Question Number 151893 by peter frank last updated on 24/Aug/21
$$ \\ $$$$\:\:\:\:\:\:\:\:\:\int\mathrm{x}\left(\mathrm{x}^{\mathrm{3}} +\mathrm{a}^{\mathrm{3}} \right)\mathrm{dx} \\ $$
Answered by puissant last updated on 24/Aug/21
$$=\int{x}^{\mathrm{4}} +{a}^{\mathrm{3}} {xdx} \\ $$$$=\frac{\mathrm{1}}{\mathrm{5}}{x}^{\mathrm{5}} +\frac{{a}^{\mathrm{3}} }{\mathrm{2}}{x}^{\mathrm{2}} +{C}.. \\ $$