(a) Estimate the area under the graph of f(x) = 1 + 2x² from x = -1 to x = 2 using three rectangles and right endpoints. R3 = Then improve your estimate by using six rectangles. R6 = Sketch the curve and the approximating rectangles for R3. 0-1 6 2 2 0-1 2 M Х

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.CR: Chapter 7 Review
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(a) Estimate the area under the graph of f(x) = 1 + 2x² from x = -1 to x = 2 using three rectangles and right endpoints.
R3 =
Then improve your estimate by using six rectangles.
R6
=
Sketch the curve and the approximating rectangles for R3.
0-1
y
8
6
4
2
y
8
1
- X
2
0-1
y
8
6
2
y
8
1
2
X
Transcribed Image Text:(a) Estimate the area under the graph of f(x) = 1 + 2x² from x = -1 to x = 2 using three rectangles and right endpoints. R3 = Then improve your estimate by using six rectangles. R6 = Sketch the curve and the approximating rectangles for R3. 0-1 y 8 6 4 2 y 8 1 - X 2 0-1 y 8 6 2 y 8 1 2 X
0-1
y
8
6
4
2
Sketch the curve and the approximating rectangles for R6.
y
8
Co
6
1
4
2
- X
0-1
y
8
6
4
2
y
8
6
4
1
2
X
Transcribed Image Text:0-1 y 8 6 4 2 Sketch the curve and the approximating rectangles for R6. y 8 Co 6 1 4 2 - X 0-1 y 8 6 4 2 y 8 6 4 1 2 X
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