Consider the regular subdivision of the interval [a, b] as a = x0 < x1 < x2 < x3 < x4 = b, with the step size h = x+1– Xi, and define the function f on [a, b] such that f(a) = f(b) = 1,f(x1) = 1.5, f(x2) = f(x3) = 2. Suppose that the length of the interval [a, b] is S f(x)dx using composite Simpson's rule with n= 4 is: 3, then the approximation of I =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 51E
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Consider the regular subdivision of the interval [a, b] as a = x0 < x1 < x2 < x3 < x4 =
b, with the step size h = xi+1- xị, and define the function f on [a, b] such that f (a)
f(b)
f(x3) = 2. Suppose that the length of the interval [a, b] is
3, then the approximation of I = f, f(x)dx using composite Simpson's rule with n = 4 is:
1, f(x1) = 1.5, f(x2)
Transcribed Image Text:Consider the regular subdivision of the interval [a, b] as a = x0 < x1 < x2 < x3 < x4 = b, with the step size h = xi+1- xị, and define the function f on [a, b] such that f (a) f(b) f(x3) = 2. Suppose that the length of the interval [a, b] is 3, then the approximation of I = f, f(x)dx using composite Simpson's rule with n = 4 is: 1, f(x1) = 1.5, f(x2)
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