Evaluate the Integral by Using a Substitution Prior to Integration $$\int x ^ { 2 } \sqrt { x + 17 } d x$$

Multiple Choice

Evaluate the integral by using a substitution prior to integration by parts.
- $$\int x ^ { 2 } \sqrt { x + 17 } d x$$

A) $\frac { \left( 30 x ^ { 2 } - 408 x + 4624 \right) ( x + 17 ) ^ { 3 / 2 } } { 105 } + C$
B) $\frac { \left( 30 x ^ { 2 } - 408 x + 272 \right) ( x + 17 ) ^ { 3 / 2 } } { 105 } + C$
C) $\frac { \left( 15 x ^ { 2 } - 204 x + 2312 \right) ( x + 17 ) ^ { 3 / 2 } } { 105 } + C$
D) $\frac { \left( 30 x ^ { 2 } - 408 x + 4624 \right) \sqrt { ( x + 17 ) } } { 105 } + C$