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Show that int(0)^(pi//2) (x)/(sinx+cosx)...

Show that `int_(0)^(pi//2) (x)/(sinx+cosx)dx=(pi)/(2sqrt(2))log (sqrt(2)+1)` .

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Verified by Experts

The correct Answer is:
`=(pi)/(2sqrt(2))log (sqrt(2)+1)`
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