100.119 Problem number 4972

\[ \int -\frac {440}{576+4 e^{16}-2640 x+3025 x^2+e^8 (-96+220 x)} \, dx \]

Optimal antiderivative \[ \frac {4}{\frac {55 x}{2}+{\mathrm e}^{8}-12} \]

command

integrate(-440/(4*exp(8)^2+(220*x-96)*exp(8)+3025*x^2-2640*x+576),x, algorithm="giac")

Giac 1.9.0-11 via sagemath 9.6 output

\[ \frac {8}{55 \, x + 2 \, e^{8} - 24} \]

Giac 1.7.0 via sagemath 9.3 output

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