Chapter 6 | Applications of Integration
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Figure 6.34
Let’s take a look at a couple of additional problems and decide on the best approach to take for solving them.
Example 6.17 Selecting the Best Method
For each of the following problems, select the best method to find the volume of a solid of revolution generated by revolving the given region around the x -axis, and set up the integral to find the volume (do not evaluate the integral). a. The region bounded by the graphs of y = x , y =2− x , and the x -axis. b. The region bounded by the graphs of y =4 x − x 2 and the x -axis.
Solution a. First, sketch the region and the solid of revolution as shown.
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