# What is the antiderivative of [ln(ln x)]/x?

Mar 1, 2016

$\ln x \cdot \ln \left(\ln x\right) - \ln x$

#### Explanation:

let lnx = t from there $\frac{1}{x} \cdot \mathrm{dx}$= $\mathrm{dt}$
further integrate ln(t) = $t \cdot \ln t - t$
put value of t. you will get the answer