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Solution: Using Simpson’s Rule Approximate the following

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 47E Chapter 7.6

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 47E

Using Simpson’s Rule

Approximate the following integrals using Simpson’s Rule Experiment with values of n to ensure that the error is less than 10−3.

Step-by-Step Solution:
Step 1 of 3

Problem 47E

Using Simpson’s Rule

Approximate the following integrals using Simpson’s Rule Experiment with values of n to ensure that the error is less than 10−3.

Answer;

     Step-1 of 2 ;

               In this problem we need to approximate the integral using  simpson’s  Rule experiment with values of n to ensure  that the error is less  than .

            Given integral is : dx

           The exact value of the given integral is : = 0.44444

            simpson’s  formula:

                   

          Let us consider ,  f(x) =  and  n = 10 ,

                   = 0 , = , =  ………...=

      f(0) = sin(0)c0s(0) = 0

    4 f( ) =4(sincos)= 2.2360679774

    2 f(2 ) =4(sincos)= 0.363271264

   4 f( ) =4(sincos)= 2.236067977

 ...

Step 2 of 3

Chapter 7.6, Problem 47E is Solved
Step 3 of 3

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Solution: Using Simpson’s Rule Approximate the following

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