\[ \int \frac {5+e^3 (-1-4 x)-6 x-x^2}{75+3 e^6+30 x^2+3 x^4+e^3 \left (-30-6 x^2\right )} \, dx \]
Optimal antiderivative \[ \frac {\frac {13}{3}+\frac {2}{3} x^{2}+\frac {1}{3} x}{5+x^{2}-{\mathrm e}^{3}} \]
command
integrate(((-4*x-1)*exp(3)-x^2-6*x+5)/(3*exp(3)^2+(-6*x^2-30)*exp(3)+3*x^4+30*x^2+75),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ \frac {x + 2 \, e^{3} + 3}{3 \, {\left (x^{2} - e^{3} + 5\right )}} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \text {Timed out} \]________________________________________________________________________________________