\[ \int \frac {-14+2 x+6 x^2}{48-56 x+4 x^2+8 x^3+\left (12-14 x+x^2+2 x^3\right ) \log \left (-12+14 x-x^2-2 x^3\right )} \, dx \]
Optimal antiderivative \[ \ln \! \left (4+\ln \! \left (\left (-3+2 x \right ) \left (4+\left (-2-x \right ) x \right )\right )\right ) \]
command
Int[(-14 + 2*x + 6*x^2)/(48 - 56*x + 4*x^2 + 8*x^3 + (12 - 14*x + x^2 + 2*x^3)*Log[-12 + 14*x - x^2 - 2*x^3]),x]
Rubi 4.17.3 under Mathematica 13.3.1 output
\[ \int \frac {-14+2 x+6 x^2}{48-56 x+4 x^2+8 x^3+\left (12-14 x+x^2+2 x^3\right ) \log \left (-12+14 x-x^2-2 x^3\right )} \, dx \]
Rubi 4.16.1 under Mathematica 13.3.1 output
\[ \log \left (\log \left (-2 x^3-x^2+14 x-12\right )+4\right ) \]