The ebook Elementary Calculus is based on material originally written by H.J. Keisler. For more information please read the copyright pages.


Example 1: Area Between Two Curves

Find the area of the region between the curves y = ½x2 - 1 and y = x from x = 1 to x = 2. In Figure 4.5.4, we sketch the curves to check that ½x2 - 1 ≤ x for 1 ≤ x ≤ 2. Then

04_integration-402.gif

04_integration-403.gif

Figure 4.5.4


Last Update: 2006-11-15