\[ \int e^{-7+e^{e+2 x}-x} \left (e (1-x)+2 e^{1+e+2 x} x\right ) \, dx \]
Optimal antiderivative \[ {\mathrm e} \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}+2 x}-x -7} x \]
command
integrate((2*x*exp(1)*exp(exp(1)+2*x)+(1-x)*exp(1))/exp(-exp(exp(1)+2*x)+x+7),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ \text {could not integrate} \]
Giac 1.7.0 via sagemath 9.3 output
\[ x e^{\left (-x + e^{\left (2 \, x + e\right )} - 6\right )} \]