Determine the Integral by Making an Appropriate Substitution $\int \frac { 1 } { 4 \sqrt { x } } \sqrt [ 5 ] { 2 + \sqrt { x } }$

Multiple Choice

Determine the integral by making an appropriate substitution.
- $\int \frac { 1 } { 4 \sqrt { x } } \sqrt [ 5 ] { 2 + \sqrt { x } }$ dx

A) $\frac { 5 ( 2 + \sqrt { x } ) ^ { 6 / 5 } } { 24 }$ + C
B) $\frac { ( 2 + \sqrt { x } ) ^ { 6 } } { 12 }$ + C
C) $\frac { 5 ( 2 + \sqrt { x } ) ^ { 6 / 5 } } { 6 }$ + C
D) $\frac { 5 ( 2 + \sqrt { x } ) ^ { 6 / 5 } } { 12 }$ + C