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The value of int(-1)^(1) log ((x-1)/(x+1...

The value of `int_(-1)^(1) log ((x-1)/(x+1))dx` is

A

1

B

2

C

0

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
Let `f(x)=log((x-1)/(x+1))`
`f(-x)=log((-x-1)/(-x+1))=-log((x-1)/(x+1))=-f(x)`
`rArr f(x)` is an odd function.
`therefore " " int_(-1)^(1)log((x-1)/(x+1))dx=0`
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