\[ \int \frac {132 \log \left (e^{-x} \left (-22+e^x\right )\right )}{-22+e^x} \, dx \]
Optimal antiderivative \[ 3 \ln \left (1-22 \,{\mathrm e}^{-x}\right )^{2} \]
command
integrate(132*log((exp(x)-22)/exp(x))/(exp(x)-22),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ 3 \, \log \left ({\left (e^{x} - 22\right )} e^{\left (-x\right )}\right )^{2} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \int \frac {132 \, \log \left ({\left (e^{x} - 22\right )} e^{\left (-x\right )}\right )}{e^{x} - 22}\,{d x} \]________________________________________________________________________________________