100.163 Problem number 6850

\[ \int -\frac {288 e^{15} x^2}{e^{30}+32 e^{15} x^3+256 x^6} \, dx \]

Optimal antiderivative \[ \frac {6 x}{x +16 \,{\mathrm e}^{-3} {\mathrm e}^{-12} x^{4}} \]

command

integrate(-288*x^2*exp(3)^5/(exp(3)^10+32*x^3*exp(3)^5+256*x^6),x, algorithm="giac")

Giac 1.9.0-11 via sagemath 9.6 output

\[ \frac {6 \, e^{15}}{16 \, x^{3} + e^{15}} \]

Giac 1.7.0 via sagemath 9.3 output

\[ \text {Exception raised: NotImplementedError} \]________________________________________________________________________________________