I have a problem when I want to find
$$\int\frac{1}{x\ln x}\ dx.$$
I don't know how to start with, can anyone give me a hint? Thanks.
2026-03-29 20:35:36.1774816536
Evaluate a primitive of $1/(x\ln x)$
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$$ \int\frac{1}{x\ln x}\ dx=\int\frac{1}{\ln x}\ d(\ln x)=\ln|\ln x|+C\quad;\ x>0. $$