Question Number 147943 by mathdanisur last updated on 24/Jul/21
$$\int\:\frac{\left({x}^{\mathrm{2}} \:+\:{x}\right)^{\mathrm{2}} }{{x}\:+\:\mathrm{1}}\:=\:? \\ $$
Commented by tabata last updated on 24/Jul/21
$$=\int\:\frac{{x}^{\mathrm{2}} \left({x}+\mathrm{1}\right)^{\mathrm{2}} }{\left({x}+\mathrm{1}\right)}{dx}=\int\:{x}^{\mathrm{2}} \left({x}+\mathrm{1}\right){dx}=\frac{{x}^{\mathrm{4}} }{\mathrm{4}}+\frac{{x}^{\mathrm{3}} }{\mathrm{3}}+{C} \\ $$$$ \\ $$$$\langle{M}.{T}\rangle \\ $$
Commented by mathdanisur last updated on 24/Jul/21
$${Thank}\:{you}\:{Ser} \\ $$
Commented by tabata last updated on 25/Jul/21
$${you}\:{are}\:{welcome} \\ $$