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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
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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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
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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