(a) Estimate the area under the graph of f(x) = 4 + 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. y y 12 10 8 K 6 2 X 1 y 12 10 -1 -1 12 10 8 2 y 12 10 8 6 2 1 2 -1 -1 8 2

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) = 4 + 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.
y
y
2
-1
12
10
8
y
12
10
8
2
1
12
10
8
6-
y
12
10
8
1
1
2
2
X
X
Transcribed Image Text:(a) Estimate the area under the graph of f(x) = 4 + 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. y y 2 -1 12 10 8 y 12 10 8 2 1 12 10 8 6- y 12 10 8 1 1 2 2 X X
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