\[ \int \frac {e^{\frac {-942080000-1040384000 x-455411200 x^2-98920960 x^3-10674689 x^4-458240 x^5}{40960000+32768000 x+9830400 x^2+1310720 x^3+65536 x^4}} \left (-358400000-358240000 x-143248000 x^2-28643205 x^3-2864000 x^4-114560 x^5\right )}{51200000+51200000 x+20480000 x^2+4096000 x^3+409600 x^4+16384 x^5} \, dx \]
Optimal antiderivative \[ {\mathrm e}^{3 x +x^{2}+2-\left (\frac {x^{2}}{256 \left (5+x \right )^{2}}-5-x \right )^{2}} \]
command
int((-114560*x^5-2864000*x^4-28643205*x^3-143248000*x^2-358240000*x-358400000)*exp((-458240*x^5-10674689*x^4-98920960*x^3-455411200*x^2-1040384000*x-942080000)/(65536*x^4+1310720*x^3+9830400*x^2+32768000*x+40960000))/(16384*x^5+409600*x^4+4096000*x^3+20480000*x^2+51200000*x+51200000),x)
Maple 2022.1 output
\[{\mathrm e}^{-\frac {458240 x^{5}+10674689 x^{4}+98920960 x^{3}+455411200 x^{2}+1040384000 x +942080000}{65536 \left (x^{4}+20 x^{3}+150 x^{2}+500 x +625\right )}}\]
Maple 2021.1 output
hanged__________________________________________________________________________________