\[ \int \frac {40-100 x^2-4 e^{32} x^4+e^{16} \left (-16 x+40 x^3\right )}{25 x^2-10 e^{16} x^3+e^{32} x^4} \, dx \]
Optimal antiderivative \[ \frac {8}{x^{2} \left ({\mathrm e}^{16}-\frac {5}{x}\right )}-4 x \]
command
Int[(40 - 100*x^2 - 4*E^32*x^4 + E^16*(-16*x + 40*x^3))/(25*x^2 - 10*E^16*x^3 + E^32*x^4),x]
Rubi 4.17.3 under Mathematica 13.3.1 output
\[ -4 x-\frac {8 e^{16}}{5 \left (5-e^{16} x\right )}-\frac {8}{5 x} \]
Rubi 4.16.1 under Mathematica 13.3.1 output
\[ \text {\$Aborted} \]________________________________________________________________________________________