In the integral $\int \frac { \ln \sqrt { x } } { \sqrt { x } } d x$, if the substitution $u = \sqrt { x }$ is made, which of the following integrals is obtained?\\
A) $\int \ln u \, d u$\\
B) $\int 2 \ln u \, d u$\\
C) $\int \frac { \ln u } { u } d u$\\
D) $\int \frac { \ln u } { 2 u } d u$\\
E) $\int u \ln u \, d u$