Integrate : $\int \large\frac{1}{x \log _e x \log ( \log _e x)}$$dx$

Question

$$\begin {array} {1 1} (a)\;\log_e | \log (\log _e x)|+c\\ (b)\;| \log (\log _e x)|+c \\ (c)\;\log \log_e | \log (\log _e x)|+c \\ (d)\;x^2 +c \end {array}$$