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

" 7."int_(0)^(oo)log(*x+(1)/(x))((dx)/(1+x^(2)))

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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

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

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

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

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

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

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