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# Solution: Using Simpson’s Rule Approximate the following

ISBN: 9780321570567 2

## Solution for problem 47E Chapter 7.6

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.

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

Step 3 of 3

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Solution: Using Simpson’s Rule Approximate the following

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