" (iv) "int(0)^(oo)log(x+(1)/(x))(dx)/(1...

" (iv) "int_(0)^(oo)log(x+(1)/(x))(dx)/(1+x^(2))

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Prove that : int_(0)^(oo) log (x+(1)/(x)). (dx)/(1+x^(2)) = pi log_(e) 2

Evaluate int_(0)^(oo)log(x+(1)/(x))(dx)/(1+x^(2))

int_(0)^(1)log((1-x)/(x))dx=0

Evaluate: int_(0)^(oo)log(x+(1)/(x))(dx)/(1+x^(2))

The value of int_(0)^(oo)log(x+1//x)(dx)/(1+x^(2)) is a) pilog2 b) 2pilog2 c) -pilog2 d) -2pilog2

int_(0)^(1)(log(1+x))/(1+x)dx

int_(0)^(oo)(log(1+x^(2)))/(1+x^(2))dx=

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