Approximate the following integral using Simpson's rule. Experiment with values of n to ensure that the error is less than 10-³. 1 2 cos x 4 dx = 5/4 - cos x 0 What is the smallest value of n from 4, 8, 16, and 32 that gives an error less than 10-3 using Simpson's rule? n= C

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Approximate the following integral using Simpson's rule. Experiment with values of n to ensure that the error is less than 10-³.
1
2 cos x
4
dx =
5/4- cos x
0
What is the smallest value of n from 4, 8, 16, and 32 that gives an error less than 10-3 using Simpson's rule?
n=
C
Transcribed Image Text:Approximate the following integral using Simpson's rule. Experiment with values of n to ensure that the error is less than 10-³. 1 2 cos x 4 dx = 5/4- cos x 0 What is the smallest value of n from 4, 8, 16, and 32 that gives an error less than 10-3 using Simpson's rule? n= C
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