Use Integration to Find a General Solution of the Differential $\frac { d y } { d x } = x \sqrt { x + 2 }$

Multiple Choice

Use integration to find a general solution of the differential equation. $\frac { d y } { d x } = x \sqrt { x + 2 }$

A) $y = \frac { 2 } { 5 } ( x + 2 ) ^ { 3 / 2 } - \frac { 4 } { 3 } ( x + 2 ) ^ { 5 / 2 } + C$
B) $y = \frac { 2 } { 5 } ( x + 2 ) ^ { 3 / 2 } - ( x + 2 ) ^ { 3 / 2 } + C$
C) $y = \frac { 2 } { 5 } ( x + 2 ) ^ { 5 / 2 } - \frac { 4 } { 3 } ( x + 2 ) ^ { 3 / 2 } + C$
D) $y = \frac { 2 } { 5 } ( x + 2 ) ^ { 3 / 2 } + \frac { 4 } { 3 } ( x + 2 ) ^ { 5 / 2 } + C$
E) $y = \frac { 2 } { 5 } ( x + 2 ) ^ { 2 } - \frac { 4 } { 3 } ( x + 2 ) + C$