(a) By using lower sums S, (rectangles that lie below the graph of f). (b) By using upper sums S, (rectangles that extend above the graph of f). (c) Compare the work required in (a) and (b). Which is easier? Could you have predicted this? 7. 25. f(x)=2r+1 from a = to b=4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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In Problems 25–32, find the area A under the graph of f
from a to b:
(a) By using lower sums sn (rectangles that lie below the graph of f).
(b) By using upper sums Sn (rectangles that extend above the graph
of f).
(c) Compare the work required in (a) and (b). Which is easier?
Could you have predicted this?
25. f(x)=2xr+1 from a =0 to b=4
Transcribed Image Text:In Problems 25–32, find the area A under the graph of f from a to b: (a) By using lower sums sn (rectangles that lie below the graph of f). (b) By using upper sums Sn (rectangles that extend above the graph of f). (c) Compare the work required in (a) and (b). Which is easier? Could you have predicted this? 25. f(x)=2xr+1 from a =0 to b=4
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