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int(-a)^(a)log((a-x)/(a+x))dx=?...

`int_(-a)^(a)log((a-x)/(a+x))dx=?`

A

`2a`

B

`a`

C

`0`

D

`1`

Text Solution

Verified by Experts

`f(x)=log((a-x)/(a+x))`.
`impliesf(-x)=log((a+x)/(a-x))=log{((a-x)/(a+x))^(-1)}=-log((a-x)/(a+x))=-f(x)`
`:.f(x)` is odd and hence `I=0`.
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