\[ \int \frac {e^5+4 \log \left (\frac {-1+7 \log (2)}{\log (2)}\right )}{8 e^{10}-8 e^5 x+2 x^2+\left (32 e^5-16 x\right ) \log \left (\frac {-1+7 \log (2)}{\log (2)}\right )+32 \log ^2\left (\frac {-1+7 \log (2)}{\log (2)}\right )} \, dx \]
Optimal antiderivative \[ \frac {2}{8-\frac {4 \left (-{\mathrm e}^{5}+x \right )}{\ln \left (7-\frac {1}{\ln \left (2\right )}\right )+\frac {x}{4}}} \]
command
integrate((4*log((7*log(2)-1)/log(2))+exp(5))/(32*log((7*log(2)-1)/log(2))^2+(32*exp(5)-16*x)*log((7*log(2)-1)/log(2))+8*exp(5)^2-8*x*exp(5)+2*x^2),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ -\frac {e^{5} + 4 \, \log \left (\frac {7 \, \log \left (2\right ) - 1}{\log \left (2\right )}\right )}{2 \, {\left (x - 2 \, e^{5} - 4 \, \log \left (\frac {7 \, \log \left (2\right ) - 1}{\log \left (2\right )}\right )\right )}} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \text {Exception raised: NotImplementedError} \]________________________________________________________________________________________