\[ \int \frac {e^{\frac {-e^5-720 x^3+160 x^4+160 x^3 \log (x)}{16 x^3}} \left (3 e^5+160 x^3+160 x^4\right )}{16 x^4} \, dx \]
Optimal antiderivative \[ {\mathrm e}^{-45+10 \ln \left (x \right )+10 x -\frac {{\mathrm e}^{5}}{16 x^{3}}} \]
command
Int[(E^((-E^5 - 720*x^3 + 160*x^4 + 160*x^3*Log[x])/(16*x^3))*(3*E^5 + 160*x^3 + 160*x^4))/(16*x^4),x]
Rubi 4.17.3 under Mathematica 13.3.1 output
\[ e^{-\frac {-160 x^4+720 x^3+e^5}{16 x^3}} x^{10} \]
Rubi 4.16.1 under Mathematica 13.3.1 output
\[ \int \frac {e^{\frac {-e^5-720 x^3+160 x^4+160 x^3 \log (x)}{16 x^3}} \left (3 e^5+160 x^3+160 x^4\right )}{16 x^4} \, dx \]________________________________________________________________________________________