Integration of the function with good substitution

Question

$$\int\frac{\ln(x)}{1+\ln(x)^2}\mathrm{d}x$$ I surely know the integral would be of $u/v$ type but I am not getting any good substitution to go for it. I think $\log(x)=e^t$ would be good as we get again an $e^{e^t}$ so everything now is in $e$ but I can't go further with it. Thanks!