$2\mathrm{.}2$ Determining Volumes by Slicing: Problem $6$

$(6$ points$)$

The volume of the solid obtained by rotating the region enclosed by

$x=0,y=1,x=y^5$

about the line $y=1$ can be computed using the method of disks or washers via an integral

$V={\displaystyle \underset{a}{\overset{b}{}}}o+C^{o}dxvv$

with limits of integration $a=$

$$ and $b=$

The volume is $V=$ cubic units.

Note: You can earn full credit if the last question is correct and all other questions are either blank or correct.