3/2*d*x + 3/2*c)*si
n(d*x + c) + 4*(3*(2*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c)^2 + cos(3*d*x + 3*c)^3 + (cos(3*d
*x + 3*c) + 1)*sin(3*d*x + 3*c)^2 + 3*(2*(3*cos(d*x + c) + 2)*cos(2*d*x + 2*c) + 3*cos(2*d*x + 2*c)^2 + 3*cos(
d*x + c)^2 + 3*sin(2*d*x + 2*c)^2 + 6*sin(2*d*x + 2*c)*sin(d*x + c) + 3*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*c
os(3*d*x + 3*c) + 6*(3*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 9*cos(d*x + c)^2 + 3*(2*(3*
cos(2*d*x + 2*c) + 3*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + cos(3*d*x + 3*c)^2 + 6*(3*cos(d*x + c) + 1)*cos(2*d*
x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 9*cos(d*x + c)^2 + 6*(sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + si
n(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 18*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sin(d*x + c)^2 + 6*cos(d*x + c)
+ 1)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 3*(2*(3*cos(2*d*x + 2*c) + 3*cos(d*x + c)
+ 1)*cos(3*d*x + 3*c) + cos(3*d*x + 3*c)^2 + 6*(3*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 +
9*cos(d*x + c)^2 + 6*(sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + sin(3*d*x + 3*c)^2 + 9*sin(2*d*x +
2*c)^2 + 18*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sin(d*x + c)^2 + 6*cos(d*x + c) + 1)*cos(2/3*arctan2(sin(3/2*d*x
+ 3/2*c), cos(3/2*d*x + 3/2*c))) + 6*((sin(2*d*x + 2*c) + sin(d*x + c))*cos(3*d*x + 3*c) + sin(2*d*x + 2*c) +
sin(d*x + c))*sin(3*d*x + 3*c) + 9*sin(2*d*x + 2*c)^2 + 18*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sin(d*x + c)^2 +
6*cos(d*x + c) + 1)*sin(5/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 4*(8*cos(3*d*x + 3*c)^2*co
s(3/2*d*x + 3/2*c) + 48*(3*cos(d*x + c) + 1)*cos(2*d*x + 2*c)*cos(3/2*d*x + 3/2*c) + 72*cos(2*d*x + 2*c)^2*cos
(3/2*d*x + 3/2*c) - 8*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 72*cos(3/2*d*x + 3/2*c)*sin(2*d*x + 2*c)^2 + 1
44*cos(3/2*d*x + 3/2*c)*sin(2*d*x + 2*c)*sin(d*x + c) + 16*((3*cos(d*x + c) + 1)*cos(3/2*d*x + 3/2*c) + 3*cos(
2*d*x + 2*c)*cos(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c) + 8*(9*cos(d*x + c)^2 + 9*sin(d*x + c)^2 + 6*cos(d*x + c)
+ 1)*cos(3/2*d*x + 3/2*c) - 3*(2*(3*cos(2*d*x + 2*c) + 3*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + cos(3*d*x + 3*c)
^2 + 6*(3*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 9*cos(d*x + c)^2 + 6*(sin(2*d*x + 2*c) +
sin(d*x + c))*sin(3*d*x + 3*c) + sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 18*sin(2*d*x + 2*c)*sin(d*x + c)
+ 9*sin(d*x + c)^2 + 6*cos(d*x + c) + 1)*cos(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 16*((
3*cos(d*x + c) + 1)*sin(3/2*d*x + 3/2*c) + cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 3*cos(2*d*x + 2*c)*sin(3/2*
d*x + 3/2*c))*sin(3*d*x + 3*c) - 48*(cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*cos(3/2*d*x + 3/2*c)*sin(2*d*x
+ 2*c) - (3*cos(d*x + c) + 1)*sin(3/2*d*x + 3/2*c) - cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) - 3*cos(2*d*x + 2*c
)*sin(3/2*d*x + 3/2*c) + 3*cos(3/2*d*x + 3/2*c)*sin(d*x + 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))) - 4*(8*cos(3*d*x + 3*c)^2*cos(3/2*d
*x + 3/2*c) + 48*(3*cos(d*x + c) + 1)*cos(2*d*x + 2*c)*cos(3/2*d*x + 3/2*c) + 72*cos(2*d*x + 2*c)^2*cos(3/2*d*
x + 3/2*c) - 8*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 72*cos(3/2*d*x + 3/2*c)*sin(2*d*x + 2*c)^2 + 144*cos(
3/2*d*x + 3/2*c)*sin(2*d*x + 2*c)*sin(d*x + c) + 16*((3*cos(d*x + c) + 1)*cos(3/2*d*x + 3/2*c) + 3*cos(2*d*x +
2*c)*cos(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c) + 8*(9*cos(d*x + c)^2 + 9*sin(d*x + c)^2 + 6*cos(d*x + c) + 1)*co
s(3/2*d*x + 3/2*c) - 3*(2*(3*cos(2*d*x + 2*c) + 3*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + cos(3*d*x + 3*c)^2 + 6*
(3*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 9*cos(d*x + c)^2 + 6*(sin(2*d*x + 2*c) + sin(d*
x + c))*sin(3*d*x + 3*c) + sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 18*sin(2*d*x + 2*c)*sin(d*x + c) + 9*si
n(d*x + c)^2 + 6*cos(d*x + c) + 1)*cos(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 16*((3*cos(d
*x + c) + 1)*sin(3/2*d*x + 3/2*c) + cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 3*cos(2*d*x + 2*c)*sin(3/2*d*x + 3
/2*c))*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))) - 4*(3*(2*cos(2*d*x + 2*
c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c)^2 + cos(3*d*x + 3*c)^3 + (cos(3*d*x + 3*c) + 1)*sin(3*d*x + 3*c)^2 +
3*(2*(3*cos(d*x + c) + 2)*cos(2*d*x + 2*c) + 3*cos(2*d*x + 2*c)^2 + 3*cos(d*x + c)^2 + 3*sin(2*d*x + 2*c)^2 +
6*sin(2*d*x + 2*c)*sin(d*x + c) + 3*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 6*(3*cos(d*x + c)
+ 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 9*cos(d*x + c)^2 + 6*((sin(2*d*x + 2*c) + sin(d*x + c))*cos(3*
d*x + 3*c) + sin(2*d*x + 2*c) + sin(d*x + c))*sin(3*d*x + 3*c) + 9*sin(2*d*x + 2*c)^2 + 18*sin(2*d*x + 2*c)*si
n(d*x + c) + 9*sin(d*x + c)^2 + 6*cos(d*x + c) + 1)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)
)))*A/((sqrt(2)*a*cos(3*d*x + 3*c)^4 + sqrt(2)*a*sin(3*d*x + 3*c)^4 + 2*(3*sqrt(2)*a*cos(2*d*x + 2*c) + 3*sqrt
(2)*a*cos(d*x + c) + 2*sqrt(2)*a)*cos(3*d*x + 3*c)^3 + 6*(sqrt(2)*a*sin(2*d*x + 2*c) + sqrt(2)*a*sin(d*x + c))
*sin(3*d*x + 3*c)^3 + 9*sqrt(2)*a*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*a*cos(d*x + c)^2 + 9*sqrt(2)*a*sin(2*d*x + 2*
c)^2 + 18*sqrt(2)*a*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*a*sin(d*x + c)^2 + 3*(3*sqrt(2)*a*cos(2*d*x + 2*
c)^2 + 3*sqrt(2)*a*cos(d*x + c)^2 + 3*sqrt(2)*a*sin(2*d*x + 2*c)^2 + 6*sqrt(2)*a*sin(2*d*x + 2*c)*sin(d*x + c)
+ 3*sqrt(2)*a*sin(d*x + c)^2 + 6*sqrt(2)*a*cos(d*x + c) + 6*(sqrt(2)*a*cos(d*x + c) + sqrt(2)*a)*cos(2*d*x +
2*c) + 2*sqrt(2)*a)*cos(3*d*x + 3*c)^2 + 9*(sqrt(2)*a*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*a*cos(2*d*x + 2*c)^2 + 9*
sqrt(2)*a*cos(d*x + c)^2 + sqrt(2)*a*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*a*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*a*sin(2*
d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*a*sin(d*x + c)^2 + 6*sqrt(2)*a*cos(d*x + c) + 2*(3*sqrt(2)*a*cos(2*d*x + 2
*c) + 3*sqrt(2)*a*cos(d*x + c) + sqrt(2)*a)*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*a*cos(d*x + c) + sqrt(2)*a)*cos(2*
d*x + 2*c) + 6*(sqrt(2)*a*sin(2*d*x + 2*c) + sqrt(2)*a*sin(d*x + c))*sin(3*d*x + 3*c) + sqrt(2)*a)*cos(4/3*arc
tan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 9*(sqrt(2)*a*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*a*cos(2*d*x
+ 2*c)^2 + 9*sqrt(2)*a*cos(d*x + c)^2 + sqrt(2)*a*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*a*sin(2*d*x + 2*c)^2 + 18*sqr
t(2)*a*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*a*sin(d*x + c)^2 + 6*sqrt(2)*a*cos(d*x + c) + 2*(3*sqrt(2)*a*
cos(2*d*x + 2*c) + 3*sqrt(2)*a*cos(d*x + c) + sqrt(2)*a)*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*a*cos(d*x + c) + sqrt
(2)*a)*cos(2*d*x + 2*c) + 6*(sqrt(2)*a*sin(2*d*x + 2*c) + sqrt(2)*a*sin(d*x + c))*sin(3*d*x + 3*c) + sqrt(2)*a
)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + (2*sqrt(2)*a*cos(3*d*x + 3*c)^2 + 9*sqrt(2)
*a*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*a*cos(d*x + c)^2 + 9*sqrt(2)*a*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*a*sin(2*d*x +
2*c)*sin(d*x + c) + 9*sqrt(2)*a*sin(d*x + c)^2 + 6*sqrt(2)*a*cos(d*x + c) + 2*(3*sqrt(2)*a*cos(2*d*x + 2*c) +
3*sqrt(2)*a*cos(d*x + c) + 2*sqrt(2)*a)*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*a*cos(d*x + c) + sqrt(2)*a)*cos(2*d*x
+ 2*c) + 2*sqrt(2)*a)*sin(3*d*x + 3*c)^2 + 9*(sqrt(2)*a*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*a*cos(2*d*x + 2*c)^2 +
9*sqrt(2)*a*cos(d*x + c)^2 + sqrt(2)*a*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*a*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*a*sin
(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*a*sin(d*x + c)^2 + 6*sqrt(2)*a*cos(d*x + c) + 2*(3*sqrt(2)*a*cos(2*d*x
+ 2*c) + 3*sqrt(2)*a*cos(d*x + c) + sqrt(2)*a)*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*a*cos(d*x + c) + sqrt(2)*a)*cos
(2*d*x + 2*c) + 6*(sqrt(2)*a*sin(2*d*x + 2*c) + sqrt(2)*a*sin(d*x + c))*sin(3*d*x + 3*c) + sqrt(2)*a)*sin(4/3*
arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 9*(sqrt(2)*a*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*a*cos(2*d
*x + 2*c)^2 + 9*sqrt(2)*a*cos(d*x + c)^2 + sqrt(2)*a*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*a*sin(2*d*x + 2*c)^2 + 18*
sqrt(2)*a*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*a*sin(d*x + c)^2 + 6*sqrt(2)*a*cos(d*x + c) + 2*(3*sqrt(2)
*a*cos(2*d*x + 2*c) + 3*sqrt(2)*a*cos(d*x + c) + sqrt(2)*a)*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*a*cos(d*x + c) + s
qrt(2)*a)*cos(2*d*x + 2*c) + 6*(sqrt(2)*a*sin(2*d*x + 2*c) + sqrt(2)*a*sin(d*x + c))*sin(3*d*x + 3*c) + sqrt(2
)*a)*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 6*sqrt(2)*a*cos(d*x + c) + 2*(9*sqrt(2)*
a*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*a*cos(d*x + c)^2 + 9*sqrt(2)*a*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*a*sin(2*d*x +
2*c)*sin(d*x + c) + 9*sqrt(2)*a*sin(d*x + c)^2 + 9*sqrt(2)*a*cos(d*x + c) + 9*(2*sqrt(2)*a*cos(d*x + c) + sqrt
(2)*a)*cos(2*d*x + 2*c) + 2*sqrt(2)*a)*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*a*cos(d*x + c) + sqrt(2)*a)*cos(2*d*x +
2*c) + 6*(sqrt(2)*a*cos(3*d*x + 3*c)^3 + 9*sqrt(2)*a*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*a*cos(d*x + c)^2 + 9*sqrt
(2)*a*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*a*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*a*sin(d*x + c)^2 + 3*(2*sqrt
(2)*a*cos(2*d*x + 2*c) + 2*sqrt(2)*a*cos(d*x + c) + sqrt(2)*a)*cos(3*d*x + 3*c)^2 + (sqrt(2)*a*cos(3*d*x + 3*c
) + sqrt(2)*a)*sin(3*d*x + 3*c)^2 + 6*sqrt(2)*a*cos(d*x + c) + 3*(3*sqrt(2)*a*cos(2*d*x + 2*c)^2 + 3*sqrt(2)*a
*cos(d*x + c)^2 + 3*sqrt(2)*a*sin(2*d*x + 2*c)^2 + 6*sqrt(2)*a*sin(2*d*x + 2*c)*sin(d*x + c) + 3*sqrt(2)*a*sin
(d*x + c)^2 + 4*sqrt(2)*a*cos(d*x + c) + 2*(3*sqrt(2)*a*cos(d*x + c) + 2*sqrt(2)*a)*cos(2*d*x + 2*c) + sqrt(2)
*a)*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*a*cos(d*x + c) + sqrt(2)*a)*cos(2*d*x + 2*c) + 3*(sqrt(2)*a*cos(3*d*x + 3*
c)^2 + 9*sqrt(2)*a*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*a*cos(d*x + c)^2 + sqrt(2)*a*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*
a*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*a*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*a*sin(d*x + c)^2 + 6*sqrt(2)*a*c
os(d*x + c) + 2*(3*sqrt(2)*a*cos(2*d*x + 2*c) + 3*sqrt(2)*a*cos(d*x + c) + sqrt(2)*a)*cos(3*d*x + 3*c) + 6*(3*
sqrt(2)*a*cos(d*x + c) + sqrt(2)*a)*cos(2*d*x + 2*c) + 6*(sqrt(2)*a*sin(2*d*x + 2*c) + sqrt(2)*a*sin(d*x + c))
*sin(3*d*x + 3*c) + sqrt(2)*a)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 6*(sqrt(2)*a*sin
(2*d*x + 2*c) + sqrt(2)*a*sin(d*x + c) + (sqrt(2)*a*sin(2*d*x + 2*c) + sqrt(2)*a*sin(d*x + c))*cos(3*d*x + 3*c
))*sin(3*d*x + 3*c) + sqrt(2)*a)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 6*(sqrt(2)*a*c
os(3*d*x + 3*c)^3 + 9*sqrt(2)*a*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*a*cos(d*x + c)^2 + 9*sqrt(2)*a*sin(2*d*x + 2*c)
^2 + 18*sqrt(2)*a*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*a*sin(d*x + c)^2 + 3*(2*sqrt(2)*a*cos(2*d*x + 2*c)
+ 2*sqrt(2)*a*cos(d*x + c) + sqrt(2)*a)*cos(3*d*x + 3*c)^2 + (sqrt(2)*a*cos(3*d*x + 3*c) + sqrt(2)*a)*sin(3*d
*x + 3*c)^2 + 6*sqrt(2)*a*cos(d*x + c) + 3*(3*sqrt(2)*a*cos(2*d*x + 2*c)^2 + 3*sqrt(2)*a*cos(d*x + c)^2 + 3*sq
rt(2)*a*sin(2*d*x + 2*c)^2 + 6*sqrt(2)*a*sin(2*d*x + 2*c)*sin(d*x + c) + 3*sqrt(2)*a*sin(d*x + c)^2 + 4*sqrt(2
)*a*cos(d*x + c) + 2*(3*sqrt(2)*a*cos(d*x + c) + 2*sqrt(2)*a)*cos(2*d*x + 2*c) + sqrt(2)*a)*cos(3*d*x + 3*c) +
6*(3*sqrt(2)*a*cos(d*x + c) + sqrt(2)*a)*cos(2*d*x + 2*c) + 6*(sqrt(2)*a*sin(2*d*x + 2*c) + sqrt(2)*a*sin(d*x
+ c) + (sqrt(2)*a*sin(2*d*x + 2*c) + sqrt(2)*a*sin(d*x + c))*cos(3*d*x + 3*c))*sin(3*d*x + 3*c) + sqrt(2)*a)*
cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 6*((sqrt(2)*a*sin(2*d*x + 2*c) + sqrt(2)*a*sin(
d*x + c))*cos(3*d*x + 3*c)^2 + sqrt(2)*a*sin(2*d*x + 2*c) + sqrt(2)*a*sin(d*x + c) + 2*(sqrt(2)*a*sin(2*d*x +
2*c) + sqrt(2)*a*sin(d*x + c))*cos(3*d*x + 3*c))*sin(3*d*x + 3*c) + 6*(sqrt(2)*a*sin(3*d*x + 3*c)^3 + 6*(sqrt(
2)*a*sin(2*d*x + 2*c) + sqrt(2)*a*sin(d*x + c))*sin(3*d*x + 3*c)^2 + (sqrt(2)*a*cos(3*d*x + 3*c)^2 + 9*sqrt(2)
*a*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*a*cos(d*x + c)^2 + 9*sqrt(2)*a*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*a*sin(2*d*x +
2*c)*sin(d*x + c) + 9*sqrt(2)*a*sin(d*x + c)^2 + 6*sqrt(2)*a*cos(d*x + c) + 2*(3*sqrt(2)*a*cos(2*d*x + 2*c) +
3*sqrt(2)*a*cos(d*x + c) + sqrt(2)*a)*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*a*cos(d*x + c) + sqrt(2)*a)*cos(2*d*x +
2*c) + sqrt(2)*a)*sin(3*d*x + 3*c) + 3*(sqrt(2)*a*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*a*cos(2*d*x + 2*c)^2 + 9*sqr
t(2)*a*cos(d*x + c)^2 + sqrt(2)*a*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*a*sin(2*d*x + 2*c)^2 + 18*sqrt(2)*a*sin(2*d*x
+ 2*c)*sin(d*x + c) + 9*sqrt(2)*a*sin(d*x + c)^2 + 6*sqrt(2)*a*cos(d*x + c) + 2*(3*sqrt(2)*a*cos(2*d*x + 2*c)
+ 3*sqrt(2)*a*cos(d*x + c) + sqrt(2)*a)*cos(3*d*x + 3*c) + 6*(3*sqrt(2)*a*cos(d*x + c) + sqrt(2)*a)*cos(2*d*x
+ 2*c) + 6*(sqrt(2)*a*sin(2*d*x + 2*c) + sqrt(2)*a*sin(d*x + c))*sin(3*d*x + 3*c) + sqrt(2)*a)*sin(2/3*arctan
2(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))) +
6*(sqrt(2)*a*sin(3*d*x + 3*c)^3 + 6*(sqrt(2)*a*sin(2*d*x + 2*c) + sqrt(2)*a*sin(d*x + c))*sin(3*d*x + 3*c)^2
+ (sqrt(2)*a*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*a*cos(2*d*x + 2*c)^2 + 9*sqrt(2)*a*cos(d*x + c)^2 + 9*sqrt(2)*a*si
n(2*d*x + 2*c)^2 + 18*sqrt(2)*a*sin(2*d*x + 2*c)*sin(d*x + c) + 9*sqrt(2)*a*sin(d*x + c)^2 + 6*sqrt(2)*a*cos(d
*x + c) + 2*(3*sqrt(2)*a*cos(2*d*x + 2*c) + 3*sqrt(2)*a*cos(d*x + c) + sqrt(2)*a)*cos(3*d*x + 3*c) + 6*(3*sqrt
(2)*a*cos(d*x + c) + sqrt(2)*a)*cos(2*d*x + 2*c) + sqrt(2)*a)*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))) + sqrt(2)*a)*sqrt(a)))/d

Giac [B] (verification not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 160 vs. \(2 (72) = 144\).

Time = 0.39 (sec) , antiderivative size = 160, normalized size of antiderivative = 1.84 \[ \int \frac {A+B \cos (c+d x)}{(a+a \cos (c+d x))^{3/2}} \, dx=\frac {\frac {\sqrt {2} {\left (A \sqrt {a} + 3 \, B \sqrt {a}\right )} \log \left (\sin \left (\frac {1}{2} \, d x + \frac {1}{2} \, c\right ) + 1\right )}{a^{2} \mathrm {sgn}\left (\cos \left (\frac {1}{2} \, d x + \frac {1}{2} \, c\right )\right )} - \frac {\sqrt {2} {\left (A \sqrt {a} + 3 \, B \sqrt {a}\right )} \log \left (-\sin \left (\frac {1}{2} \, d x + \frac {1}{2} \, c\right ) + 1\right )}{a^{2} \mathrm {sgn}\left (\cos \left (\frac {1}{2} \, d x + \frac {1}{2} \, c\right )\right )} - \frac {2 \, \sqrt {2} {\left (A \sqrt {a} \sin \left (\frac {1}{2} \, d x + \frac {1}{2} \, c\right ) - B \sqrt {a} \sin \left (\frac {1}{2} \, d x + \frac {1}{2} \, c\right )\right )}}{{\left (\sin \left (\frac {1}{2} \, d x + \frac {1}{2} \, c\right )^{2} - 1\right )} a^{2} \mathrm {sgn}\left (\cos \left (\frac {1}{2} \, d x + \frac {1}{2} \, c\right )\right )}}{8 \, d} \]

[In]

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

[Out]

1/8*(sqrt(2)*(A*sqrt(a) + 3*B*sqrt(a))*log(sin(1/2*d*x + 1/2*c) + 1)/(a^2*sgn(cos(1/2*d*x + 1/2*c))) - sqrt(2)
*(A*sqrt(a) + 3*B*sqrt(a))*log(-sin(1/2*d*x + 1/2*c) + 1)/(a^2*sgn(cos(1/2*d*x + 1/2*c))) - 2*sqrt(2)*(A*sqrt(
a)*sin(1/2*d*x + 1/2*c) - B*sqrt(a)*sin(1/2*d*x + 1/2*c))/((sin(1/2*d*x + 1/2*c)^2 - 1)*a^2*sgn(cos(1/2*d*x +
1/2*c))))/d

Mupad [F(-1)]

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

[In]

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

[Out]

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