44.54 Problem number 3737

\[ \int \frac {e^{4-100 e^{4-2 x}-x} \left (e^{-4+2 x} (-1+x)+200 x\right )}{x^2} \, dx \]

Optimal antiderivative \[ 5+\frac {{\mathrm e}^{x} {\mathrm e}^{-100 \,{\mathrm e}^{4-2 x}}}{x} \]

command

integrate(((-1+x)*exp(-2+x)**2+200*x)*exp(x)/x**2/exp(-2+x)**2/exp(100/exp(-2+x)**2),x)

Sympy 1.10.1 under Python 3.10.4 output

\[ \text {Exception raised: SystemError} \]

Sympy 1.8 under Python 3.8.8 output

\[ \frac {e^{x} e^{- 100 e^{4} e^{- 2 x}}}{x} \]