\(\int e^{1+4 x+6 x^2+4 x^3+x^4+(-4-12 x-12 x^2-4 x^3) \log ((8+i \pi )^2)+(6+12 x+6 x^2) \log ^2((8+i \pi )^2)+(-4-4 x) \log ^3((8+i \pi )^2)+\log ^4((8+i \pi )^2)} (20+60 x+60 x^2+20 x^3+(-60-120 x-60 x^2) \log ((8+i \pi )^2)+(60+60 x) \log ^2((8+i \pi )^2)-20 \log ^3((8+i \pi )^2)) \, dx\) [7499]
Optimal result
Integrand size = 168, antiderivative size = 21 \[
\int e^{1+4 x+6 x^2+4 x^3+x^4+\left (-4-12 x-12 x^2-4 x^3\right ) \log \left ((8+i \pi )^2\right )+\left (6+12 x+6 x^2\right ) \log ^2\left ((8+i \pi )^2\right )+(-4-4 x) \log ^3\left ((8+i \pi )^2\right )+\log ^4\left ((8+i \pi )^2\right )} \left (20+60 x+60 x^2+20 x^3+\left (-60-120 x-60 x^2\right ) \log \left ((8+i \pi )^2\right )+(60+60 x) \log ^2\left ((8+i \pi )^2\right )-20 \log ^3\left ((8+i \pi )^2\right )\right ) \, dx=5 e^{\left (-1-x+\log \left ((8+i \pi )^2\right )\right )^4}
\]
[Out]
5*exp((2*ln(ln(-exp(4)^2))-1-x)^4)
Rubi [A] (verified)
Time = 0.21 (sec) , antiderivative size = 21, normalized size of antiderivative = 1.00, number of
steps used = 4, number of rules used = 4, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.024, Rules used = {2259, 2258, 12, 2240}
\[
\int e^{1+4 x+6 x^2+4 x^3+x^4+\left (-4-12 x-12 x^2-4 x^3\right ) \log \left ((8+i \pi )^2\right )+\left (6+12 x+6 x^2\right ) \log ^2\left ((8+i \pi )^2\right )+(-4-4 x) \log ^3\left ((8+i \pi )^2\right )+\log ^4\left ((8+i \pi )^2\right )} \left (20+60 x+60 x^2+20 x^3+\left (-60-120 x-60 x^2\right ) \log \left ((8+i \pi )^2\right )+(60+60 x) \log ^2\left ((8+i \pi )^2\right )-20 \log ^3\left ((8+i \pi )^2\right )\right ) \, dx=5 e^{\left (x+1-\log \left ((8+i \pi )^2\right )\right )^4}
\]
[In]
Int[E^(1 + 4*x + 6*x^2 + 4*x^3 + x^4 + (-4 - 12*x - 12*x^2 - 4*x^3)*Log[(8 + I*Pi)^2] + (6 + 12*x + 6*x^2)*Log
[(8 + I*Pi)^2]^2 + (-4 - 4*x)*Log[(8 + I*Pi)^2]^3 + Log[(8 + I*Pi)^2]^4)*(20 + 60*x + 60*x^2 + 20*x^3 + (-60 -
120*x - 60*x^2)*Log[(8 + I*Pi)^2] + (60 + 60*x)*Log[(8 + I*Pi)^2]^2 - 20*Log[(8 + I*Pi)^2]^3),x]
[Out]
5*E^(1 + x - Log[(8 + I*Pi)^2])^4
Rule 12
Int[(a_)*(u_), x_Symbol] :> Dist[a, Int[u, x], x] /; FreeQ[a, x] && !MatchQ[u, (b_)*(v_) /; FreeQ[b, x]]
Rule 2240
Int[(F_)^((a_.) + (b_.)*((c_.) + (d_.)*(x_))^(n_))*((e_.) + (f_.)*(x_))^(m_.), x_Symbol] :> Simp[(e + f*x)^n*(
F^(a + b*(c + d*x)^n)/(b*f*n*(c + d*x)^n*Log[F])), x] /; FreeQ[{F, a, b, c, d, e, f, n}, x] && EqQ[m, n - 1] &
& EqQ[d*e - c*f, 0]
Rule 2258
Int[(F_)^((a_.) + (b_.)*((c_.) + (d_.)*(x_))^(n_))*(u_), x_Symbol] :> Int[ExpandLinearProduct[F^(a + b*(c + d*
x)^n), u, c, d, x], x] /; FreeQ[{F, a, b, c, d, n}, x] && PolynomialQ[u, x]
Rule 2259
Int[(u_.)*(F_)^((a_.) + (b_.)*(v_)), x_Symbol] :> Int[u*F^(a + b*NormalizePowerOfLinear[v, x]), x] /; FreeQ[{F
, a, b}, x] && PolynomialQ[u, x] && PowerOfLinearQ[v, x] && !PowerOfLinearMatchQ[v, x]
Rubi steps \begin{align*}
\text {integral}& = \int e^{\left (1+x-\log \left ((8+i \pi )^2\right )\right )^4} \left (20+60 x+60 x^2+20 x^3+\left (-60-120 x-60 x^2\right ) \log \left ((8+i \pi )^2\right )+(60+60 x) \log ^2\left ((8+i \pi )^2\right )-20 \log ^3\left ((8+i \pi )^2\right )\right ) \, dx \\ & = \int 20 e^{\left (1+x-\log \left ((8+i \pi )^2\right )\right )^4} \left (1+x-\log \left ((8+i \pi )^2\right )\right )^3 \, dx \\ & = 20 \int e^{\left (1+x-\log \left ((8+i \pi )^2\right )\right )^4} \left (1+x-\log \left ((8+i \pi )^2\right )\right )^3 \, dx \\ & = 5 e^{\left (1+x-\log \left ((8+i \pi )^2\right )\right )^4} \\
\end{align*}
Mathematica [F]
\[
\int e^{1+4 x+6 x^2+4 x^3+x^4+\left (-4-12 x-12 x^2-4 x^3\right ) \log \left ((8+i \pi )^2\right )+\left (6+12 x+6 x^2\right ) \log ^2\left ((8+i \pi )^2\right )+(-4-4 x) \log ^3\left ((8+i \pi )^2\right )+\log ^4\left ((8+i \pi )^2\right )} \left (20+60 x+60 x^2+20 x^3+\left (-60-120 x-60 x^2\right ) \log \left ((8+i \pi )^2\right )+(60+60 x) \log ^2\left ((8+i \pi )^2\right )-20 \log ^3\left ((8+i \pi )^2\right )\right ) \, dx=\int e^{1+4 x+6 x^2+4 x^3+x^4+\left (-4-12 x-12 x^2-4 x^3\right ) \log \left ((8+i \pi )^2\right )+\left (6+12 x+6 x^2\right ) \log ^2\left ((8+i \pi )^2\right )+(-4-4 x) \log ^3\left ((8+i \pi )^2\right )+\log ^4\left ((8+i \pi )^2\right )} \left (20+60 x+60 x^2+20 x^3+\left (-60-120 x-60 x^2\right ) \log \left ((8+i \pi )^2\right )+(60+60 x) \log ^2\left ((8+i \pi )^2\right )-20 \log ^3\left ((8+i \pi )^2\right )\right ) \, dx
\]
[In]
Integrate[E^(1 + 4*x + 6*x^2 + 4*x^3 + x^4 + (-4 - 12*x - 12*x^2 - 4*x^3)*Log[(8 + I*Pi)^2] + (6 + 12*x + 6*x^
2)*Log[(8 + I*Pi)^2]^2 + (-4 - 4*x)*Log[(8 + I*Pi)^2]^3 + Log[(8 + I*Pi)^2]^4)*(20 + 60*x + 60*x^2 + 20*x^3 +
(-60 - 120*x - 60*x^2)*Log[(8 + I*Pi)^2] + (60 + 60*x)*Log[(8 + I*Pi)^2]^2 - 20*Log[(8 + I*Pi)^2]^3),x]
[Out]
Integrate[E^(1 + 4*x + 6*x^2 + 4*x^3 + x^4 + (-4 - 12*x - 12*x^2 - 4*x^3)*Log[(8 + I*Pi)^2] + (6 + 12*x + 6*x^
2)*Log[(8 + I*Pi)^2]^2 + (-4 - 4*x)*Log[(8 + I*Pi)^2]^3 + Log[(8 + I*Pi)^2]^4)*(20 + 60*x + 60*x^2 + 20*x^3 +
(-60 - 120*x - 60*x^2)*Log[(8 + I*Pi)^2] + (60 + 60*x)*Log[(8 + I*Pi)^2]^2 - 20*Log[(8 + I*Pi)^2]^3), x]
Maple [B] (verified)
Leaf count of result is larger than twice the leaf count of optimal. \(97\) vs. \(2(20)=40\).
Time = 8.80 (sec) , antiderivative size = 98, normalized size of antiderivative = 4.67
| | |
| method | result | size |
| | |
| norman |
\(5 \,{\mathrm e}^{16 {\ln \left (\ln \left (-{\mathrm e}^{8}\right )\right )}^{4}+8 \left (-4-4 x \right ) {\ln \left (\ln \left (-{\mathrm e}^{8}\right )\right )}^{3}+4 \left (6 x^{2}+12 x +6\right ) {\ln \left (\ln \left (-{\mathrm e}^{8}\right )\right )}^{2}+2 \left (-4 x^{3}-12 x^{2}-12 x -4\right ) \ln \left (\ln \left (-{\mathrm e}^{8}\right )\right )+x^{4}+4 x^{3}+6 x^{2}+4 x +1}\) |
\(98\) |
| parallelrisch |
\(5 \,{\mathrm e}^{16 {\ln \left (\ln \left (-{\mathrm e}^{8}\right )\right )}^{4}+8 \left (-4-4 x \right ) {\ln \left (\ln \left (-{\mathrm e}^{8}\right )\right )}^{3}+4 \left (6 x^{2}+12 x +6\right ) {\ln \left (\ln \left (-{\mathrm e}^{8}\right )\right )}^{2}+2 \left (-4 x^{3}-12 x^{2}-12 x -4\right ) \ln \left (\ln \left (-{\mathrm e}^{8}\right )\right )+x^{4}+4 x^{3}+6 x^{2}+4 x +1}\) |
\(98\) |
| risch |
\(5 \left (i \pi +8\right )^{-8 \left (1+x \right )^{3}} {\mathrm e}^{16 \ln \left (i \pi +8\right )^{4}-32 \ln \left (i \pi +8\right )^{3} x +24 \ln \left (i \pi +8\right )^{2} x^{2}+x^{4}-32 \ln \left (i \pi +8\right )^{3}+48 \ln \left (i \pi +8\right )^{2} x +4 x^{3}+24 \ln \left (i \pi +8\right )^{2}+6 x^{2}+4 x +1}\) |
\(107\) |
| gosper |
\(5 \,{\mathrm e}^{16 {\ln \left (\ln \left (-{\mathrm e}^{8}\right )\right )}^{4}-32 {\ln \left (\ln \left (-{\mathrm e}^{8}\right )\right )}^{3} x +24 {\ln \left (\ln \left (-{\mathrm e}^{8}\right )\right )}^{2} x^{2}-8 \ln \left (\ln \left (-{\mathrm e}^{8}\right )\right ) x^{3}+x^{4}-32 {\ln \left (\ln \left (-{\mathrm e}^{8}\right )\right )}^{3}+48 {\ln \left (\ln \left (-{\mathrm e}^{8}\right )\right )}^{2} x -24 \ln \left (\ln \left (-{\mathrm e}^{8}\right )\right ) x^{2}+4 x^{3}+24 {\ln \left (\ln \left (-{\mathrm e}^{8}\right )\right )}^{2}-24 \ln \left (\ln \left (-{\mathrm e}^{8}\right )\right ) x +6 x^{2}-8 \ln \left (\ln \left (-{\mathrm e}^{8}\right )\right )+4 x +1}\) |
\(146\) |
| | |
|
|
|
|
[In]
int((-160*ln(ln(-exp(4)^2))^3+4*(60*x+60)*ln(ln(-exp(4)^2))^2+2*(-60*x^2-120*x-60)*ln(ln(-exp(4)^2))+20*x^3+60
*x^2+60*x+20)*exp(16*ln(ln(-exp(4)^2))^4+8*(-4-4*x)*ln(ln(-exp(4)^2))^3+4*(6*x^2+12*x+6)*ln(ln(-exp(4)^2))^2+2
*(-4*x^3-12*x^2-12*x-4)*ln(ln(-exp(4)^2))+x^4+4*x^3+6*x^2+4*x+1),x,method=_RETURNVERBOSE)
[Out]
5*exp(16*ln(ln(-exp(4)^2))^4+8*(-4-4*x)*ln(ln(-exp(4)^2))^3+4*(6*x^2+12*x+6)*ln(ln(-exp(4)^2))^2+2*(-4*x^3-12*
x^2-12*x-4)*ln(ln(-exp(4)^2))+x^4+4*x^3+6*x^2+4*x+1)
Fricas [C] (verification not implemented)
Result contains complex when optimal does not.
Time = 0.25 (sec) , antiderivative size = 255, normalized size of antiderivative = 12.14
\[
\int e^{1+4 x+6 x^2+4 x^3+x^4+\left (-4-12 x-12 x^2-4 x^3\right ) \log \left ((8+i \pi )^2\right )+\left (6+12 x+6 x^2\right ) \log ^2\left ((8+i \pi )^2\right )+(-4-4 x) \log ^3\left ((8+i \pi )^2\right )+\log ^4\left ((8+i \pi )^2\right )} \left (20+60 x+60 x^2+20 x^3+\left (-60-120 x-60 x^2\right ) \log \left ((8+i \pi )^2\right )+(60+60 x) \log ^2\left ((8+i \pi )^2\right )-20 \log ^3\left ((8+i \pi )^2\right )\right ) \, dx=5 \, \cosh \left (-x^{4} + 8 \, x^{3} \log \left (i \, \pi + 8\right ) - 24 \, x^{2} \log \left (i \, \pi + 8\right )^{2} + 32 \, x \log \left (i \, \pi + 8\right )^{3} - 16 \, \log \left (i \, \pi + 8\right )^{4} - 4 \, x^{3} + 24 \, x^{2} \log \left (i \, \pi + 8\right ) - 48 \, x \log \left (i \, \pi + 8\right )^{2} + 32 \, \log \left (i \, \pi + 8\right )^{3} - 6 \, x^{2} + 24 \, x \log \left (i \, \pi + 8\right ) - 24 \, \log \left (i \, \pi + 8\right )^{2} - 4 \, x + 8 \, \log \left (i \, \pi + 8\right ) - 1\right ) - 5 \, \sinh \left (-x^{4} + 8 \, x^{3} \log \left (i \, \pi + 8\right ) - 24 \, x^{2} \log \left (i \, \pi + 8\right )^{2} + 32 \, x \log \left (i \, \pi + 8\right )^{3} - 16 \, \log \left (i \, \pi + 8\right )^{4} - 4 \, x^{3} + 24 \, x^{2} \log \left (i \, \pi + 8\right ) - 48 \, x \log \left (i \, \pi + 8\right )^{2} + 32 \, \log \left (i \, \pi + 8\right )^{3} - 6 \, x^{2} + 24 \, x \log \left (i \, \pi + 8\right ) - 24 \, \log \left (i \, \pi + 8\right )^{2} - 4 \, x + 8 \, \log \left (i \, \pi + 8\right ) - 1\right )
\]
[In]
integrate((-160*log(log(-exp(4)^2))^3+4*(60*x+60)*log(log(-exp(4)^2))^2+2*(-60*x^2-120*x-60)*log(log(-exp(4)^2
))+20*x^3+60*x^2+60*x+20)*exp(16*log(log(-exp(4)^2))^4+8*(-4-4*x)*log(log(-exp(4)^2))^3+4*(6*x^2+12*x+6)*log(l
og(-exp(4)^2))^2+2*(-4*x^3-12*x^2-12*x-4)*log(log(-exp(4)^2))+x^4+4*x^3+6*x^2+4*x+1),x, algorithm="fricas")
[Out]
5*cosh(-x^4 + 8*x^3*log(I*pi + 8) - 24*x^2*log(I*pi + 8)^2 + 32*x*log(I*pi + 8)^3 - 16*log(I*pi + 8)^4 - 4*x^3
+ 24*x^2*log(I*pi + 8) - 48*x*log(I*pi + 8)^2 + 32*log(I*pi + 8)^3 - 6*x^2 + 24*x*log(I*pi + 8) - 24*log(I*pi
+ 8)^2 - 4*x + 8*log(I*pi + 8) - 1) - 5*sinh(-x^4 + 8*x^3*log(I*pi + 8) - 24*x^2*log(I*pi + 8)^2 + 32*x*log(I
*pi + 8)^3 - 16*log(I*pi + 8)^4 - 4*x^3 + 24*x^2*log(I*pi + 8) - 48*x*log(I*pi + 8)^2 + 32*log(I*pi + 8)^3 - 6
*x^2 + 24*x*log(I*pi + 8) - 24*log(I*pi + 8)^2 - 4*x + 8*log(I*pi + 8) - 1)
Sympy [F(-1)]
Timed out. \[
\int e^{1+4 x+6 x^2+4 x^3+x^4+\left (-4-12 x-12 x^2-4 x^3\right ) \log \left ((8+i \pi )^2\right )+\left (6+12 x+6 x^2\right ) \log ^2\left ((8+i \pi )^2\right )+(-4-4 x) \log ^3\left ((8+i \pi )^2\right )+\log ^4\left ((8+i \pi )^2\right )} \left (20+60 x+60 x^2+20 x^3+\left (-60-120 x-60 x^2\right ) \log \left ((8+i \pi )^2\right )+(60+60 x) \log ^2\left ((8+i \pi )^2\right )-20 \log ^3\left ((8+i \pi )^2\right )\right ) \, dx=\text {Timed out}
\]
[In]
integrate((-160*ln(ln(-exp(4)**2))**3+4*(60*x+60)*ln(ln(-exp(4)**2))**2+2*(-60*x**2-120*x-60)*ln(ln(-exp(4)**2
))+20*x**3+60*x**2+60*x+20)*exp(16*ln(ln(-exp(4)**2))**4+8*(-4-4*x)*ln(ln(-exp(4)**2))**3+4*(6*x**2+12*x+6)*ln
(ln(-exp(4)**2))**2+2*(-4*x**3-12*x**2-12*x-4)*ln(ln(-exp(4)**2))+x**4+4*x**3+6*x**2+4*x+1),x)
[Out]
Timed out
Maxima [C] (verification not implemented)
Result contains complex when optimal does not.
Time = 0.51 (sec) , antiderivative size = 281, normalized size of antiderivative = 13.38
\[
\int e^{1+4 x+6 x^2+4 x^3+x^4+\left (-4-12 x-12 x^2-4 x^3\right ) \log \left ((8+i \pi )^2\right )+\left (6+12 x+6 x^2\right ) \log ^2\left ((8+i \pi )^2\right )+(-4-4 x) \log ^3\left ((8+i \pi )^2\right )+\log ^4\left ((8+i \pi )^2\right )} \left (20+60 x+60 x^2+20 x^3+\left (-60-120 x-60 x^2\right ) \log \left ((8+i \pi )^2\right )+(60+60 x) \log ^2\left ((8+i \pi )^2\right )-20 \log ^3\left ((8+i \pi )^2\right )\right ) \, dx=\frac {20 \, {\left (\cosh \left (-x^{4} + 8 \, x^{3} \log \left (i \, \pi + 8\right ) - 24 \, x^{2} \log \left (i \, \pi + 8\right )^{2} + 32 \, x \log \left (i \, \pi + 8\right )^{3} - 16 \, \log \left (i \, \pi + 8\right )^{4} - 4 \, x^{3} + 24 \, x^{2} \log \left (i \, \pi + 8\right ) - 48 \, x \log \left (i \, \pi + 8\right )^{2} + 32 \, \log \left (i \, \pi + 8\right )^{3} - 6 \, x^{2} + 24 \, x \log \left (i \, \pi + 8\right ) - 24 \, \log \left (i \, \pi + 8\right )^{2} - 4 \, x - 1\right ) - \sinh \left (-x^{4} + 8 \, x^{3} \log \left (i \, \pi + 8\right ) - 24 \, x^{2} \log \left (i \, \pi + 8\right )^{2} + 32 \, x \log \left (i \, \pi + 8\right )^{3} - 16 \, \log \left (i \, \pi + 8\right )^{4} - 4 \, x^{3} + 24 \, x^{2} \log \left (i \, \pi + 8\right ) - 48 \, x \log \left (i \, \pi + 8\right )^{2} + 32 \, \log \left (i \, \pi + 8\right )^{3} - 6 \, x^{2} + 24 \, x \log \left (i \, \pi + 8\right ) - 24 \, \log \left (i \, \pi + 8\right )^{2} - 4 \, x - 1\right )\right )}}{67108864 i \, \pi + 4 \, \pi ^{8} - 256 i \, \pi ^{7} - 7168 \, \pi ^{6} + 114688 i \, \pi ^{5} + 1146880 \, \pi ^{4} - 7340032 i \, \pi ^{3} - 29360128 \, \pi ^{2} + 67108864}
\]
[In]
integrate((-160*log(log(-exp(4)^2))^3+4*(60*x+60)*log(log(-exp(4)^2))^2+2*(-60*x^2-120*x-60)*log(log(-exp(4)^2
))+20*x^3+60*x^2+60*x+20)*exp(16*log(log(-exp(4)^2))^4+8*(-4-4*x)*log(log(-exp(4)^2))^3+4*(6*x^2+12*x+6)*log(l
og(-exp(4)^2))^2+2*(-4*x^3-12*x^2-12*x-4)*log(log(-exp(4)^2))+x^4+4*x^3+6*x^2+4*x+1),x, algorithm="maxima")
[Out]
20*(cosh(-x^4 + 8*x^3*log(I*pi + 8) - 24*x^2*log(I*pi + 8)^2 + 32*x*log(I*pi + 8)^3 - 16*log(I*pi + 8)^4 - 4*x
^3 + 24*x^2*log(I*pi + 8) - 48*x*log(I*pi + 8)^2 + 32*log(I*pi + 8)^3 - 6*x^2 + 24*x*log(I*pi + 8) - 24*log(I*
pi + 8)^2 - 4*x - 1) - sinh(-x^4 + 8*x^3*log(I*pi + 8) - 24*x^2*log(I*pi + 8)^2 + 32*x*log(I*pi + 8)^3 - 16*lo
g(I*pi + 8)^4 - 4*x^3 + 24*x^2*log(I*pi + 8) - 48*x*log(I*pi + 8)^2 + 32*log(I*pi + 8)^3 - 6*x^2 + 24*x*log(I*
pi + 8) - 24*log(I*pi + 8)^2 - 4*x - 1))/(67108864*I*pi + 4*pi^8 - 256*I*pi^7 - 7168*pi^6 + 114688*I*pi^5 + 11
46880*pi^4 - 7340032*I*pi^3 - 29360128*pi^2 + 67108864)
Giac [B] (verification not implemented)
Leaf count of result is larger than twice the leaf count of optimal. 14865 vs. \(2 (16) = 32\).
Time = 1.54 (sec) , antiderivative size = 14865, normalized size of antiderivative = 707.86
\[
\int e^{1+4 x+6 x^2+4 x^3+x^4+\left (-4-12 x-12 x^2-4 x^3\right ) \log \left ((8+i \pi )^2\right )+\left (6+12 x+6 x^2\right ) \log ^2\left ((8+i \pi )^2\right )+(-4-4 x) \log ^3\left ((8+i \pi )^2\right )+\log ^4\left ((8+i \pi )^2\right )} \left (20+60 x+60 x^2+20 x^3+\left (-60-120 x-60 x^2\right ) \log \left ((8+i \pi )^2\right )+(60+60 x) \log ^2\left ((8+i \pi )^2\right )-20 \log ^3\left ((8+i \pi )^2\right )\right ) \, dx=\text {Too large to display}
\]
[In]
integrate((-160*log(log(-exp(4)^2))^3+4*(60*x+60)*log(log(-exp(4)^2))^2+2*(-60*x^2-120*x-60)*log(log(-exp(4)^2
))+20*x^3+60*x^2+60*x+20)*exp(16*log(log(-exp(4)^2))^4+8*(-4-4*x)*log(log(-exp(4)^2))^3+4*(6*x^2+12*x+6)*log(l
og(-exp(4)^2))^2+2*(-4*x^3-12*x^2-12*x-4)*log(log(-exp(4)^2))+x^4+4*x^3+6*x^2+4*x+1),x, algorithm="giac")
[Out]
5*(pi^8*e^(x^4 - 24*x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*pi)^4 - 4*x^3*log(pi^2 + 64) + 48*x*arctan(1/8*pi)^2*
log(pi^2 + 64) + 6*x^2*log(pi^2 + 64)^2 - 24*arctan(1/8*pi)^2*log(pi^2 + 64)^2 - 4*x*log(pi^2 + 64)^3 + log(pi
^2 + 64)^4 + 4*x^3 - 48*x*arctan(1/8*pi)^2 - 12*x^2*log(pi^2 + 64) + 48*arctan(1/8*pi)^2*log(pi^2 + 64) + 12*x
*log(pi^2 + 64)^2 - 4*log(pi^2 + 64)^3 + 6*x^2 - 24*arctan(1/8*pi)^2 - 12*x*log(pi^2 + 64) + 6*log(pi^2 + 64)^
2 + 4*x + 1)*tan(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*ar
ctan(1/8*pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*p
i))^2*tan(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4*arctan(1/8*pi)*log(pi^2 + 64)^3 - 16*arctan(1/8*pi)^3 + 12*ar
ctan(1/8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi)*log(pi^2 + 64))^2 - pi^8*e^(x^4 - 24*x^2*arctan(1/8*pi)^2 +
16*arctan(1/8*pi)^4 - 4*x^3*log(pi^2 + 64) + 48*x*arctan(1/8*pi)^2*log(pi^2 + 64) + 6*x^2*log(pi^2 + 64)^2 - 2
4*arctan(1/8*pi)^2*log(pi^2 + 64)^2 - 4*x*log(pi^2 + 64)^3 + log(pi^2 + 64)^4 + 4*x^3 - 48*x*arctan(1/8*pi)^2
- 12*x^2*log(pi^2 + 64) + 48*arctan(1/8*pi)^2*log(pi^2 + 64) + 12*x*log(pi^2 + 64)^2 - 4*log(pi^2 + 64)^3 + 6*
x^2 - 24*arctan(1/8*pi)^2 - 12*x*log(pi^2 + 64) + 6*log(pi^2 + 64)^2 + 4*x + 1)*tan(4*x^3*arctan(1/8*pi) - 16*
x*arctan(1/8*pi)^3 - 12*x^2*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^2 + 64)^2 + 12*x^2*arct
an(1/8*pi) - 24*x*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi))^2 - 4*pi^8*e^(x^4 - 24*x^2*arctan(1/8*p
i)^2 + 16*arctan(1/8*pi)^4 - 4*x^3*log(pi^2 + 64) + 48*x*arctan(1/8*pi)^2*log(pi^2 + 64) + 6*x^2*log(pi^2 + 64
)^2 - 24*arctan(1/8*pi)^2*log(pi^2 + 64)^2 - 4*x*log(pi^2 + 64)^3 + log(pi^2 + 64)^4 + 4*x^3 - 48*x*arctan(1/8
*pi)^2 - 12*x^2*log(pi^2 + 64) + 48*arctan(1/8*pi)^2*log(pi^2 + 64) + 12*x*log(pi^2 + 64)^2 - 4*log(pi^2 + 64)
^3 + 6*x^2 - 24*arctan(1/8*pi)^2 - 12*x*log(pi^2 + 64) + 6*log(pi^2 + 64)^2 + 4*x + 1)*tan(4*x^3*arctan(1/8*pi
) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^2 + 64)^2 + 12*x
^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi))*tan(16*arctan(1/8*pi)^3*log(pi^2
+ 64) - 4*arctan(1/8*pi)*log(pi^2 + 64)^3 - 16*arctan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2 - 12*arc
tan(1/8*pi)*log(pi^2 + 64)) - 128*pi^7*e^(x^4 - 24*x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*pi)^4 - 4*x^3*log(pi^2
+ 64) + 48*x*arctan(1/8*pi)^2*log(pi^2 + 64) + 6*x^2*log(pi^2 + 64)^2 - 24*arctan(1/8*pi)^2*log(pi^2 + 64)^2
- 4*x*log(pi^2 + 64)^3 + log(pi^2 + 64)^4 + 4*x^3 - 48*x*arctan(1/8*pi)^2 - 12*x^2*log(pi^2 + 64) + 48*arctan(
1/8*pi)^2*log(pi^2 + 64) + 12*x*log(pi^2 + 64)^2 - 4*log(pi^2 + 64)^3 + 6*x^2 - 24*arctan(1/8*pi)^2 - 12*x*log
(pi^2 + 64) + 6*log(pi^2 + 64)^2 + 4*x + 1)*tan(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arctan(1
/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi)*log
(pi^2 + 64) + 12*x*arctan(1/8*pi))^2*tan(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4*arctan(1/8*pi)*log(pi^2 + 64)^
3 - 16*arctan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi)*log(pi^2 + 64)) - pi^8*e^(x^4
- 24*x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*pi)^4 - 4*x^3*log(pi^2 + 64) + 48*x*arctan(1/8*pi)^2*log(pi^2 + 64)
+ 6*x^2*log(pi^2 + 64)^2 - 24*arctan(1/8*pi)^2*log(pi^2 + 64)^2 - 4*x*log(pi^2 + 64)^3 + log(pi^2 + 64)^4 + 4
*x^3 - 48*x*arctan(1/8*pi)^2 - 12*x^2*log(pi^2 + 64) + 48*arctan(1/8*pi)^2*log(pi^2 + 64) + 12*x*log(pi^2 + 64
)^2 - 4*log(pi^2 + 64)^3 + 6*x^2 - 24*arctan(1/8*pi)^2 - 12*x*log(pi^2 + 64) + 6*log(pi^2 + 64)^2 + 4*x + 1)*t
an(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4*arctan(1/8*pi)*log(pi^2 + 64)^3 - 16*arctan(1/8*pi)^3 + 12*arctan(1/
8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi)*log(pi^2 + 64))^2 - 128*pi^7*e^(x^4 - 24*x^2*arctan(1/8*pi)^2 + 16*
arctan(1/8*pi)^4 - 4*x^3*log(pi^2 + 64) + 48*x*arctan(1/8*pi)^2*log(pi^2 + 64) + 6*x^2*log(pi^2 + 64)^2 - 24*a
rctan(1/8*pi)^2*log(pi^2 + 64)^2 - 4*x*log(pi^2 + 64)^3 + log(pi^2 + 64)^4 + 4*x^3 - 48*x*arctan(1/8*pi)^2 - 1
2*x^2*log(pi^2 + 64) + 48*arctan(1/8*pi)^2*log(pi^2 + 64) + 12*x*log(pi^2 + 64)^2 - 4*log(pi^2 + 64)^3 + 6*x^2
- 24*arctan(1/8*pi)^2 - 12*x*log(pi^2 + 64) + 6*log(pi^2 + 64)^2 + 4*x + 1)*tan(4*x^3*arctan(1/8*pi) - 16*x*a
rctan(1/8*pi)^3 - 12*x^2*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(
1/8*pi) - 24*x*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi))*tan(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4
*arctan(1/8*pi)*log(pi^2 + 64)^3 - 16*arctan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi
)*log(pi^2 + 64))^2 - 1792*pi^6*e^(x^4 - 24*x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*pi)^4 - 4*x^3*log(pi^2 + 64)
+ 48*x*arctan(1/8*pi)^2*log(pi^2 + 64) + 6*x^2*log(pi^2 + 64)^2 - 24*arctan(1/8*pi)^2*log(pi^2 + 64)^2 - 4*x*l
og(pi^2 + 64)^3 + log(pi^2 + 64)^4 + 4*x^3 - 48*x*arctan(1/8*pi)^2 - 12*x^2*log(pi^2 + 64) + 48*arctan(1/8*pi)
^2*log(pi^2 + 64) + 12*x*log(pi^2 + 64)^2 - 4*log(pi^2 + 64)^3 + 6*x^2 - 24*arctan(1/8*pi)^2 - 12*x*log(pi^2 +
64) + 6*log(pi^2 + 64)^2 + 4*x + 1)*tan(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arctan(1/8*pi)*
log(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi)*log(pi^2 +
64) + 12*x*arctan(1/8*pi))^2*tan(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4*arctan(1/8*pi)*log(pi^2 + 64)^3 - 16*
arctan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi)*log(pi^2 + 64))^2 + pi^8*e^(x^4 - 24
*x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*pi)^4 - 4*x^3*log(pi^2 + 64) + 48*x*arctan(1/8*pi)^2*log(pi^2 + 64) + 6*
x^2*log(pi^2 + 64)^2 - 24*arctan(1/8*pi)^2*log(pi^2 + 64)^2 - 4*x*log(pi^2 + 64)^3 + log(pi^2 + 64)^4 + 4*x^3
- 48*x*arctan(1/8*pi)^2 - 12*x^2*log(pi^2 + 64) + 48*arctan(1/8*pi)^2*log(pi^2 + 64) + 12*x*log(pi^2 + 64)^2 -
4*log(pi^2 + 64)^3 + 6*x^2 - 24*arctan(1/8*pi)^2 - 12*x*log(pi^2 + 64) + 6*log(pi^2 + 64)^2 + 4*x + 1) + 128*
pi^7*e^(x^4 - 24*x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*pi)^4 - 4*x^3*log(pi^2 + 64) + 48*x*arctan(1/8*pi)^2*log
(pi^2 + 64) + 6*x^2*log(pi^2 + 64)^2 - 24*arctan(1/8*pi)^2*log(pi^2 + 64)^2 - 4*x*log(pi^2 + 64)^3 + log(pi^2
+ 64)^4 + 4*x^3 - 48*x*arctan(1/8*pi)^2 - 12*x^2*log(pi^2 + 64) + 48*arctan(1/8*pi)^2*log(pi^2 + 64) + 12*x*lo
g(pi^2 + 64)^2 - 4*log(pi^2 + 64)^3 + 6*x^2 - 24*arctan(1/8*pi)^2 - 12*x*log(pi^2 + 64) + 6*log(pi^2 + 64)^2 +
4*x + 1)*tan(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arcta
n(1/8*pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi))
+ 1792*pi^6*e^(x^4 - 24*x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*pi)^4 - 4*x^3*log(pi^2 + 64) + 48*x*arctan(1/8*p
i)^2*log(pi^2 + 64) + 6*x^2*log(pi^2 + 64)^2 - 24*arctan(1/8*pi)^2*log(pi^2 + 64)^2 - 4*x*log(pi^2 + 64)^3 + l
og(pi^2 + 64)^4 + 4*x^3 - 48*x*arctan(1/8*pi)^2 - 12*x^2*log(pi^2 + 64) + 48*arctan(1/8*pi)^2*log(pi^2 + 64) +
12*x*log(pi^2 + 64)^2 - 4*log(pi^2 + 64)^3 + 6*x^2 - 24*arctan(1/8*pi)^2 - 12*x*log(pi^2 + 64) + 6*log(pi^2 +
64)^2 + 4*x + 1)*tan(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arctan(1/8*pi)*log(pi^2 + 64) + 12
*x*arctan(1/8*pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(
1/8*pi))^2 + 128*pi^7*e^(x^4 - 24*x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*pi)^4 - 4*x^3*log(pi^2 + 64) + 48*x*arc
tan(1/8*pi)^2*log(pi^2 + 64) + 6*x^2*log(pi^2 + 64)^2 - 24*arctan(1/8*pi)^2*log(pi^2 + 64)^2 - 4*x*log(pi^2 +
64)^3 + log(pi^2 + 64)^4 + 4*x^3 - 48*x*arctan(1/8*pi)^2 - 12*x^2*log(pi^2 + 64) + 48*arctan(1/8*pi)^2*log(pi^
2 + 64) + 12*x*log(pi^2 + 64)^2 - 4*log(pi^2 + 64)^3 + 6*x^2 - 24*arctan(1/8*pi)^2 - 12*x*log(pi^2 + 64) + 6*l
og(pi^2 + 64)^2 + 4*x + 1)*tan(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4*arctan(1/8*pi)*log(pi^2 + 64)^3 - 16*arc
tan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi)*log(pi^2 + 64)) + 7168*pi^6*e^(x^4 - 24
*x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*pi)^4 - 4*x^3*log(pi^2 + 64) + 48*x*arctan(1/8*pi)^2*log(pi^2 + 64) + 6*
x^2*log(pi^2 + 64)^2 - 24*arctan(1/8*pi)^2*log(pi^2 + 64)^2 - 4*x*log(pi^2 + 64)^3 + log(pi^2 + 64)^4 + 4*x^3
- 48*x*arctan(1/8*pi)^2 - 12*x^2*log(pi^2 + 64) + 48*arctan(1/8*pi)^2*log(pi^2 + 64) + 12*x*log(pi^2 + 64)^2 -
4*log(pi^2 + 64)^3 + 6*x^2 - 24*arctan(1/8*pi)^2 - 12*x*log(pi^2 + 64) + 6*log(pi^2 + 64)^2 + 4*x + 1)*tan(4*
x^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi
^2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi))*tan(16*arctan(1
/8*pi)^3*log(pi^2 + 64) - 4*arctan(1/8*pi)*log(pi^2 + 64)^3 - 16*arctan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2
+ 64)^2 - 12*arctan(1/8*pi)*log(pi^2 + 64)) + 57344*pi^5*e^(x^4 - 24*x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*pi)
^4 - 4*x^3*log(pi^2 + 64) + 48*x*arctan(1/8*pi)^2*log(pi^2 + 64) + 6*x^2*log(pi^2 + 64)^2 - 24*arctan(1/8*pi)^
2*log(pi^2 + 64)^2 - 4*x*log(pi^2 + 64)^3 + log(pi^2 + 64)^4 + 4*x^3 - 48*x*arctan(1/8*pi)^2 - 12*x^2*log(pi^2
+ 64) + 48*arctan(1/8*pi)^2*log(pi^2 + 64) + 12*x*log(pi^2 + 64)^2 - 4*log(pi^2 + 64)^3 + 6*x^2 - 24*arctan(1
/8*pi)^2 - 12*x*log(pi^2 + 64) + 6*log(pi^2 + 64)^2 + 4*x + 1)*tan(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^
3 - 12*x^2*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x
*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi))^2*tan(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4*arctan(1/8*
pi)*log(pi^2 + 64)^3 - 16*arctan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi)*log(pi^2 +
64)) + 1792*pi^6*e^(x^4 - 24*x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*pi)^4 - 4*x^3*log(pi^2 + 64) + 48*x*arctan(
1/8*pi)^2*log(pi^2 + 64) + 6*x^2*log(pi^2 + 64)^2 - 24*arctan(1/8*pi)^2*log(pi^2 + 64)^2 - 4*x*log(pi^2 + 64)^
3 + log(pi^2 + 64)^4 + 4*x^3 - 48*x*arctan(1/8*pi)^2 - 12*x^2*log(pi^2 + 64) + 48*arctan(1/8*pi)^2*log(pi^2 +
64) + 12*x*log(pi^2 + 64)^2 - 4*log(pi^2 + 64)^3 + 6*x^2 - 24*arctan(1/8*pi)^2 - 12*x*log(pi^2 + 64) + 6*log(p
i^2 + 64)^2 + 4*x + 1)*tan(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4*arctan(1/8*pi)*log(pi^2 + 64)^3 - 16*arctan(
1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi)*log(pi^2 + 64))^2 + 57344*pi^5*e^(x^4 - 24*
x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*pi)^4 - 4*x^3*log(pi^2 + 64) + 48*x*arctan(1/8*pi)^2*log(pi^2 + 64) + 6*x
^2*log(pi^2 + 64)^2 - 24*arctan(1/8*pi)^2*log(pi^2 + 64)^2 - 4*x*log(pi^2 + 64)^3 + log(pi^2 + 64)^4 + 4*x^3 -
48*x*arctan(1/8*pi)^2 - 12*x^2*log(pi^2 + 64) + 48*arctan(1/8*pi)^2*log(pi^2 + 64) + 12*x*log(pi^2 + 64)^2 -
4*log(pi^2 + 64)^3 + 6*x^2 - 24*arctan(1/8*pi)^2 - 12*x*log(pi^2 + 64) + 6*log(pi^2 + 64)^2 + 4*x + 1)*tan(4*x
^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^
2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi))*tan(16*arctan(1/
8*pi)^3*log(pi^2 + 64) - 4*arctan(1/8*pi)*log(pi^2 + 64)^3 - 16*arctan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2
+ 64)^2 - 12*arctan(1/8*pi)*log(pi^2 + 64))^2 + 286720*pi^4*e^(x^4 - 24*x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*p
i)^4 - 4*x^3*log(pi^2 + 64) + 48*x*arctan(1/8*pi)^2*log(pi^2 + 64) + 6*x^2*log(pi^2 + 64)^2 - 24*arctan(1/8*pi
)^2*log(pi^2 + 64)^2 - 4*x*log(pi^2 + 64)^3 + log(pi^2 + 64)^4 + 4*x^3 - 48*x*arctan(1/8*pi)^2 - 12*x^2*log(pi
^2 + 64) + 48*arctan(1/8*pi)^2*log(pi^2 + 64) + 12*x*log(pi^2 + 64)^2 - 4*log(pi^2 + 64)^3 + 6*x^2 - 24*arctan
(1/8*pi)^2 - 12*x*log(pi^2 + 64) + 6*log(pi^2 + 64)^2 + 4*x + 1)*tan(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi
)^3 - 12*x^2*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24
*x*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi))^2*tan(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4*arctan(1/
8*pi)*log(pi^2 + 64)^3 - 16*arctan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi)*log(pi^2
+ 64))^2 - 1792*pi^6*e^(x^4 - 24*x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*pi)^4 - 4*x^3*log(pi^2 + 64) + 48*x*arc
tan(1/8*pi)^2*log(pi^2 + 64) + 6*x^2*log(pi^2 + 64)^2 - 24*arctan(1/8*pi)^2*log(pi^2 + 64)^2 - 4*x*log(pi^2 +
64)^3 + log(pi^2 + 64)^4 + 4*x^3 - 48*x*arctan(1/8*pi)^2 - 12*x^2*log(pi^2 + 64) + 48*arctan(1/8*pi)^2*log(pi^
2 + 64) + 12*x*log(pi^2 + 64)^2 - 4*log(pi^2 + 64)^3 + 6*x^2 - 24*arctan(1/8*pi)^2 - 12*x*log(pi^2 + 64) + 6*l
og(pi^2 + 64)^2 + 4*x + 1) - 57344*pi^5*e^(x^4 - 24*x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*pi)^4 - 4*x^3*log(pi^
2 + 64) + 48*x*arctan(1/8*pi)^2*log(pi^2 + 64) + 6*x^2*log(pi^2 + 64)^2 - 24*arctan(1/8*pi)^2*log(pi^2 + 64)^2
- 4*x*log(pi^2 + 64)^3 + log(pi^2 + 64)^4 + 4*x^3 - 48*x*arctan(1/8*pi)^2 - 12*x^2*log(pi^2 + 64) + 48*arctan
(1/8*pi)^2*log(pi^2 + 64) + 12*x*log(pi^2 + 64)^2 - 4*log(pi^2 + 64)^3 + 6*x^2 - 24*arctan(1/8*pi)^2 - 12*x*lo
g(pi^2 + 64) + 6*log(pi^2 + 64)^2 + 4*x + 1)*tan(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arctan(
1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi)*lo
g(pi^2 + 64) + 12*x*arctan(1/8*pi)) - 286720*pi^4*e^(x^4 - 24*x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*pi)^4 - 4*x
^3*log(pi^2 + 64) + 48*x*arctan(1/8*pi)^2*log(pi^2 + 64) + 6*x^2*log(pi^2 + 64)^2 - 24*arctan(1/8*pi)^2*log(pi
^2 + 64)^2 - 4*x*log(pi^2 + 64)^3 + log(pi^2 + 64)^4 + 4*x^3 - 48*x*arctan(1/8*pi)^2 - 12*x^2*log(pi^2 + 64) +
48*arctan(1/8*pi)^2*log(pi^2 + 64) + 12*x*log(pi^2 + 64)^2 - 4*log(pi^2 + 64)^3 + 6*x^2 - 24*arctan(1/8*pi)^2
- 12*x*log(pi^2 + 64) + 6*log(pi^2 + 64)^2 + 4*x + 1)*tan(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x
^2*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan(
1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi))^2 - 57344*pi^5*e^(x^4 - 24*x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*
pi)^4 - 4*x^3*log(pi^2 + 64) + 48*x*arctan(1/8*pi)^2*log(pi^2 + 64) + 6*x^2*log(pi^2 + 64)^2 - 24*arctan(1/8*p
i)^2*log(pi^2 + 64)^2 - 4*x*log(pi^2 + 64)^3 + log(pi^2 + 64)^4 + 4*x^3 - 48*x*arctan(1/8*pi)^2 - 12*x^2*log(p
i^2 + 64) + 48*arctan(1/8*pi)^2*log(pi^2 + 64) + 12*x*log(pi^2 + 64)^2 - 4*log(pi^2 + 64)^3 + 6*x^2 - 24*arcta
n(1/8*pi)^2 - 12*x*log(pi^2 + 64) + 6*log(pi^2 + 64)^2 + 4*x + 1)*tan(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4*a
rctan(1/8*pi)*log(pi^2 + 64)^3 - 16*arctan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi)*
log(pi^2 + 64)) - 1146880*pi^4*e^(x^4 - 24*x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*pi)^4 - 4*x^3*log(pi^2 + 64) +
48*x*arctan(1/8*pi)^2*log(pi^2 + 64) + 6*x^2*log(pi^2 + 64)^2 - 24*arctan(1/8*pi)^2*log(pi^2 + 64)^2 - 4*x*lo
g(pi^2 + 64)^3 + log(pi^2 + 64)^4 + 4*x^3 - 48*x*arctan(1/8*pi)^2 - 12*x^2*log(pi^2 + 64) + 48*arctan(1/8*pi)^
2*log(pi^2 + 64) + 12*x*log(pi^2 + 64)^2 - 4*log(pi^2 + 64)^3 + 6*x^2 - 24*arctan(1/8*pi)^2 - 12*x*log(pi^2 +
64) + 6*log(pi^2 + 64)^2 + 4*x + 1)*tan(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arctan(1/8*pi)*l
og(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi)*log(pi^2 +
64) + 12*x*arctan(1/8*pi))*tan(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4*arctan(1/8*pi)*log(pi^2 + 64)^3 - 16*arc
tan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi)*log(pi^2 + 64)) - 3670016*pi^3*e^(x^4 -
24*x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*pi)^4 - 4*x^3*log(pi^2 + 64) + 48*x*arctan(1/8*pi)^2*log(pi^2 + 64) +
6*x^2*log(pi^2 + 64)^2 - 24*arctan(1/8*pi)^2*log(pi^2 + 64)^2 - 4*x*log(pi^2 + 64)^3 + log(pi^2 + 64)^4 + 4*x
^3 - 48*x*arctan(1/8*pi)^2 - 12*x^2*log(pi^2 + 64) + 48*arctan(1/8*pi)^2*log(pi^2 + 64) + 12*x*log(pi^2 + 64)^
2 - 4*log(pi^2 + 64)^3 + 6*x^2 - 24*arctan(1/8*pi)^2 - 12*x*log(pi^2 + 64) + 6*log(pi^2 + 64)^2 + 4*x + 1)*tan
(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)*log
(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi))^2*tan(16*arc
tan(1/8*pi)^3*log(pi^2 + 64) - 4*arctan(1/8*pi)*log(pi^2 + 64)^3 - 16*arctan(1/8*pi)^3 + 12*arctan(1/8*pi)*log
(pi^2 + 64)^2 - 12*arctan(1/8*pi)*log(pi^2 + 64)) - 286720*pi^4*e^(x^4 - 24*x^2*arctan(1/8*pi)^2 + 16*arctan(1
/8*pi)^4 - 4*x^3*log(pi^2 + 64) + 48*x*arctan(1/8*pi)^2*log(pi^2 + 64) + 6*x^2*log(pi^2 + 64)^2 - 24*arctan(1/
8*pi)^2*log(pi^2 + 64)^2 - 4*x*log(pi^2 + 64)^3 + log(pi^2 + 64)^4 + 4*x^3 - 48*x*arctan(1/8*pi)^2 - 12*x^2*lo
g(pi^2 + 64) + 48*arctan(1/8*pi)^2*log(pi^2 + 64) + 12*x*log(pi^2 + 64)^2 - 4*log(pi^2 + 64)^3 + 6*x^2 - 24*ar
ctan(1/8*pi)^2 - 12*x*log(pi^2 + 64) + 6*log(pi^2 + 64)^2 + 4*x + 1)*tan(16*arctan(1/8*pi)^3*log(pi^2 + 64) -
4*arctan(1/8*pi)*log(pi^2 + 64)^3 - 16*arctan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*p
i)*log(pi^2 + 64))^2 - 3670016*pi^3*e^(x^4 - 24*x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*pi)^4 - 4*x^3*log(pi^2 +
64) + 48*x*arctan(1/8*pi)^2*log(pi^2 + 64) + 6*x^2*log(pi^2 + 64)^2 - 24*arctan(1/8*pi)^2*log(pi^2 + 64)^2 - 4
*x*log(pi^2 + 64)^3 + log(pi^2 + 64)^4 + 4*x^3 - 48*x*arctan(1/8*pi)^2 - 12*x^2*log(pi^2 + 64) + 48*arctan(1/8
*pi)^2*log(pi^2 + 64) + 12*x*log(pi^2 + 64)^2 - 4*log(pi^2 + 64)^3 + 6*x^2 - 24*arctan(1/8*pi)^2 - 12*x*log(pi
^2 + 64) + 6*log(pi^2 + 64)^2 + 4*x + 1)*tan(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arctan(1/8*
pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi)*log(pi
^2 + 64) + 12*x*arctan(1/8*pi))*tan(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4*arctan(1/8*pi)*log(pi^2 + 64)^3 - 1
6*arctan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi)*log(pi^2 + 64))^2 - 7340032*pi^2*e
^(x^4 - 24*x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*pi)^4 - 4*x^3*log(pi^2 + 64) + 48*x*arctan(1/8*pi)^2*log(pi^2
+ 64) + 6*x^2*log(pi^2 + 64)^2 - 24*arctan(1/8*pi)^2*log(pi^2 + 64)^2 - 4*x*log(pi^2 + 64)^3 + log(pi^2 + 64)^
4 + 4*x^3 - 48*x*arctan(1/8*pi)^2 - 12*x^2*log(pi^2 + 64) + 48*arctan(1/8*pi)^2*log(pi^2 + 64) + 12*x*log(pi^2
+ 64)^2 - 4*log(pi^2 + 64)^3 + 6*x^2 - 24*arctan(1/8*pi)^2 - 12*x*log(pi^2 + 64) + 6*log(pi^2 + 64)^2 + 4*x +
1)*tan(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*
pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi))^2*tan
(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4*arctan(1/8*pi)*log(pi^2 + 64)^3 - 16*arctan(1/8*pi)^3 + 12*arctan(1/8*
pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi)*log(pi^2 + 64))^2 + 286720*pi^4*e^(x^4 - 24*x^2*arctan(1/8*pi)^2 + 16
*arctan(1/8*pi)^4 - 4*x^3*log(pi^2 + 64) + 48*x*arctan(1/8*pi)^2*log(pi^2 + 64) + 6*x^2*log(pi^2 + 64)^2 - 24*
arctan(1/8*pi)^2*log(pi^2 + 64)^2 - 4*x*log(pi^2 + 64)^3 + log(pi^2 + 64)^4 + 4*x^3 - 48*x*arctan(1/8*pi)^2 -
12*x^2*log(pi^2 + 64) + 48*arctan(1/8*pi)^2*log(pi^2 + 64) + 12*x*log(pi^2 + 64)^2 - 4*log(pi^2 + 64)^3 + 6*x^
2 - 24*arctan(1/8*pi)^2 - 12*x*log(pi^2 + 64) + 6*log(pi^2 + 64)^2 + 4*x + 1) + 3670016*pi^3*e^(x^4 - 24*x^2*a
rctan(1/8*pi)^2 + 16*arctan(1/8*pi)^4 - 4*x^3*log(pi^2 + 64) + 48*x*arctan(1/8*pi)^2*log(pi^2 + 64) + 6*x^2*lo
g(pi^2 + 64)^2 - 24*arctan(1/8*pi)^2*log(pi^2 + 64)^2 - 4*x*log(pi^2 + 64)^3 + log(pi^2 + 64)^4 + 4*x^3 - 48*x
*arctan(1/8*pi)^2 - 12*x^2*log(pi^2 + 64) + 48*arctan(1/8*pi)^2*log(pi^2 + 64) + 12*x*log(pi^2 + 64)^2 - 4*log
(pi^2 + 64)^3 + 6*x^2 - 24*arctan(1/8*pi)^2 - 12*x*log(pi^2 + 64) + 6*log(pi^2 + 64)^2 + 4*x + 1)*tan(4*x^3*ar
ctan(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^2 + 6
4)^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)) + 7340032*pi^2*e^(x^4
- 24*x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*pi)^4 - 4*x^3*log(pi^2 + 64) + 48*x*arctan(1/8*pi)^2*log(pi^2 + 64)
+ 6*x^2*log(pi^2 + 64)^2 - 24*arctan(1/8*pi)^2*log(pi^2 + 64)^2 - 4*x*log(pi^2 + 64)^3 + log(pi^2 + 64)^4 + 4
*x^3 - 48*x*arctan(1/8*pi)^2 - 12*x^2*log(pi^2 + 64) + 48*arctan(1/8*pi)^2*log(pi^2 + 64) + 12*x*log(pi^2 + 64
)^2 - 4*log(pi^2 + 64)^3 + 6*x^2 - 24*arctan(1/8*pi)^2 - 12*x*log(pi^2 + 64) + 6*log(pi^2 + 64)^2 + 4*x + 1)*t
an(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)*l
og(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi))^2 + 367001
6*pi^3*e^(x^4 - 24*x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*pi)^4 - 4*x^3*log(pi^2 + 64) + 48*x*arctan(1/8*pi)^2*l
og(pi^2 + 64) + 6*x^2*log(pi^2 + 64)^2 - 24*arctan(1/8*pi)^2*log(pi^2 + 64)^2 - 4*x*log(pi^2 + 64)^3 + log(pi^
2 + 64)^4 + 4*x^3 - 48*x*arctan(1/8*pi)^2 - 12*x^2*log(pi^2 + 64) + 48*arctan(1/8*pi)^2*log(pi^2 + 64) + 12*x*
log(pi^2 + 64)^2 - 4*log(pi^2 + 64)^3 + 6*x^2 - 24*arctan(1/8*pi)^2 - 12*x*log(pi^2 + 64) + 6*log(pi^2 + 64)^2
+ 4*x + 1)*tan(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4*arctan(1/8*pi)*log(pi^2 + 64)^3 - 16*arctan(1/8*pi)^3 +
12*arctan(1/8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi)*log(pi^2 + 64)) + 29360128*pi^2*e^(x^4 - 24*x^2*arctan
(1/8*pi)^2 + 16*arctan(1/8*pi)^4 - 4*x^3*log(pi^2 + 64) + 48*x*arctan(1/8*pi)^2*log(pi^2 + 64) + 6*x^2*log(pi^
2 + 64)^2 - 24*arctan(1/8*pi)^2*log(pi^2 + 64)^2 - 4*x*log(pi^2 + 64)^3 + log(pi^2 + 64)^4 + 4*x^3 - 48*x*arct
an(1/8*pi)^2 - 12*x^2*log(pi^2 + 64) + 48*arctan(1/8*pi)^2*log(pi^2 + 64) + 12*x*log(pi^2 + 64)^2 - 4*log(pi^2
+ 64)^3 + 6*x^2 - 24*arctan(1/8*pi)^2 - 12*x*log(pi^2 + 64) + 6*log(pi^2 + 64)^2 + 4*x + 1)*tan(4*x^3*arctan(
1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^2 + 64)^2
+ 12*x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi))*tan(16*arctan(1/8*pi)^3*lo
g(pi^2 + 64) - 4*arctan(1/8*pi)*log(pi^2 + 64)^3 - 16*arctan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2 -
12*arctan(1/8*pi)*log(pi^2 + 64)) + 33554432*pi*e^(x^4 - 24*x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*pi)^4 - 4*x^3
*log(pi^2 + 64) + 48*x*arctan(1/8*pi)^2*log(pi^2 + 64) + 6*x^2*log(pi^2 + 64)^2 - 24*arctan(1/8*pi)^2*log(pi^2
+ 64)^2 - 4*x*log(pi^2 + 64)^3 + log(pi^2 + 64)^4 + 4*x^3 - 48*x*arctan(1/8*pi)^2 - 12*x^2*log(pi^2 + 64) + 4
8*arctan(1/8*pi)^2*log(pi^2 + 64) + 12*x*log(pi^2 + 64)^2 - 4*log(pi^2 + 64)^3 + 6*x^2 - 24*arctan(1/8*pi)^2 -
12*x*log(pi^2 + 64) + 6*log(pi^2 + 64)^2 + 4*x + 1)*tan(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2
*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan(1/
8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi))^2*tan(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4*arctan(1/8*pi)*log(pi
^2 + 64)^3 - 16*arctan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi)*log(pi^2 + 64)) + 73
40032*pi^2*e^(x^4 - 24*x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*pi)^4 - 4*x^3*log(pi^2 + 64) + 48*x*arctan(1/8*pi)
^2*log(pi^2 + 64) + 6*x^2*log(pi^2 + 64)^2 - 24*arctan(1/8*pi)^2*log(pi^2 + 64)^2 - 4*x*log(pi^2 + 64)^3 + log
(pi^2 + 64)^4 + 4*x^3 - 48*x*arctan(1/8*pi)^2 - 12*x^2*log(pi^2 + 64) + 48*arctan(1/8*pi)^2*log(pi^2 + 64) + 1
2*x*log(pi^2 + 64)^2 - 4*log(pi^2 + 64)^3 + 6*x^2 - 24*arctan(1/8*pi)^2 - 12*x*log(pi^2 + 64) + 6*log(pi^2 + 6
4)^2 + 4*x + 1)*tan(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4*arctan(1/8*pi)*log(pi^2 + 64)^3 - 16*arctan(1/8*pi)
^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi)*log(pi^2 + 64))^2 + 33554432*pi*e^(x^4 - 24*x^2*ar
ctan(1/8*pi)^2 + 16*arctan(1/8*pi)^4 - 4*x^3*log(pi^2 + 64) + 48*x*arctan(1/8*pi)^2*log(pi^2 + 64) + 6*x^2*log
(pi^2 + 64)^2 - 24*arctan(1/8*pi)^2*log(pi^2 + 64)^2 - 4*x*log(pi^2 + 64)^3 + log(pi^2 + 64)^4 + 4*x^3 - 48*x*
arctan(1/8*pi)^2 - 12*x^2*log(pi^2 + 64) + 48*arctan(1/8*pi)^2*log(pi^2 + 64) + 12*x*log(pi^2 + 64)^2 - 4*log(
pi^2 + 64)^3 + 6*x^2 - 24*arctan(1/8*pi)^2 - 12*x*log(pi^2 + 64) + 6*log(pi^2 + 64)^2 + 4*x + 1)*tan(4*x^3*arc
tan(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^2 + 64
)^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi))*tan(16*arctan(1/8*pi)^
3*log(pi^2 + 64) - 4*arctan(1/8*pi)*log(pi^2 + 64)^3 - 16*arctan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^
2 - 12*arctan(1/8*pi)*log(pi^2 + 64))^2 + 16777216*e^(x^4 - 24*x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*pi)^4 - 4*
x^3*log(pi^2 + 64) + 48*x*arctan(1/8*pi)^2*log(pi^2 + 64) + 6*x^2*log(pi^2 + 64)^2 - 24*arctan(1/8*pi)^2*log(p
i^2 + 64)^2 - 4*x*log(pi^2 + 64)^3 + log(pi^2 + 64)^4 + 4*x^3 - 48*x*arctan(1/8*pi)^2 - 12*x^2*log(pi^2 + 64)
+ 48*arctan(1/8*pi)^2*log(pi^2 + 64) + 12*x*log(pi^2 + 64)^2 - 4*log(pi^2 + 64)^3 + 6*x^2 - 24*arctan(1/8*pi)^
2 - 12*x*log(pi^2 + 64) + 6*log(pi^2 + 64)^2 + 4*x + 1)*tan(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*
x^2*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan
(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi))^2*tan(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4*arctan(1/8*pi)*log
(pi^2 + 64)^3 - 16*arctan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi)*log(pi^2 + 64))^2
- 7340032*pi^2*e^(x^4 - 24*x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*pi)^4 - 4*x^3*log(pi^2 + 64) + 48*x*arctan(1/
8*pi)^2*log(pi^2 + 64) + 6*x^2*log(pi^2 + 64)^2 - 24*arctan(1/8*pi)^2*log(pi^2 + 64)^2 - 4*x*log(pi^2 + 64)^3
+ log(pi^2 + 64)^4 + 4*x^3 - 48*x*arctan(1/8*pi)^2 - 12*x^2*log(pi^2 + 64) + 48*arctan(1/8*pi)^2*log(pi^2 + 64
) + 12*x*log(pi^2 + 64)^2 - 4*log(pi^2 + 64)^3 + 6*x^2 - 24*arctan(1/8*pi)^2 - 12*x*log(pi^2 + 64) + 6*log(pi^
2 + 64)^2 + 4*x + 1) - 33554432*pi*e^(x^4 - 24*x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*pi)^4 - 4*x^3*log(pi^2 + 6
4) + 48*x*arctan(1/8*pi)^2*log(pi^2 + 64) + 6*x^2*log(pi^2 + 64)^2 - 24*arctan(1/8*pi)^2*log(pi^2 + 64)^2 - 4*
x*log(pi^2 + 64)^3 + log(pi^2 + 64)^4 + 4*x^3 - 48*x*arctan(1/8*pi)^2 - 12*x^2*log(pi^2 + 64) + 48*arctan(1/8*
pi)^2*log(pi^2 + 64) + 12*x*log(pi^2 + 64)^2 - 4*log(pi^2 + 64)^3 + 6*x^2 - 24*arctan(1/8*pi)^2 - 12*x*log(pi^
2 + 64) + 6*log(pi^2 + 64)^2 + 4*x + 1)*tan(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arctan(1/8*p
i)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi)*log(pi^
2 + 64) + 12*x*arctan(1/8*pi)) - 16777216*e^(x^4 - 24*x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*pi)^4 - 4*x^3*log(p
i^2 + 64) + 48*x*arctan(1/8*pi)^2*log(pi^2 + 64) + 6*x^2*log(pi^2 + 64)^2 - 24*arctan(1/8*pi)^2*log(pi^2 + 64)
^2 - 4*x*log(pi^2 + 64)^3 + log(pi^2 + 64)^4 + 4*x^3 - 48*x*arctan(1/8*pi)^2 - 12*x^2*log(pi^2 + 64) + 48*arct
an(1/8*pi)^2*log(pi^2 + 64) + 12*x*log(pi^2 + 64)^2 - 4*log(pi^2 + 64)^3 + 6*x^2 - 24*arctan(1/8*pi)^2 - 12*x*
log(pi^2 + 64) + 6*log(pi^2 + 64)^2 + 4*x + 1)*tan(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arcta
n(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi)*
log(pi^2 + 64) + 12*x*arctan(1/8*pi))^2 - 33554432*pi*e^(x^4 - 24*x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*pi)^4 -
4*x^3*log(pi^2 + 64) + 48*x*arctan(1/8*pi)^2*log(pi^2 + 64) + 6*x^2*log(pi^2 + 64)^2 - 24*arctan(1/8*pi)^2*lo
g(pi^2 + 64)^2 - 4*x*log(pi^2 + 64)^3 + log(pi^2 + 64)^4 + 4*x^3 - 48*x*arctan(1/8*pi)^2 - 12*x^2*log(pi^2 + 6
4) + 48*arctan(1/8*pi)^2*log(pi^2 + 64) + 12*x*log(pi^2 + 64)^2 - 4*log(pi^2 + 64)^3 + 6*x^2 - 24*arctan(1/8*p
i)^2 - 12*x*log(pi^2 + 64) + 6*log(pi^2 + 64)^2 + 4*x + 1)*tan(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4*arctan(1
/8*pi)*log(pi^2 + 64)^3 - 16*arctan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi)*log(pi^
2 + 64)) - 67108864*e^(x^4 - 24*x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*pi)^4 - 4*x^3*log(pi^2 + 64) + 48*x*arcta
n(1/8*pi)^2*log(pi^2 + 64) + 6*x^2*log(pi^2 + 64)^2 - 24*arctan(1/8*pi)^2*log(pi^2 + 64)^2 - 4*x*log(pi^2 + 64
)^3 + log(pi^2 + 64)^4 + 4*x^3 - 48*x*arctan(1/8*pi)^2 - 12*x^2*log(pi^2 + 64) + 48*arctan(1/8*pi)^2*log(pi^2
+ 64) + 12*x*log(pi^2 + 64)^2 - 4*log(pi^2 + 64)^3 + 6*x^2 - 24*arctan(1/8*pi)^2 - 12*x*log(pi^2 + 64) + 6*log
(pi^2 + 64)^2 + 4*x + 1)*tan(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arctan(1/8*pi)*log(pi^2 + 6
4) + 12*x*arctan(1/8*pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*
arctan(1/8*pi))*tan(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4*arctan(1/8*pi)*log(pi^2 + 64)^3 - 16*arctan(1/8*pi)
^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi)*log(pi^2 + 64)) - 16777216*e^(x^4 - 24*x^2*arctan(
1/8*pi)^2 + 16*arctan(1/8*pi)^4 - 4*x^3*log(pi^2 + 64) + 48*x*arctan(1/8*pi)^2*log(pi^2 + 64) + 6*x^2*log(pi^2
+ 64)^2 - 24*arctan(1/8*pi)^2*log(pi^2 + 64)^2 - 4*x*log(pi^2 + 64)^3 + log(pi^2 + 64)^4 + 4*x^3 - 48*x*arcta
n(1/8*pi)^2 - 12*x^2*log(pi^2 + 64) + 48*arctan(1/8*pi)^2*log(pi^2 + 64) + 12*x*log(pi^2 + 64)^2 - 4*log(pi^2
+ 64)^3 + 6*x^2 - 24*arctan(1/8*pi)^2 - 12*x*log(pi^2 + 64) + 6*log(pi^2 + 64)^2 + 4*x + 1)*tan(16*arctan(1/8*
pi)^3*log(pi^2 + 64) - 4*arctan(1/8*pi)*log(pi^2 + 64)^3 - 16*arctan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 +
64)^2 - 12*arctan(1/8*pi)*log(pi^2 + 64))^2 + 16777216*e^(x^4 - 24*x^2*arctan(1/8*pi)^2 + 16*arctan(1/8*pi)^4
- 4*x^3*log(pi^2 + 64) + 48*x*arctan(1/8*pi)^2*log(pi^2 + 64) + 6*x^2*log(pi^2 + 64)^2 - 24*arctan(1/8*pi)^2*l
og(pi^2 + 64)^2 - 4*x*log(pi^2 + 64)^3 + log(pi^2 + 64)^4 + 4*x^3 - 48*x*arctan(1/8*pi)^2 - 12*x^2*log(pi^2 +
64) + 48*arctan(1/8*pi)^2*log(pi^2 + 64) + 12*x*log(pi^2 + 64)^2 - 4*log(pi^2 + 64)^3 + 6*x^2 - 24*arctan(1/8*
pi)^2 - 12*x*log(pi^2 + 64) + 6*log(pi^2 + 64)^2 + 4*x + 1))/(pi^16*tan(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/8
*pi)^3 - 12*x^2*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi) -
24*x*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi))^2*tan(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4*arctan
(1/8*pi)*log(pi^2 + 64)^3 - 16*arctan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi)*log(p
i^2 + 64))^2 + pi^16*tan(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arctan(1/8*pi)*log(pi^2 + 64) +
12*x*arctan(1/8*pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arct
an(1/8*pi))^2 + pi^16*tan(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4*arctan(1/8*pi)*log(pi^2 + 64)^3 - 16*arctan(1
/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi)*log(pi^2 + 64))^2 + 512*pi^14*tan(4*x^3*arct
an(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^2 + 64)
^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi))^2*tan(16*arctan(1/8*pi)
^3*log(pi^2 + 64) - 4*arctan(1/8*pi)*log(pi^2 + 64)^3 - 16*arctan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)
^2 - 12*arctan(1/8*pi)*log(pi^2 + 64))^2 + pi^16 + 512*pi^14*tan(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^3
- 12*x^2*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x*a
rctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi))^2 + 512*pi^14*tan(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4*a
rctan(1/8*pi)*log(pi^2 + 64)^3 - 16*arctan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi)*
log(pi^2 + 64))^2 + 114688*pi^12*tan(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arctan(1/8*pi)*log(
pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi)*log(pi^2 + 64)
+ 12*x*arctan(1/8*pi))^2*tan(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4*arctan(1/8*pi)*log(pi^2 + 64)^3 - 16*arct
an(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi)*log(pi^2 + 64))^2 + 512*pi^14 + 114688*p
i^12*tan(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8
*pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi))^2 +
114688*pi^12*tan(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4*arctan(1/8*pi)*log(pi^2 + 64)^3 - 16*arctan(1/8*pi)^3
+ 12*arctan(1/8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi)*log(pi^2 + 64))^2 + 14680064*pi^10*tan(4*x^3*arctan(1
/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^2 + 64)^2 +
12*x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi))^2*tan(16*arctan(1/8*pi)^3*l
og(pi^2 + 64) - 4*arctan(1/8*pi)*log(pi^2 + 64)^3 - 16*arctan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2 -
12*arctan(1/8*pi)*log(pi^2 + 64))^2 + 114688*pi^12 + 14680064*pi^10*tan(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/
8*pi)^3 - 12*x^2*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi)
- 24*x*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi))^2 + 14680064*pi^10*tan(16*arctan(1/8*pi)^3*log(pi^
2 + 64) - 4*arctan(1/8*pi)*log(pi^2 + 64)^3 - 16*arctan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2 - 12*ar
ctan(1/8*pi)*log(pi^2 + 64))^2 + 1174405120*pi^8*tan(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arc
tan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi
)*log(pi^2 + 64) + 12*x*arctan(1/8*pi))^2*tan(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4*arctan(1/8*pi)*log(pi^2 +
64)^3 - 16*arctan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi)*log(pi^2 + 64))^2 + 1468
0064*pi^10 + 1174405120*pi^8*tan(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arctan(1/8*pi)*log(pi^2
+ 64) + 12*x*arctan(1/8*pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi)*log(pi^2 + 64) + 1
2*x*arctan(1/8*pi))^2 + 1174405120*pi^8*tan(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4*arctan(1/8*pi)*log(pi^2 + 6
4)^3 - 16*arctan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi)*log(pi^2 + 64))^2 + 601295
42144*pi^6*tan(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arct
an(1/8*pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)
)^2*tan(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4*arctan(1/8*pi)*log(pi^2 + 64)^3 - 16*arctan(1/8*pi)^3 + 12*arct
an(1/8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi)*log(pi^2 + 64))^2 + 1174405120*pi^8 + 60129542144*pi^6*tan(4*x
^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^
2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi))^2 + 60129542144*
pi^6*tan(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4*arctan(1/8*pi)*log(pi^2 + 64)^3 - 16*arctan(1/8*pi)^3 + 12*arc
tan(1/8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi)*log(pi^2 + 64))^2 + 1924145348608*pi^4*tan(4*x^3*arctan(1/8*p
i) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^2 + 64)^2 + 12*
x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi))^2*tan(16*arctan(1/8*pi)^3*log(p
i^2 + 64) - 4*arctan(1/8*pi)*log(pi^2 + 64)^3 - 16*arctan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2 - 12*
arctan(1/8*pi)*log(pi^2 + 64))^2 + 60129542144*pi^6 + 1924145348608*pi^4*tan(4*x^3*arctan(1/8*pi) - 16*x*arcta
n(1/8*pi)^3 - 12*x^2*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(1/8*
pi) - 24*x*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi))^2 + 1924145348608*pi^4*tan(16*arctan(1/8*pi)^3
*log(pi^2 + 64) - 4*arctan(1/8*pi)*log(pi^2 + 64)^3 - 16*arctan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2
- 12*arctan(1/8*pi)*log(pi^2 + 64))^2 + 35184372088832*pi^2*tan(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^3
- 12*x^2*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x*a
rctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi))^2*tan(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4*arctan(1/8*pi
)*log(pi^2 + 64)^3 - 16*arctan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi)*log(pi^2 + 6
4))^2 + 1924145348608*pi^4 + 35184372088832*pi^2*tan(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arc
tan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi
)*log(pi^2 + 64) + 12*x*arctan(1/8*pi))^2 + 35184372088832*pi^2*tan(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4*arc
tan(1/8*pi)*log(pi^2 + 64)^3 - 16*arctan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi)*lo
g(pi^2 + 64))^2 + 281474976710656*tan(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arctan(1/8*pi)*log
(pi^2 + 64) + 12*x*arctan(1/8*pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi)*log(pi^2 + 64
) + 12*x*arctan(1/8*pi))^2*tan(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4*arctan(1/8*pi)*log(pi^2 + 64)^3 - 16*arc
tan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi)*log(pi^2 + 64))^2 + 35184372088832*pi^2
+ 281474976710656*tan(4*x^3*arctan(1/8*pi) - 16*x*arctan(1/8*pi)^3 - 12*x^2*arctan(1/8*pi)*log(pi^2 + 64) + 1
2*x*arctan(1/8*pi)*log(pi^2 + 64)^2 + 12*x^2*arctan(1/8*pi) - 24*x*arctan(1/8*pi)*log(pi^2 + 64) + 12*x*arctan
(1/8*pi))^2 + 281474976710656*tan(16*arctan(1/8*pi)^3*log(pi^2 + 64) - 4*arctan(1/8*pi)*log(pi^2 + 64)^3 - 16*
arctan(1/8*pi)^3 + 12*arctan(1/8*pi)*log(pi^2 + 64)^2 - 12*arctan(1/8*pi)*log(pi^2 + 64))^2 + 281474976710656)
Mupad [B] (verification not implemented)
Time = 0.60 (sec) , antiderivative size = 168, normalized size of antiderivative = 8.00
\[
\int e^{1+4 x+6 x^2+4 x^3+x^4+\left (-4-12 x-12 x^2-4 x^3\right ) \log \left ((8+i \pi )^2\right )+\left (6+12 x+6 x^2\right ) \log ^2\left ((8+i \pi )^2\right )+(-4-4 x) \log ^3\left ((8+i \pi )^2\right )+\log ^4\left ((8+i \pi )^2\right )} \left (20+60 x+60 x^2+20 x^3+\left (-60-120 x-60 x^2\right ) \log \left ((8+i \pi )^2\right )+(60+60 x) \log ^2\left ((8+i \pi )^2\right )-20 \log ^3\left ((8+i \pi )^2\right )\right ) \, dx=\frac {5\,{\mathrm {e}}^{-32\,x\,{\ln \left (8+\pi \,1{}\mathrm {i}\right )}^3}\,{\mathrm {e}}^{48\,x\,{\ln \left (8+\pi \,1{}\mathrm {i}\right )}^2}\,{\mathrm {e}}^{4\,x}\,{\mathrm {e}}^{x^4}\,\mathrm {e}\,{\mathrm {e}}^{24\,x^2\,{\ln \left (8+\pi \,1{}\mathrm {i}\right )}^2}\,{\mathrm {e}}^{4\,x^3}\,{\mathrm {e}}^{6\,x^2}\,{\mathrm {e}}^{16\,{\ln \left (8+\pi \,1{}\mathrm {i}\right )}^4}\,{\mathrm {e}}^{24\,{\ln \left (8+\pi \,1{}\mathrm {i}\right )}^2}\,{\mathrm {e}}^{-32\,{\ln \left (8+\pi \,1{}\mathrm {i}\right )}^3}}{{\left (8+\pi \,1{}\mathrm {i}\right )}^{8\,x^3+24\,x^2+24\,x}\,\left (286720\,\pi ^4-7340032\,\pi ^2-1792\,\pi ^6+\pi ^8+16777216+\pi \,16777216{}\mathrm {i}-\pi ^3\,1835008{}\mathrm {i}+\pi ^5\,28672{}\mathrm {i}-\pi ^7\,64{}\mathrm {i}\right )}
\]
[In]
int(exp(4*x - 8*log(log(-exp(8)))^3*(4*x + 4) - 2*log(log(-exp(8)))*(12*x + 12*x^2 + 4*x^3 + 4) + 4*log(log(-e
xp(8)))^2*(12*x + 6*x^2 + 6) + 6*x^2 + 4*x^3 + x^4 + 16*log(log(-exp(8)))^4 + 1)*(60*x - 2*log(log(-exp(8)))*(
120*x + 60*x^2 + 60) + 4*log(log(-exp(8)))^2*(60*x + 60) + 60*x^2 + 20*x^3 - 160*log(log(-exp(8)))^3 + 20),x)
[Out]
(5*exp(-32*x*log(pi*1i + 8)^3)*exp(48*x*log(pi*1i + 8)^2)*exp(4*x)*exp(x^4)*exp(1)*exp(24*x^2*log(pi*1i + 8)^2
)*exp(4*x^3)*exp(6*x^2)*exp(16*log(pi*1i + 8)^4)*exp(24*log(pi*1i + 8)^2)*exp(-32*log(pi*1i + 8)^3))/((pi*1i +
8)^(24*x + 24*x^2 + 8*x^3)*(pi*16777216i - 7340032*pi^2 - pi^3*1835008i + 286720*pi^4 + pi^5*28672i - 1792*pi
^6 - pi^7*64i + pi^8 + 16777216))