Page 69 - Calculus for the Clueless, Calc II

Let us try to do the same region R we had before and rotate it about the y-axis. We take the same region for two
reasons: (1) you do not have to worry about different curves, and (2) we would like to show the answers. are the
same.

Example 12—

We will do our region one last time about the x-axis.

The last part of this chapter is volume by sections. The sections are not circles but other shapes. Examples are
given.

Example 13—

2
Find the volume of the following figure: base bounded by y = 1/4x and y = 4 in the x-y plane; sections
perpendicular to the y-axis are rectangles with height 1/3 the base.