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

सिद्ध कीजिए कि `int_(0)^(pi//2)(sqrt(tanx))/(sqrt(tanx)+sqrt(cotx))dx=(pi)/(4)`

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int_(0)^(pi//2)(sqrt(cotx))/(sqrt(tanx)+sqrt(cotx))dx=

Prove that : int_(0)^(pi//2) (sqrt(tanx))/(sqrt(tanx +sqrt(cotx)))dx=(pi)/(4)

Prove that : int_(0)^(pi//2) (sqrt(tanx))/(sqrt(tanx +sqrt(cotx)))dx=(pi)/(4)

int(sqrt(tanx) + sqrt(cotx))dx =

int_(0)^(pi//2)(sqrt(tanx)+sqrt(cotx))\ dx

int_(0)^(pi//2)(root3tanx)/((root3tanx+root3cotx))dx=?

int_(0)^((pi)/(2))(sqrt(cotx)dx)/(sqrt(cotx)+sqrt(tanx))

By using the properties of definte, prove that int_(0)^(pi//2)(sqrt(cotx))/(sqrt(tanx)+sqrt(cotx))=(pi)/4