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

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

Text Solution

Verified by Experts

The correct Answer is:

`pi log2`

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Similar Questions

Explore conceptually related problems

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

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

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

The value of int_(0)^(1) (log(1+x)dx)/(1+x^(2)) is -

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

The value of int_(0)^(oo) (x dx)/((1+x)(1+x^(2))) is equal to -

int_(-oo)^(oo)(1)/(1+x^2) dx

The value of int_(0)^(oo)(logx)/(a^(2)+x^(2))dx is

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

int_(0)^(1)x(tan^(-1)x)^(2)dx

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