Let consider the following table that gives the values of a function f at some specific points: 0 | 0.16666 | 0.5 | 0.25 | 0.111815+D 3D 0.75 |D+0.101315 |0.14285 Let I = f f(x)dx. Assume that composite Simpson's rule gives 0.16032 as approximation for the integral i with h=0.25 then: D=0.00612 O D=0.054415 O D=0.00682 D=0.00573

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Let consider the following table that gives the values of a function f at some specific points:
f(x)
0.25
| 0.5
0.111815+D 3D
| 0.75
D+0.101315 0.14285
0.16666
Let / = f(x)dx. Assume that composite Simpson's rule gives 0.16032 as approximation for the
integral I with h=0.25 then:
D=0.00612
O D=0.054415
D=0.00682
D=0.00573
Transcribed Image Text:Let consider the following table that gives the values of a function f at some specific points: f(x) 0.25 | 0.5 0.111815+D 3D | 0.75 D+0.101315 0.14285 0.16666 Let / = f(x)dx. Assume that composite Simpson's rule gives 0.16032 as approximation for the integral I with h=0.25 then: D=0.00612 O D=0.054415 D=0.00682 D=0.00573
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