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
$\int \frac{1}{x.lnx}.dx=\int \frac{1}{u}.du=ln|u|+C = ln|lnx| + C$
$\int \frac{1}{x.lnx}.dx=ln|lnx| + C$
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