The table gives the values of a function obtained from an experiment. X 6 7 8 9 10 11 12 f(x) -5.3 -1.5 4 4.7 5.3 5.8 6.4 1.²² using three equal subintervals with midpoints. Estimate f(x)dx 18

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The table gives the values of a function
obtained from an experiment.
X
6 7 8 9
9 10 11 12
f(x) -5.3 -1.5 4 4.7 5.3 5.8 6.4
12
Estimate
using three equal
subintervals with
midpoints.
f(x)dx
Find first midpoint.x₁
by using three equal
subintervals.
12
12.
[²
Estimate
using three equal
subintervals with right
endpoints.
Estimate
using three equal
subintervals with left
endpoints
f(x)dx
f(x)dx
Find the value of
f(x) by using three
equal subintervals.
18
7
31.4
8
5.8
4
"
41
4
**
Transcribed Image Text:The table gives the values of a function obtained from an experiment. X 6 7 8 9 9 10 11 12 f(x) -5.3 -1.5 4 4.7 5.3 5.8 6.4 12 Estimate using three equal subintervals with midpoints. f(x)dx Find first midpoint.x₁ by using three equal subintervals. 12 12. [² Estimate using three equal subintervals with right endpoints. Estimate using three equal subintervals with left endpoints f(x)dx f(x)dx Find the value of f(x) by using three equal subintervals. 18 7 31.4 8 5.8 4 " 41 4 **
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