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Home  Exponential and Logartihmic Functions Natural Logarithms Examples Example 8 |
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Example 8
The region R under the curve y = 1/x from 1 to ∞ is rotated about the x-axis, forming a solid of revolution. Find the volume of this solid (Figure 8.5.4).
Figure 8.5.4 The volume is given by the improper integral
Then Thus the solid has volume π.
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Last Update: 2006-11-16