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Home Applications of the Integral Improper Integrals Examples Example 8
 
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Example 8

Find

06_applications_of_the_integral-442.gif

The function 06_applications_of_the_integral-443.gif is continuous on the open interval (0, 2) but discontinuous at both endpoints (Figure 6.7.8). Thus

06_applications_of_the_integral-444.gif

06_applications_of_the_integral-445.gif

Figure 6.7.8

First we find the indefinite integral.

06_applications_of_the_integral-446.gif

Then

06_applications_of_the_integral-447.gif

Also

06_applications_of_the_integral-448.gif

Therefore

06_applications_of_the_integral-449.gif
Home Applications of the Integral Improper Integrals Examples Example 8

Last Update: 2006-11-24