$\text { Find the arc length of the graph of the function } y = \frac { 2 } { 3 } x ^ { \frac { 3 } { 2 } } + 2 \text { over the interval [14, }$

Multiple Choice

$\text { Find the arc length of the graph of the function } y = \frac { 2 } { 3 } x ^ { \frac { 3 } { 2 } } + 2 \text { over the interval [14, }$ $16$ ].

A) $17 \sqrt { 17 } - 15 \sqrt { 15 }$
B) $\frac { 2 } { 3 } ( 17 \sqrt { 17 } - 15 \sqrt { 15 } )$
C) $\frac { 3 } { 2 } ( 17 \sqrt { 17 } + 15 \sqrt { 15 } )$
D) $\frac { 3 } { 2 } ( 17 \sqrt { 17 } - 15 \sqrt { 15 } )$
E) $\frac { 2 } { 3 } ( 17 \sqrt { 17 } + 15 \sqrt { 15 } )$