44.110 Problem number 8348

\[ \int e^{\frac {50}{x}+2 x} \left (2400 x^6-384 x^7-96 x^8\right ) \, dx \]

Optimal antiderivative \[ -2-48 x^{8} {\mathrm e}^{2 x} {\mathrm e}^{\frac {50}{x}} \]

command

integrate((-96*x**8-384*x**7+2400*x**6)*exp(25/x)**2*exp(x)**2,x)

Sympy 1.10.1 under Python 3.10.4 output

\[ \text {Timed out} \]

Sympy 1.8 under Python 3.8.8 output

\[ - 48 x^{8} e^{\frac {50}{x}} e^{2 x} \]