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Evaluate the following: int(-1//2)^(1//2...

Evaluate the following: `int_(-1//2)^(1//2)cos x "log" (1-x)/(1+x)dx`

Text Solution

Verified by Experts

The correct Answer is:
`0`
Since `cosx "log" (1-x)/(1+x)` is an odd function of `x`,
`int_(-1//2)^(1//2)cos x "log"(1-x)/(1+x)dx=0`
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