Integrate $\int 3 \sin ^{2} x \cos x d x$ A) $\frac{3}{2} \sin ^{2} x \cos ^{2} x+C$

Integrate $\int 3 \sin ^{2} x \cos x d x$

A) $\frac{3}{2} \sin ^{2} x \cos ^{2} x+C$
B) $\sin ^{2} x \cos ^{2} x+C$
C) $\frac{1}{2} \sin ^{3} \mathrm{x} \cos ^{2} \mathrm{x}+\mathrm{C}$
D) $\sin ^{3} x+C$