Question

Integrate $\int \frac{\log \left(\log x\right)}{x}dx$

Answer 1

$\int \frac{\log \left(\log x\right)}{x}dx$
$putting\log x=t$
$=\int 1.\log tdt$
$=\log t\times t-\int \frac{1}{t}\times t\times dt$
$=t\log t=t+c$
$=\log x\log \left(\log x\right)-\log x+c$