Answer the given question with a proper explanation and step-by-step solution. Please provide the answer using the math tool otherwise I give the downvote. Approximate the following integral using Simpson's rule. Experiment with values of n to ensure that the error is less than 10-32 cos x13/5 – cosxn=dx=-=COOWhat is the smallest value of n from 4, 8, 16, and 32 that gives an error less than 10-3 using Simpson's rule?

We have given We have to find the smallest value of n for which .From the above data:Exact value…

Answered: Approximate the following integral…

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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Approximate the following integral using Simpson's rule. Experiment with values of n to ensure that the error is less than 10-3. X (₁ 2 cos x 13/5- cos x n= dx. What is the smallest value of n from 4, 8, 16, and 32 that gives an error less than 103 using Simpson's rule?