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Home Applications of the Integral Improper Integrals Examples Example 1
 
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Example 1

Find

06_applications_of_the_integral-397.gif

For u > 0,

06_applications_of_the_integral-398.gif

Then

06_applications_of_the_integral-399.gif

Therefore the region under the curve y = l/√x from 0 to 1 shown in Figure 6.7.1 (a) has area 2, and the improper integral converges.
Home Applications of the Integral Improper Integrals Examples Example 1

Last Update: 2006-11-15