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Evaluate: int(-1/2)^(1/2)cosxlog(1-x)/(1...

Evaluate: `int_(-1/2)^(1/2)cosxlog(1-x)/(1+x)dx`

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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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CENGAGE PUBLICATION-DEFINITE INTEGRATION -CAE_TYPE
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  3. Evaluate: int(-1/2)^(1/2)cosxlog(1-x)/(1+x)dx

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  4. Evaluate: int(-(3pi)/2)^(-pi/2)[(x+pi)^3+cos^2(x+3pi)]dx

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