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int(0) ^(pi//2) (sin x) /(sin x + cos x ...

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

A

`1/(2sqrt(2)) log ((sqrt(2)+1)/(sqrt(2)-1))`

B

`1/(2sqrt(2)) log ((sqrt(2)-1)/(sqrt(2)+1))`

C

`1/(sqrt(2)) log ((sqrt(2)+1)/(sqrt(2)-1))`

D

`1/(sqrt(2)) log ((sqrt(2)-1)/(sqrt(2)+1))`

Text Solution

Verified by Experts

The correct Answer is:
A
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