सिद्ध कीजिए कि int(0)^(oo) log(x+(1)/(x)...

सिद्ध कीजिए कि `int_(0)^(oo) log(x+(1)/(x))(dx)/(1+x^(2))=pi log2`

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

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

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

int_(0)^(1)x log (1+2 x)dx

int_(0)^(1)x log (1+2 x)dx

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

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

int_(a=)^(oo)ln(x+(1)/(x))(dx)/(1+x^(2))dx=(pi)/(2)ln a then

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

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