\[ \int \frac {-6 e^x+e^x (-11+3 x) \log \left (121-66 x+9 x^2\right )}{e^{25} (-11+3 x) \log ^2\left (121-66 x+9 x^2\right )} \, dx \]
Optimal antiderivative \[ \frac {{\mathrm e}^{x} {\mathrm e}^{-25}}{\ln \! \left (\left (11-3 x \right )^{2}\right )} \]
command
Int[(-6*E^x + E^x*(-11 + 3*x)*Log[121 - 66*x + 9*x^2])/(E^25*(-11 + 3*x)*Log[121 - 66*x + 9*x^2]^2),x]
Rubi 4.17.3 under Mathematica 13.3.1 output
\[ \int \frac {-6 e^x+e^x (-11+3 x) \log \left (121-66 x+9 x^2\right )}{e^{25} (-11+3 x) \log ^2\left (121-66 x+9 x^2\right )} \, dx \]
Rubi 4.16.1 under Mathematica 13.3.1 output
\[ \frac {e^{x-25}}{\log \left ((11-3 x)^2\right )} \]