Evaluate the Integral $$\int \sin 7 x \cos 4 x d x$$

Multiple Choice

Evaluate the integral.
- $$\int \sin 7 x \cos 4 x d x$$

A) $\frac { 1 } { 6 } \sin 3 x - \frac { 1 } { 22 } \sin 11 x + C$
B) $- \frac { 1 } { 22 } \cos 11 x - \frac { 1 } { 22 } \sin 11 x + C$
C) $- \frac { 1 } { 22 } \cos 11 x - \frac { 1 } { 6 } \cos 3 x + C$
D) $\frac { 1 } { 6 } \sin 3 x + \frac { 1 } { 22 } \sin 11 x + C$