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Home Applications of the Integral Improper Integrals Examples Example 4
 
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Example 4

Find the area under the curve y = x-3 from 1 to ∞. The area is given by the improper integral

06_applications_of_the_integral-422.gif

For u > 0,

06_applications_of_the_integral-423.gif

Thus

06_applications_of_the_integral-424.gif

So the improper integral converges and the region has area ½. The region is shown in Figure 6.7.l (b) and extends infinitely far to the right.
Home Applications of the Integral Improper Integrals Examples Example 4

Last Update: 2006-11-15