\[ \int \frac {\left (75+3 e^3\right ) \log (3)}{625+e^6+50 x+x^2+e^3 (50+2 x)} \, dx \]
Optimal antiderivative \[ \frac {3 x \ln \left (3\right )}{x +{\mathrm e}^{3}+25} \]
command
integrate((3*exp(3)+75)*log(3)/(exp(3)^2+(2*x+50)*exp(3)+x^2+50*x+625),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ -\frac {3 \, {\left (e^{3} + 25\right )} \log \left (3\right )}{x + e^{3} + 25} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \text {Exception raised: NotImplementedError} \]________________________________________________________________________________________