Find the Length of the Curve $$y = \frac { 1 } { 6 } x ^ { 3 } + \frac { 1 } { 2 x } \text { from } x = 1 \text { to } x = 5$$

Multiple Choice

Find the length of the curve.
- $$y = \frac { 1 } { 6 } x ^ { 3 } + \frac { 1 } { 2 x } \text { from } x = 1 \text { to } x = 5$$

A) $\frac { 316 } { 15 }$
B) $\frac { 127 } { 6 }$
C) $\frac { 79 } { 5 }$
D) $\frac { 632 } { 15 }$