\[ \int \frac {e^{e^{16 x}} \left (6-12 x^2+e^{16 x} \left (96 x+704 x^2+192 x^3\right )\right )}{9+132 x+520 x^2+264 x^3+36 x^4} \, dx \]
Optimal antiderivative \[ \frac {{\mathrm e}^{{\mathrm e}^{16 x}}}{\frac {3}{2 x}+11+3 x} \]
command
Int[(E^E^(16*x)*(6 - 12*x^2 + E^(16*x)*(96*x + 704*x^2 + 192*x^3)))/(9 + 132*x + 520*x^2 + 264*x^3 + 36*x^4),x]
Rubi 4.17.3 under Mathematica 13.3.1 output
\[ \int \frac {e^{e^{16 x}} \left (6-12 x^2+e^{16 x} \left (96 x+704 x^2+192 x^3\right )\right )}{9+132 x+520 x^2+264 x^3+36 x^4} \, dx \]
Rubi 4.16.1 under Mathematica 13.3.1 output
\[ \frac {2 e^{e^{16 x}} \left (6 x^3+22 x^2+3 x\right )}{36 x^4+264 x^3+520 x^2+132 x+9} \]