\[ \int \frac {-4 e^2+118098 x-16 x^2+e (-39366+16 x)}{e^2 x^3-4 e x^4+4 x^5} \, dx \]
Optimal antiderivative \[ \frac {\frac {19683}{{\mathrm e}-2 x}+\frac {x^{2}}{2}+2}{x^{2}} \]
command
integrate((-4*exp(1)^2+(16*x-39366)*exp(1)-16*x^2+118098*x)/(x^3*exp(1)^2-4*x^4*exp(1)+4*x^5),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ -\frac {78732 \, e^{\left (-2\right )}}{2 \, x - e} + \frac {{\left (39366 \, x + 2 \, e^{2} + 19683 \, e\right )} e^{\left (-2\right )}}{x^{2}} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \text {Exception raised: NotImplementedError} \]________________________________________________________________________________________