\[ \int \frac {20+34 e^2-68 e x+34 x^2}{5 e^2-10 e x+5 x^2} \, dx \]
Optimal antiderivative \[ \frac {34 x}{5}+\frac {4}{{\mathrm e}-x}-1 \]
command
integrate((34*exp(1)^2-68*x*exp(1)+34*x^2+20)/(5*exp(1)^2-10*x*exp(1)+5*x^2),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ \frac {34}{5} \, x - \frac {4}{x - e} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \text {Exception raised: NotImplementedError} \]________________________________________________________________________________________