Question Number 137896 by bemath last updated on 08/Apr/21
$$\underset{\mathrm{0}} {\int}^{\:\infty} \:\frac{{x}^{\mathrm{3}} +{x}+\mathrm{1}}{\:\sqrt[{\mathrm{3}}]{{x}}\:\left({x}^{\mathrm{4}} +{x}^{\mathrm{2}} +\mathrm{1}\right)}\:{dx}\:=? \\ $$