Use Any Method to Evaluate the Integral $$\int 6 x \sin ^ { 2 } x d x$$

Multiple Choice

Use any method to evaluate the integral.
- $$\int 6 x \sin ^ { 2 } x d x$$

A) $3 x ^ { 2 } - \frac { 3 } { 2 } \sin 2 x - \frac { 3 } { 4 } \cos 2 x + C$
B) $\frac { 3 } { 2 } x ^ { 2 } - \frac { 3 } { 2 } \sin 2 x - \frac { 3 } { 4 } \cos 2 x + C$
C) $6 x ^ { 2 } - 3 \sin 2 x - \frac { 3 } { 2 } \cos 2 x + C$
D) $3 x ^ { 2 } + \frac { \sin ^ { 3 } x } { 3 } + C$