\[ \int \frac {e^{\frac {x^2+\log (x)}{x}} \left (\left (120-240 x+120 x^2\right ) \log (2)-120 \log (2) \log (x)\right )}{x^4} \, dx \]
Optimal antiderivative \[ \frac {120 \,{\mathrm e}^{\frac {\ln \left (x \right )}{x}+x} \ln \left (2\right )}{x^{2}} \]
command
Int[(E^((x^2 + Log[x])/x)*((120 - 240*x + 120*x^2)*Log[2] - 120*Log[2]*Log[x]))/x^4,x]
Rubi 4.17.3 under Mathematica 13.3.1 output
\[ \frac {120 e^x x^{\frac {1}{x}-4} \log (2) \left (x^2-\log (x)+1\right )}{\frac {1}{x^2}-\frac {\log (x)}{x^2}+1} \]
Rubi 4.16.1 under Mathematica 13.3.1 output
\[ \int \frac {e^{\frac {x^2+\log (x)}{x}} \left (\left (120-240 x+120 x^2\right ) \log (2)-120 \log (2) \log (x)\right )}{x^4} \, dx \]________________________________________________________________________________________