\[ \int \frac {\left (-1-240 x-240 e^{16} x\right ) \log \left (5 e^3\right )}{x^2+240 x^3+14400 x^4+14400 e^{32} x^4+e^{16} \left (240 x^3+28800 x^4\right )} \, dx \]
Optimal antiderivative \[ \frac {\ln \left (5 \,{\mathrm e}^{3}\right )}{\left (24 \left (5+5 \,{\mathrm e}^{16}\right ) x +1\right ) x} \]
command
integrate((-240*x*exp(16)-240*x-1)*log(5*exp(3))/(14400*x^4*exp(16)^2+(28800*x^4+240*x^3)*exp(16)+14400*x^4+240*x^3+x^2),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ \frac {\log \left (5 \, e^{3}\right )}{120 \, x^{2} e^{16} + 120 \, x^{2} + x} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \text {Exception raised: NotImplementedError} \]________________________________________________________________________________________