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Prove that: int_(-a)^(a) log ((2-x)/(2+x)) dx=0

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SOLUTION :`"Let " f(x) =log ((2-x)/(2+x))`
`RARR ""f(-x) =log ((2+x)/(2-x))`
`=-log ((2-x)/(2+x))=-f(x)`
`rArr ` f(x) is an ODD FUNCTION .
`rArr ""int_(-a)^(a) f(x) dx=0`
`rArr int_(-1)^(1) log ((2-x)/(2+x)) dx=0` HENCE Proved


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