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Chapter 2 | Limits
Example 2.3 Estimation Using Rectangles
Estimate the area between the x -axis and the graph of f ( x ) = x 2 +1 over the interval [0, 3] by using the three rectangles shown in Figure 2.10 .
Figure 2.10 The area of the region under the curve of f ( x ) = x 2 +1 can be estimated using rectangles.
Solution The areas of the three rectangles are 1 unit 2 , 2 unit 2 , and 5 unit 2 . Using these rectangles, our area estimate is 8 unit 2 .
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