\[ \int -\frac {128 x}{4096 e^{32}+128 e^{16} x^2+x^4} \, dx \]
Optimal antiderivative \[ \frac {1}{{\mathrm e}^{16}+\frac {x^{2}}{64}} \]
command
integrate(-128*x/(4096*exp(16)^2+128*x^2*exp(16)+x^4),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ \frac {64}{x^{2} + 64 \, e^{16}} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \text {Exception raised: NotImplementedError} \]________________________________________________________________________________________