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int(0)^(pi//2)(sqrt(cosx)/(sqrt(sinx)+sq...

`int_(0)^(pi//2)(sqrt(cosx)/(sqrt(sinx)+sqrt(cosx)))dx` is equal to

Text Solution

Verified by Experts

The correct Answer is:
`pi/4`
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int_0^(pi/2) sqrt(sinx)/(sqrtsinx+sqrtcosx)dx is equal to :

Show that : int_(0)^(pi/2)sqrt(sinx)/(sqrt(sinx)+sqrt(cosx))dx=pi/4 .