\[ \int \frac {-20-4 e^2+8 x}{\left (5 e^5 x^2+e^3 \left (50 x^2-10 x^3\right )+e \left (125 x^2-50 x^3+5 x^4\right )\right ) \log (6)} \, dx \]
Optimal antiderivative \[ \frac {4 \,{\mathrm e}^{-1}}{5 x \left ({\mathrm e}^{2}+5-x \right ) \ln \left (6\right )} \]
command
integrate((-4*exp(2)+8*x-20)/(5*x^2*exp(1)*exp(2)^2+(-10*x^3+50*x^2)*exp(1)*exp(2)+(5*x^4-50*x^3+125*x^2)*exp(1))/log(6),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ -\frac {4 \, e^{\left (-1\right )}}{5 \, {\left (x^{2} - x e^{2} - 5 \, x\right )} \log \left (6\right )} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \text {Exception raised: NotImplementedError} \]________________________________________________________________________________________