(3) Consider the definite integral sin(rx) dx which is to be approximated using the composite Simpson's rule. (a) Determine the smallest value of n that will guarantee an approximation within an accuracy of 10-4. (b) Find the approximation of the integral using the n that you have obtained in part (a). (c) Find the actual error and determine if it is within the accuracy of 104. Explain your answer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 19E
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(3) Consider the definite integral sin(Tx) dx which is to be approximated using the composite
Simpson's rule.
(a) Determine the smallest value of n that will guarantee an approximation within an accuracy of
10-4.
(b) Find the approximation of the integral using the n that you have obtained in part (a).
(c) Find the actual error and determine if it is within the accuracy of 10-4. Explain your answer.
Transcribed Image Text:(3) Consider the definite integral sin(Tx) dx which is to be approximated using the composite Simpson's rule. (a) Determine the smallest value of n that will guarantee an approximation within an accuracy of 10-4. (b) Find the approximation of the integral using the n that you have obtained in part (a). (c) Find the actual error and determine if it is within the accuracy of 10-4. Explain your answer.
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