Evaluate the Integral Using Integration by Parts $\int x$ $\sqrt { x + 1 }$

Multiple Choice

Evaluate the integral using integration by parts.
- $\int x$ $\sqrt { x + 1 }$ dx

A) $\frac { 2 } { 3 }$ $( x + 1 ) ^ { 3 / 2 }$ - $\frac { 4 } { 15 }$ $( x + 1 ) ^ { 5 / 2 }$ + C
B) $\frac { 2 } { 3 }$ x $( x + 1 ) ^ { 3 / 2 }$ - $\frac { 4 } { 15 }$ $( x + 1 ) ^ { 5 / 2 }$ + C
C) x $( x + 1 ) ^ { 3 / 2 }$ - $( x + 1 ) ^ { 5 / 2 }$ + C
D) $( x + 1 ) ^ { 3 / 2 }$ + $( x + 1 ) ^ { 5 / 2 }$ + C