Finding definite integral (LNX) ^ 2 / 1 + X

Finding definite integral (LNX) ^ 2 / 1 + X

Is (LNX) ^ (1 / 2) + X Warning:Explicit integral could not be found.
(lnx)^2/1+x log(x)^2*x-2*x*log(x)+2*x+1/2*x^2
Log (x) is LNX