\[ \int \frac {-12 x^2-1203 x^4+e^5 \left (12-6 x-3609 x^2\right )}{e^{10}+2 e^5 x^2+x^4} \, dx \]
Optimal antiderivative \[ \frac {3 x \left (-401 x^{2}-x +4\right )}{x^{2}+{\mathrm e}^{5}} \]
command
integrate(((-3609*x^2-6*x+12)*exp(5)-1203*x^4-12*x^2)/(exp(5)^2+2*x^2*exp(5)+x^4),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ -1203 \, x + \frac {3 \, {\left (401 \, x e^{5} + 4 \, x + e^{5}\right )}}{x^{2} + e^{5}} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \text {Exception raised: NotImplementedError} \]________________________________________________________________________________________