$\int \frac{1}{x.lnx}.dx=?$ | What is integral of 1/x.lnx?

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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

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

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