100.31 Problem number 1290

\[ \int \frac {-264+192 x}{256+16 e^6-352 x+249 x^2-88 x^3+16 x^4+e^3 \left (-128+88 x-32 x^2\right )} \, dx \]

Optimal antiderivative \[ \frac {6}{\frac {11 x}{4}-x^{2}-4+{\mathrm e}^{3}} \]

command

integrate((192*x-264)/(16*exp(3)^2+(-32*x^2+88*x-128)*exp(3)+16*x^4-88*x^3+249*x^2-352*x+256),x, algorithm="giac")

Giac 1.9.0-11 via sagemath 9.6 output

\[ -\frac {24}{4 \, x^{2} - 11 \, x - 4 \, e^{3} + 16} \]

Giac 1.7.0 via sagemath 9.3 output

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