Question Number 195468 by Calculusboy last updated on 03/Aug/23
$$\int\frac{{x}^{\mathrm{5}} +{x}^{\mathrm{2}} }{\left({x}^{\mathrm{6}} +\mathrm{2}{x}^{\mathrm{3}} \right)^{\mathrm{7}} }{dx} \\ $$
Answered by Frix last updated on 03/Aug/23
$${t}={x}^{\mathrm{6}} +\mathrm{2}{x}^{\mathrm{3}} \\ $$$$=\frac{\mathrm{1}}{\mathrm{6}}\int\frac{{dt}}{{t}^{\mathrm{7}} }=−\frac{\mathrm{1}}{\mathrm{36}{t}^{\mathrm{6}} }=−\frac{\mathrm{1}}{\mathrm{36}{x}^{\mathrm{18}} \left({x}^{\mathrm{3}} +\mathrm{2}\right)^{\mathrm{6}} }+{C} \\ $$
Commented by Calculusboy last updated on 04/Aug/23
$${please}\:{solution}\:{sir} \\ $$