Question Number 164683 by Zaynal last updated on 20/Jan/22
$$\int\frac{\boldsymbol{{x}}^{\mathrm{2}} }{\left(\boldsymbol{{x}}+\mathrm{7}\right)^{\mathrm{4}} }\boldsymbol{{dx}} \\ $$
Answered by Ar Brandon last updated on 20/Jan/22
$$=\int\frac{\left({x}+\mathrm{7}−\mathrm{7}\right)^{\mathrm{2}} }{\left({x}+\mathrm{7}\right)^{\mathrm{4}} }{dx} \\ $$$$=\int\left(\frac{\mathrm{1}}{\left({x}+\mathrm{7}\right)^{\mathrm{2}} }−\frac{\mathrm{14}}{\left({x}+\mathrm{7}\right)^{\mathrm{3}} }+\frac{\mathrm{49}}{\left({x}+\mathrm{7}\right)^{\mathrm{4}} }\right){dx} \\ $$