Question Number 107197 by john santu last updated on 09/Aug/20
![⊵JS⊴ ∫ _0 ^( π/6) sin^2 (6x) cos^4 (3x) dx ? [ by using the Gamma function ]](https://www.tinkutara.com/question/Q107197.png)
$$\:\:\:\:\:\trianglerighteq\mathrm{JS}\trianglelefteq \\ $$$$\int\overset{\:\pi/\mathrm{6}} {\:}_{\mathrm{0}} \mathrm{sin}\:^{\mathrm{2}} \left(\mathrm{6x}\right)\:\mathrm{cos}\:^{\mathrm{4}} \left(\mathrm{3x}\right)\:\mathrm{dx}\:? \\ $$$$\left[\:\mathrm{by}\:\mathrm{using}\:\mathrm{the}\:\mathcal{G}\mathrm{amma}\:\mathrm{function}\:\right] \\ $$