$\begin{align*} \int \frac{dx}{x(1+\log x)^3} \end{align*}$ is equal to :

Question

( A ) $\frac{1}{(1+\log x) }+c$
( B ) $-\frac{1}{3(1+\log x)^3 }+c$
( C ) $-\frac{1}{2(1+\log x)^2 }+c$
( D ) $\frac{1}{2(1+\log x)^2 }+c$