\[ \int \frac {-3+2401 e^8}{e^4 \left (2401 e^8+4802 e^4 x+2401 x^2\right )} \, dx \]
Optimal antiderivative \[ \frac {x +\frac {3 \,{\mathrm e}^{-4}}{2401}}{x +{\mathrm e}^{4}} \]
command
integrate((2401*exp(2)^2*exp(4)-3)/(2401*exp(2)^4+4802*x*exp(2)^2+2401*x^2)/exp(4),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ -\frac {{\left (2401 \, e^{8} - 3\right )} e^{\left (-4\right )}}{2401 \, {\left (x + e^{4}\right )}} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \text {Exception raised: NotImplementedError} \]________________________________________________________________________________________