You can reach integral of 1/x.lnx answer on this page.
What is integral of ∫1/x.lnx.dx?
Question:
$int frac{1}{x.lnx}.dx=?$
Solution:
Substituting $u = lnx$ and $du = frac{1}{x}dx$, you get
$int frac{1}{x.lnx}.dx=int frac{1}{u}.du=ln|u|+C = ln|lnx| + C$
$int frac{1}{x.lnx}.dx=ln|lnx| + C$
