The Indefinite Integral $\int x \sqrt { x + 1 } d x$

Multiple Choice

The indefinite integral $\int x \sqrt { x + 1 } d x$ is

A) $\frac { 1 } { 15 } ( x + 1 ) ^ { 3 / 2 } ( 3 x - 2 ) + C$
B) $\frac { 2 } { 15 } ( x + 1 ) ^ { 3 / 2 } ( 3 x - 2 ) + C$
C) $\frac { 1 } { 15 } ( x + 1 ) ^ { 3 / 2 } ( 2 - 3 x ) + C$
D) $\frac { 2 } { 15 } ( x + 1 ) ^ { 3 / 2 } ( 3 x - 1 ) + C$
E) $\frac { 1 } { 15 } ( x + 1 ) ^ { 3 / 2 } ( 1 - 3 x ) + C$