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Evaluate int0^1 (1-x)/(1+x) dx...

Evaluate `int_0^1 (1-x)/(1+x) dx`

A

`(log2+1)`

B

`(log2-1)`

C

`(2log2-1)`

D

`(2log2+1)`

Text Solution

Verified by Experts

`I=int_(0)^(1)(-1+(2)/(x+1))dx=[-x+2log|x+1|]_(0)^(1)=(2log2-1)`.
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