Use Integration by Parts to Find the Indefinite Integral $\int x \cos 2 x d x$

Multiple Choice

Use integration by parts to find the indefinite integral. $\int x \cos 2 x d x$

A) $\frac { 1 } { 2 } x \cos 2 x - \frac { 1 } { 4 } \sin 2 x + C$
B) $\frac { 1 } { 2 } x \sin 2 x - \frac { 1 } { 4 } \cos 2 x + C$
C) $\frac { 1 } { 2 } \sin 2 x + \frac { 1 } { 2 } \cos 2 x + C$
D) $\frac { 1 } { 2 } x \sin 2 x + \frac { 1 } { 4 } \cos 2 x + C$
E) $\frac { 1 } { 4 } x \cos 2 x + \frac { 1 } { 2 } \sin 2 x + C$