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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.6 - Problem 46e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.6 - Problem 46e

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# Answer: Using Simpson’s Rule Approximate the following

ISBN: 9780321570567 2

## Solution for problem 46E Chapter 7.6

Calculus: Early Transcendentals | 1st Edition

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Problem 46E

Problem 46E

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:

Problem 46E

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 : )=1.959759163 .

simpson’s  formula:

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

= 0 , = , =  ………...=

f(0) = ln(2+cos(0)) = 1.0986123

f( ) =  ln( 2+cos( ) = 1.0821632475      ,        f( ) =  ln( 2+cos( ) =0.52531002

f( ) =  ln( 2+cos( ) =  1.328345985      ,       f( ) =  ln( 2+cos( ) =0.34659215

f( ) =  ln( 2+cos( ) = 0.95080239495   ,        f( ) =  ln( 2+cos( ) = 0.174779

f( ) =  ln( 2+cos( ) =0.83682189     ,         f( ) =  ln( 2+cos( ) =0.227834515

f( ) =  ln( 2+cos( )=0.693147175       ,              f( ) =  ln( 2+cos( ) = 1.95975956

Step 2 of 2

##### ISBN: 9780321570567

Since the solution to 46E from 7.6 chapter was answered, more than 357 students have viewed the full step-by-step answer. The answer to “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.” is broken down into a number of easy to follow steps, and 24 words. This full solution covers the following key subjects: rule, Using, simpson, less, Integrals. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The full step-by-step solution to problem: 46E from chapter: 7.6 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM.

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