Evaluate the Integral by Using a Substitution Prior to Integration $$\int \cos ( \ln x ) d x$$

Multiple Choice

Evaluate the integral by using a substitution prior to integration by parts.
- $$\int \cos ( \ln x ) d x$$

A) $x [ \cos ( \ln x ) + \sin ( \ln x ) ] + C$
B) $\frac { x } { 2 } [ \cos ( \ln x ) + \sin ( \ln x ) ] + C$
C) $x \cos ( \ln x ) + \sin ( \ln x ) + C$
D) $\frac { x } { 2 } [ \cos ( \ln x ) - \sin ( \ln x ) ] + C$