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

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

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

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

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

Let A=int_(0)^(oo)(log x)/(1+x^(3))dx Then find the value of int_(0)^(oo)(x log x)/(1+x^(3))dx in terms of A

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

int_(0)^(oo) (ln x)/(x^(2)+a^(2))dx=

int_(0)^(1)(log x)/(sqrt(1-x^(2)))dx

If a,b>0 and int_(0)^(oo)(ln(bx))/(x^(2)+a^(2))dx=(pi)/(2a) then the value of (ab) is