$$

LARCALC$127\mathrm{.}4\mathrm{.}013.$MI$.$

ASK YOUR TEACHER

Find the arc length of the graph of the function over the indicated interval. $($Round your answer to three decimal places.$)$

$y=\frac{x^5}{10}+\frac{1}{6x^3},[1,6]$

$$

Show My Work $($Optional$)$

$12.$

DETAILS

LARCALC$127\mathrm{.}4\mathrm{.}030.$

ASK YOUR TEACHER

Consider the following.

$x=\sqrt[\phantom{2}]{64-y^2},0y6$ cannot be evaluated with the techniques studied so far.

${\displaystyle \underset{0}{\overset{6}{}}}()dy$

$($b$)$ Use the integration capabilities of a graphing utility to approximate the arc length. $($Round your answer to three decimal places.$)$