Question Number 85592 by sahnaz last updated on 23/Mar/20
$$\int\frac{\left(\mathrm{u}+\mathrm{1}\right)^{\mathrm{2}} }{\mathrm{u}^{\mathrm{3}} +\mathrm{u}}\mathrm{du} \\ $$
Answered by john santu last updated on 23/Mar/20
$$\int\:\frac{\mathrm{1}}{{x}}{dx}\:+\:\int\:\frac{\mathrm{2}}{{x}^{\mathrm{2}} +\mathrm{1}}\:{dx} \\ $$$$=\:\mathrm{ln}\:\mid{x}\mid\:+\:\mathrm{2}\:\mathrm{arc}\:\mathrm{tan}\:\left({x}\right)\:+\:{c}\: \\ $$