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Home Integral Integration by Change of Variables Examples Example 6: Area Under a Curve
 
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Example 6: Area Under a Curve

Find the area under the curve y = 2x/(x2 - 3)2 from x = 2 to x = 3 (Figure 4.4.3).

04_integration-263.gif

Figure 4.4.3

Let u = x2 - 3. Then du = 2x dx. At x = 2, u = 22 - 3 = 1. At x = 3, u = 32 - 3 = 6. Then

04_integration-264.gif
Home Integral Integration by Change of Variables Examples Example 6: Area Under a Curve

Last Update: 2006-11-24