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Evaluate: int(-pi/2)^(pi/2)log((a-sin th...

Evaluate: `int_(-pi/2)^(pi/2)log((a-sin theta)/(a+sin theta)) d theta,a >0`

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`f(theta)=log((a-sintheta)/(a+sin theta))`
`:.f(-theta)=log((a+sin theta)/(a-sin theta))`
`=-log((a-sin theta)/(a+sin theta))`
`=-f(theta)`
Hence the integrand is anodd function.
So, the given integral is zero.
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