\[ \int \frac {e^x \left (-2+64 x+27 x^2-66 x^3-30 x^4+17 x^5+8 x^6\right )+e^x \left (-32+2 x+32 x^2-x^3-8 x^4\right ) \log \left (\frac {-4+2 x^2}{-80+5 x+40 x^2}\right )}{32-2 x-32 x^2+x^3+8 x^4} \, dx \]
Optimal antiderivative \[ \left (x^{2}-\ln \! \left (\frac {2}{40+\frac {5 x}{x^{2}-2}}\right )\right ) {\mathrm e}^{x} \]
command
Int[(E^x*(-2 + 64*x + 27*x^2 - 66*x^3 - 30*x^4 + 17*x^5 + 8*x^6) + E^x*(-32 + 2*x + 32*x^2 - x^3 - 8*x^4)*Log[(-4 + 2*x^2)/(-80 + 5*x + 40*x^2)])/(32 - 2*x - 32*x^2 + x^3 + 8*x^4),x]
Rubi 4.17.3 under Mathematica 13.3.1 output
\[ \int \frac {e^x \left (-2+64 x+27 x^2-66 x^3-30 x^4+17 x^5+8 x^6\right )+e^x \left (-32+2 x+32 x^2-x^3-8 x^4\right ) \log \left (\frac {-4+2 x^2}{-80+5 x+40 x^2}\right )}{32-2 x-32 x^2+x^3+8 x^4} \, dx \]
Rubi 4.16.1 under Mathematica 13.3.1 output
\[ \text {output too large to display} \]