Determine the Integral by Making an Appropriate Substitution $\int$ $\frac { \ln \sqrt { x } } { x }$

Multiple Choice

Determine the integral by making an appropriate substitution.
- $\int$ $\frac { \ln \sqrt { x } } { x }$ dx   Use the substitution u =ln $\sqrt { x }$ .

A) $( \ln x ) ^ { 2 }$ + C
B) 2(ln $\sqrt { x }$ $2$ + C
C) $\frac { ( \ln x ) ^ { 2 } } { 4 }$ + C
D) $\frac { 1 } { 2 }$ $( \ln \sqrt { x } ) ^ { 2 }$ + C
E) none of these