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Home Applications of the Integral Improper Integrals Examples Example 6
 
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Example 6

The region in Example 5 is rotated about the x-axis. Find the volume of the solid of revolution.

We use the Disc Method because the rotation is about the axis of the independent variable. The volume formula gives us an improper integral.

06_applications_of_the_integral-427.gif

So the solid shown in Figure 6.7.5 has finite volume V = 3π.

06_applications_of_the_integral-428.gif

Figure 6.7.5
Home Applications of the Integral Improper Integrals Examples Example 6

Last Update: 2006-11-15