Find the Integral $\int \sin ^{3} x \cos ^{6} x d x$

Multiple Choice

Find the integral. $\int \sin ^{3} x \cos ^{6} x d x$

A) $-\frac{1}{7} \cos ^{7} x+\frac{1}{5} \cos ^{5} x+C$
B) $\frac{1}{7} \cos ^{7} x-\frac{1}{5} \cos ^{5} x+C$
C) $-\frac{1}{9} \cos ^{9} x+\frac{1}{7} \cos ^{7} x+C$
D) $\frac{1}{9} \cos ^{9} x-\frac{1}{7} \cos ^{7} x+C$