\[ \int \frac {e^{-\frac {2}{-45 x^3+9 x^4+e^6 \left (-45 x+9 x^2\right )+e^3 \left (90 x^2-18 x^3\right )}} \left (30 x-8 x^2+e^3 (-10+4 x)\right )}{-225 x^5+90 x^6-9 x^7+e^9 \left (225 x^2-90 x^3+9 x^4\right )+e^6 \left (-675 x^3+270 x^4-27 x^5\right )+e^3 \left (675 x^4-270 x^5+27 x^6\right )} \, dx \]
Optimal antiderivative \[ {\mathrm e}^{-\frac {2}{3 x \left (-x +{\mathrm e}^{3}\right ) \left (-3 x +3 \,{\mathrm e}^{3}\right ) \left (-5+x \right )}} \]
command
Int[(30*x - 8*x^2 + E^3*(-10 + 4*x))/(E^(2/(-45*x^3 + 9*x^4 + E^6*(-45*x + 9*x^2) + E^3*(90*x^2 - 18*x^3)))*(-225*x^5 + 90*x^6 - 9*x^7 + E^9*(225*x^2 - 90*x^3 + 9*x^4) + E^6*(-675*x^3 + 270*x^4 - 27*x^5) + E^3*(675*x^4 - 270*x^5 + 27*x^6))),x]
Rubi 4.17.3 under Mathematica 13.3.1 output
\[ \int \frac {\exp \left (-\frac {2}{-45 x^3+9 x^4+e^6 \left (-45 x+9 x^2\right )+e^3 \left (90 x^2-18 x^3\right )}\right ) \left (30 x-8 x^2+e^3 (-10+4 x)\right )}{-225 x^5+90 x^6-9 x^7+e^9 \left (225 x^2-90 x^3+9 x^4\right )+e^6 \left (-675 x^3+270 x^4-27 x^5\right )+e^3 \left (675 x^4-270 x^5+27 x^6\right )} \, dx \]
Rubi 4.16.1 under Mathematica 13.3.1 output
\[ e^{\frac {2}{9 (5-x) \left (e^3-x\right )^2 x}} \]