Question Number 84957 by john santu last updated on 17/Mar/20
$$\int\:\left(\mathrm{2}−\mathrm{x}^{\mathrm{2}} \right)^{\mathrm{3}} \:\mathrm{dx}\:=\: \\ $$
Commented by john santu last updated on 17/Mar/20
$$\int\:\left(\mathrm{8}−\mathrm{3}\left(\mathrm{4x}^{\mathrm{2}} \right)+\mathrm{3}\left(\mathrm{2x}^{\mathrm{4}} \right)−\mathrm{x}^{\mathrm{6}} \right)\:\mathrm{dx}\:=\: \\ $$$$\int\:\left(\mathrm{8}−\mathrm{12x}^{\mathrm{2}} +\mathrm{6x}^{\mathrm{4}} −\mathrm{x}^{\mathrm{6}} \right)\:\mathrm{dx}\:=\: \\ $$$$\mathrm{8x}\:−\:\mathrm{4x}^{\mathrm{3}} +\frac{\mathrm{6}}{\mathrm{5}}\mathrm{x}^{\mathrm{5}} −\frac{\mathrm{1}}{\mathrm{7}}\mathrm{x}^{\mathrm{7}} \:+\mathrm{c}\: \\ $$$$ \\ $$