Question Number 222285 by Shrodinger last updated on 21/Jun/25

$$\int\frac{{x}^{\mathrm{5}} −{x}^{\mathrm{3}} +\mathrm{2}{x}+\mathrm{1}}{{x}^{\mathrm{4}} +\mathrm{1}}\:{e}^{−\frac{\mathrm{1}}{\mathrm{4}}{ln}\left({x}^{\mathrm{4}} +\mathrm{1}\right)} {dx} \\ $$