Consider the regular subdivision of the interval [a, b] as a - x0 < x1 < x2 < x3 < 14 = b, with the step size h = x -X, 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 fa, b] is 3, then the approximation of I= (x)dx using composite Simpson's rule with n 4 is: %3D O 5 10/3 5/2 5/3

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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 = x41- X, 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
3, then the approximation of I= f(x)dx using composite Simpson's rule with n= 4 is:
10/3
5/2
5/3
O O O O
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 = x41- X, 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 3, then the approximation of I= f(x)dx using composite Simpson's rule with n= 4 is: 10/3 5/2 5/3 O O O O
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