\[ \int \frac {663552 x-2097152 x^5}{6561+41472 x^2+107008 x^4+65536 e^{10} x^4+131072 x^6+65536 x^8+e^5 \left (41472 x^2+131072 x^4+131072 x^6\right )} \, dx \]
Optimal antiderivative \[ \frac {16}{\frac {81}{256 x^{2}}+1+x^{2}+{\mathrm e}^{5}} \]
command
integrate((-2097152*x^5+663552*x)/(65536*x^4*exp(5)^2+(131072*x^6+131072*x^4+41472*x^2)*exp(5)+65536*x^8+131072*x^6+107008*x^4+41472*x^2+6561),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ \frac {4096 \, x^{2}}{256 \, x^{4} + 256 \, x^{2} e^{5} + 256 \, x^{2} + 81} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \text {Timed out} \]________________________________________________________________________________________