\[ \int \frac {752+256 e^3}{2209+256 e^6+e^3 (1504-2560 x)-7520 x+6400 x^2} \, dx \]
Optimal antiderivative \[ \frac {x}{\frac {47}{16}-5 x +{\mathrm e}^{3}}-1 \]
command
integrate((256*exp(3)+752)/(256*exp(3)^2+(-2560*x+1504)*exp(3)+6400*x^2-7520*x+2209),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ -\frac {16 \, e^{3} + 47}{5 \, {\left (80 \, x - 16 \, e^{3} - 47\right )}} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \text {Exception raised: NotImplementedError} \]________________________________________________________________________________________