Evaluate the Integral by Using a Substitution Prior to Integration $$\int x ^ { 2 } \sqrt { x + 5 } d x$$

Multiple Choice

Evaluate the integral by using a substitution prior to integration by parts.
- $$\int x ^ { 2 } \sqrt { x + 5 } d x$$

A) $\frac { \left( 15 x ^ { 2 } - 60 x + 200 \right) ( x + 5 ) ^ { 3 / 2 } } { 105 } + C$
B) $\frac { \left( 30 x ^ { 2 } - 120 x + 80 \right) ( x + 5 ) ^ { 3 / 2 } } { 105 } + C$
C) $\frac { \left( 30 x ^ { 2 } - 120 x + 400 \right) \sqrt { ( x + 5 ) } } { 105 } + C$
D) $\frac { \left( 30 x ^ { 2 } - 120 x + 400 \right) ( x + 5 ) ^ { 3 / 2 } } { 105 } + C$