\[ \int -\frac {1}{e^{10}+2 e^5 x+x^2} \, dx \]
Optimal antiderivative \[ \frac {1}{{\mathrm e}^{5}+x} \]
command
integrate(-1/(exp(5)^2+2*x*exp(5)+x^2),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ \frac {1}{x + e^{5}} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \text {Exception raised: NotImplementedError} \]________________________________________________________________________________________