101.47 Problem number 9060

\[ \int 8 e^{e^{\frac {8}{5} x^5 (i \pi +\log (4))}+\frac {8}{5} x^5 (i \pi +\log (4))} x^4 (i \pi +\log (4)) \, dx \]

Optimal antiderivative \[ {\mathrm e}^{{\mathrm e}^{\frac {8 x^{5} \left (2 \ln \left (2\right )+i \pi \right )}{5}}} \]

command

integrate(8*x**4*(2*ln(2)+I*pi)*exp(8/5*x**5*(2*ln(2)+I*pi))*exp(exp(8/5*x**5*(2*ln(2)+I*pi))),x)

Sympy 1.10.1 under Python 3.10.4 output

\[ e^{e^{\frac {8 x^{5} \cdot \left (2 \log {\left (2 \right )} + i \pi \right )}{5}}} \]

Sympy 1.8 under Python 3.8.8 output

\[ \text {Timed out} \]________________________________________________________________________________________