\[ \int \frac {-5124800+1310720 e^{15} x^3-131072 e^{20} x^4+e^5 (19200+8199680 x)+e^{10} \left (-7680 x-4917504 x^2\right )}{23011209+15350400 x+2560000 x^2+e^5 \left (-36840960 x-24568320 x^2-4096000 x^3\right )+e^{10} \left (22113792 x^2+14744064 x^3+2457600 x^4\right )+e^{15} \left (-5898240 x^3-3932160 x^4-655360 x^5\right )+e^{20} \left (589824 x^4+393216 x^5+65536 x^6\right )} \, dx \]
Optimal antiderivative \[ \frac {5+x}{3+x -\frac {3}{16 \left (2 x \,{\mathrm e}^{5}-5\right ) \left (8 x \,{\mathrm e}^{5}-20\right )}} \]
command
integrate((-131072*x^4*exp(5)^4+1310720*x^3*exp(5)^3+(-4917504*x^2-7680*x)*exp(5)^2+(8199680*x+19200)*exp(5)-5124800)/((65536*x^6+393216*x^5+589824*x^4)*exp(5)^4+(-655360*x^5-3932160*x^4-5898240*x^3)*exp(5)^3+(2457600*x^4+14744064*x^3+22113792*x^2)*exp(5)^2+(-4096000*x^3-24568320*x^2-36840960*x)*exp(5)+2560000*x^2+15350400*x+23011209),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ \frac {512 \, x^{2} e^{10} - 2560 \, x e^{5} + 3203}{256 \, x^{3} e^{10} + 768 \, x^{2} e^{10} - 1280 \, x^{2} e^{5} - 3840 \, x e^{5} + 1600 \, x + 4797} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \text {Exception raised: TypeError} \]________________________________________________________________________________________