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" 214."int(0)^( pi/2)(sqrt(cos x))/((sqr...

" 214."int_(0)^( pi/2)(sqrt(cos x))/((sqrt(cos x+sqrt(sin x)))dx=?

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int_(0)^((pi)/(2))(sqrt(sin x))/(sqrt(sin x)+sqrt(cos x))dx

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Prove that : int_(0)^(pi//2) (sqrt(cos x))/(sqrt(sin x+ sqrt(cos x)))dx=(pi)/(4)

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