Question Number 163899 by HongKing last updated on 11/Jan/22
$$\mathrm{Find}:\:\:\boldsymbol{\Omega}\:=\:\underset{\:\mathrm{0}} {\overset{\:\mathrm{1}} {\int}}\:\frac{\mathrm{cos}\left(\mathrm{ax}\right)}{\:\sqrt{\mathrm{x}}\:\centerdot\:\sqrt{\mathrm{1}\:-\:\mathrm{x}}}\:\mathrm{dx} \\ $$
Answered by Kamel last updated on 11/Jan/22
$$\Omega\left({a}\right)=\pi{cos}\left(\frac{{a}}{\mathrm{2}}\right){J}_{\mathrm{0}} \left(\frac{{a}}{\mathrm{2}}\right) \\ $$
Answered by mindispower last updated on 14/Jan/22