Consider the integral ²₂ f(x) dx. In order to ease your calculations, here is the table of some selected values for this function (you don't have to use ALL of these numbers - just pick the ones you need). X f(x) -3 0 -2.75 29.4 -2.5 41.3 -2.25 41.5 X f(x) 35 -2 -1.75 25.3 -1.5 15.2 -1.25 6.4 X f(x) 1 8 1.25 5.2 1.5 0 1.75 -7.1 Estimate the integral ²₂ f(x) dx using the Simpson's rule and n = 8 intervals. X f(x) 0 -1 -0.75 -3.6 -0.5 -4.4 -0.25 -2.9 X f(x) 0 0 0.25 3.5 0.5 6.6 0.75 8.3 X f(x) 2 -15 2.25 -21.6 2.5 -24.1 2.75 -18.5 X3 3 3.25 3.5 3.75
Consider the integral ²₂ f(x) dx. In order to ease your calculations, here is the table of some selected values for this function (you don't have to use ALL of these numbers - just pick the ones you need). X f(x) -3 0 -2.75 29.4 -2.5 41.3 -2.25 41.5 X f(x) 35 -2 -1.75 25.3 -1.5 15.2 -1.25 6.4 X f(x) 1 8 1.25 5.2 1.5 0 1.75 -7.1 Estimate the integral ²₂ f(x) dx using the Simpson's rule and n = 8 intervals. X f(x) 0 -1 -0.75 -3.6 -0.5 -4.4 -0.25 -2.9 X f(x) 0 0 0.25 3.5 0.5 6.6 0.75 8.3 X f(x) 2 -15 2.25 -21.6 2.5 -24.1 2.75 -18.5 X3 3 3.25 3.5 3.75
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Solve using the Simpson's Rule!
![Consider the integral ²₂ f(x) dx. In order to ease your calculations, here is the table of
some selected values for this function (you don't have to use ALL of these numbers - just
pick the ones you need).
X
f(x)
-3
0
-2.75 29.4
-2.5 41.3
-2.25 41.5
X f(x)
35
-2
-1.75 25.3
-1.5 15.2
-1.25 6.4
X
f(x)
1
8
1.25 5.2
1.5 0
1.75 -7.1
Estimate the integral ²₂ f(x) dx using the Simpson's rule and n = 8 intervals.
X f(x)
0
-1
-0.75 -3.6
-0.5 -4.4
-0.25 -2.9
X
f(x)
0
0
0.25 3.5
0.5 6.6
0.75 8.3
X f(x)
2
-15
2.25 -21.6
2.5 -24.1
2.75 -18.5
WX
3
3.25
3.5
3.75](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F277d8e9e-796c-4923-a9a2-4c05d5ad95df%2Fd8a31da9-c7a2-4e09-ad0c-c922be7dc5aa%2Fyysz35_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the integral ²₂ f(x) dx. In order to ease your calculations, here is the table of
some selected values for this function (you don't have to use ALL of these numbers - just
pick the ones you need).
X
f(x)
-3
0
-2.75 29.4
-2.5 41.3
-2.25 41.5
X f(x)
35
-2
-1.75 25.3
-1.5 15.2
-1.25 6.4
X
f(x)
1
8
1.25 5.2
1.5 0
1.75 -7.1
Estimate the integral ²₂ f(x) dx using the Simpson's rule and n = 8 intervals.
X f(x)
0
-1
-0.75 -3.6
-0.5 -4.4
-0.25 -2.9
X
f(x)
0
0
0.25 3.5
0.5 6.6
0.75 8.3
X f(x)
2
-15
2.25 -21.6
2.5 -24.1
2.75 -18.5
WX
3
3.25
3.5
3.75
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