Consider the two parabolas with equations
![\[ y^2 = 2(x-1), \qquad \text{and} \qquad y^2 = 4(x-2). \]](http://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-66f180519718bb5bf48fdbd175ec2cf5_l3.png "Rendered by QuickLaTeX.com")
These two parabolas enclose a region 
.
- Compute the area of the region using integration.
- Find the volume of the solid of revolution obtained by revolving about the
-axis.
- Find the volume of the solid of revolution obtained by revolving about the
-axis.
Incomplete.