\[ \int \frac {20 x^5+e^{15} \left (-800-640 x^2+2 x^5-20 x^6\right )+e^{30} \left (500 x+480 x^3+64 x^5+5 x^7\right )}{4 x^5-4 e^{15} x^6+e^{30} x^7} \, dx \]
Optimal antiderivative \[ \frac {4 \left (4+\frac {5}{x^{2}}\right )^{2}+x}{2 \,{\mathrm e}^{-15}-x}+5 x \]
command
Int[(20*x^5 + E^15*(-800 - 640*x^2 + 2*x^5 - 20*x^6) + E^30*(500*x + 480*x^3 + 64*x^5 + 5*x^7))/(4*x^5 - 4*E^15*x^6 + E^30*x^7),x]
Rubi 4.17.3 under Mathematica 13.3.1 output
\[ \frac {50 e^{15}}{x^4}+\frac {25 e^{30}}{x^3}+\frac {5 e^{15} \left (32+5 e^{30}\right )}{2 x^2}+5 x+\frac {8+256 e^{15}+160 e^{45}+25 e^{75}}{4 \left (2-e^{15} x\right )}+\frac {5 e^{30} \left (32+5 e^{30}\right )}{4 x} \]
Rubi 4.16.1 under Mathematica 13.3.1 output
\[ \text {\$Aborted} \]________________________________________________________________________________________