\[ \int -\frac {20 e^{1+e^{e^{1+x}}+e^{1+x}+x}}{49+14 e^2+e^4+e^{2 e^{e^{1+x}}}+e^{e^{e^{1+x}}} \left (14+2 e^2\right )} \, dx \]
Optimal antiderivative \[ \frac {20}{7+{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{1+x}}}+{\mathrm e}^{2}} \]
command
integrate(-20*exp(1+x)*exp(exp(1+x))*exp(exp(exp(1+x)))/(exp(exp(exp(1+x)))^2+(2*exp(2)+14)*exp(exp(exp(1+x)))+exp(2)^2+14*exp(2)+49),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ \frac {20}{e^{2} + e^{\left (e^{\left (e^{\left (x + 1\right )}\right )}\right )} + 7} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \text {Exception raised: NotImplementedError} \]________________________________________________________________________________________