\[ \int \frac {e^{\frac {2 x}{-60+5 e^x+5 x+5 x^2+5 \log (x)}} \left (-26+e^x (2-2 x)-2 x^2+2 \log (x)\right )}{720+5 e^{2 x}-120 x-115 x^2+10 x^3+5 x^4+e^x \left (-120+10 x+10 x^2\right )+\left (-120+10 e^x+10 x+10 x^2\right ) \log (x)+5 \log ^2(x)} \, dx \]
Optimal antiderivative \[ {\mathrm e}^{\frac {2 x}{5 \ln \left (x \right )+5 \,{\mathrm e}^{x}+5 x^{2}+5 x -60}} \]
command
integrate((2*log(x)+(2-2*x)*exp(x)-2*x^2-26)*exp(2*x/(5*log(x)+5*exp(x)+5*x^2+5*x-60))/(5*log(x)^2+(10*exp(x)+10*x^2+10*x-120)*log(x)+5*exp(x)^2+(10*x^2+10*x-120)*exp(x)+5*x^4+10*x^3-115*x^2-120*x+720),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ e^{\left (\frac {2 \, x}{5 \, {\left (x^{2} + x + e^{x} + \log \left (x\right ) - 12\right )}}\right )} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \int -\frac {2 \, {\left (x^{2} + {\left (x - 1\right )} e^{x} - \log \left (x\right ) + 13\right )} e^{\left (\frac {2 \, x}{5 \, {\left (x^{2} + x + e^{x} + \log \left (x\right ) - 12\right )}}\right )}}{5 \, {\left (x^{4} + 2 \, x^{3} - 23 \, x^{2} + 2 \, {\left (x^{2} + x - 12\right )} e^{x} + 2 \, {\left (x^{2} + x + e^{x} - 12\right )} \log \left (x\right ) + \log \left (x\right )^{2} - 24 \, x + e^{\left (2 \, x\right )} + 144\right )}}\,{d x} \]________________________________________________________________________________________