Find the Length of the Curve $$y = \frac { 3 } { 8 } \left( x ^ { 4 / 3 } - 2 x ^ { 2 / 3 } \right) \text { from } x = 1 \text { to } x = 8$$

Multiple Choice

Find the length of the curve.
- $$y = \frac { 3 } { 8 } \left( x ^ { 4 / 3 } - 2 x ^ { 2 / 3 } \right) \text { from } x = 1 \text { to } x = 8$$

A) $\frac { 17 } { 2 }$
B) $\frac { 81 } { 8 }$
C) $\frac { 63 } { 8 }$
D) 23