$\text { Find the arc length of the graph of the function } y = \frac { 3 } { 2 } x ^ { \frac { 2 } { 3 } } + 10 \text { over the interval }$

Multiple Choice

$\text { Find the arc length of the graph of the function } y = \frac { 3 } { 2 } x ^ { \frac { 2 } { 3 } } + 10 \text { over the interval }$ [1,64].

A) $17 \sqrt [ 3 ] { 17 } - 2 \sqrt [ 3 ] { 2 }$
B) $19 \sqrt { 19 } - 2 \sqrt { 2 }$
C) $17 \sqrt { 17 } - 2 \sqrt { 2 }$
D) $19 \sqrt [ 3 ] { 19 } - 10 \sqrt [ 3 ] { 10 }$
E) $17 \sqrt { 17 } - 10 \sqrt { 10 }$