Find the Indefinite Integral of the Following Function $\int 4 x ^ { 3 } \cos x ^ { 4 } d x$

Multiple Choice

Find the indefinite integral of the following function. $\int 4 x ^ { 3 } \cos x ^ { 4 } d x$

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