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Find-0-1-cos-ax-x-1-x-dx-




Question Number 163899 by HongKing last updated on 11/Jan/22
Find:  𝛀 = ∫_( 0) ^( 1)  ((cos(ax))/( (√x) ∙ (√(1 - x)))) dx
$$\mathrm{Find}:\:\:\boldsymbol{\Omega}\:=\:\underset{\:\mathrm{0}} {\overset{\:\mathrm{1}} {\int}}\:\frac{\mathrm{cos}\left(\mathrm{ax}\right)}{\:\sqrt{\mathrm{x}}\:\centerdot\:\sqrt{\mathrm{1}\:-\:\mathrm{x}}}\:\mathrm{dx} \\ $$
Answered by Kamel last updated on 11/Jan/22
Ω(a)=πcos((a/2))J_0 ((a/2))
$$\Omega\left({a}\right)=\pi{cos}\left(\frac{{a}}{\mathrm{2}}\right){J}_{\mathrm{0}} \left(\frac{{a}}{\mathrm{2}}\right) \\ $$
Answered by mindispower last updated on 14/Jan/22

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