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सिद्ध कीजिए कि int(0)^(pi//2) sqrt(cot...

सिद्ध कीजिए कि
`int_(0)^(pi//2) sqrt(cot x)/(1 + sqrt(cot x)) dx= int_(0)^(pi//2) 1/(1 + sqrt(tan x )) dx `
` = int_(0)^(pi//2) sqrt(cos x)/(sqrt(sin x ) + sqrt(cos x)) dx = pi/4`

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