Find the Length of the Curve $$y = \frac { 1 } { 6 } \left( x ^ { 2 } + 4 \right) ^ { 3 / 2 } , 0 \leq x \leq 4$$

Multiple Choice

Find the length of the curve.
$$y = \frac { 1 } { 6 } \left( x ^ { 2 } + 4 \right) ^ { 3 / 2 } , 0 \leq x \leq 4$$

A) $15.3333$
B) $14.3333$
C) $14.0000$
D) $14.6667$
E) $13.6667$