Evaluate the Integral $\int x ( x - 2 ) ^ { 3 } \mathrm {~d} x$

Evaluate the integral.
$\int x ( x - 2 ) ^ { 3 } \mathrm {~d} x$

A) $x ( x - 2 ) ^ { 5 } + ( x - 2 ) ^ { 4 } + C$
B) $\frac { x ( x - 2 ) ^ { 4 } } { 4 } - \frac { ( x - 2 ) ^ { 5 } } { 20 } + C$
C) $\frac { ( x - 2 ) ^ { 5 } } { 5 } - \frac { ( x - 2 ) ^ { 4 } } { 2 } + C$
D) $\frac { ( x - 2 ) ^ { 5 } } { 5 } + \frac { ( x - 2 ) ^ { 4 } } { 2 } + C$
E) $\frac { ( x - 2 ) ^ { 4 } } { 4 } - \frac { ( x - 2 ) ^ { 5 } } { 5 } + C$

Correct Answer:

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