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. Select the correct answer.
$$y = \frac { 1 } { 6 } \left( x ^ { 2 } + 4 \right) ^ { 3 / 2 } , 0 \leq x \leq 4$$

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