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Solved: Midpoint Rule approximations Find the indicated

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

Solution for problem 12E 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 12E

Midpoint Rule approximations

Find the indicated Midpoint Rule approximations to the following integrals.

 using n = 1, 2, and 4 subintervals

Step-by-Step Solution:

Problem 12E

Midpoint Rule approximations Find the indicated Midpoint Rule approximations to the following integrals. using subintervals.

Step 1</p>

In this problem we have to find the midpoint rule approximation to  using subintervals.

First let us see about midpoint rule approximation.

        The midpoint sum (or midpoint rule approximation) using midpoints of subintervals n is given by

…. (1)

where

Step 2</p>

Now let us find the midpoint rule approximation to  with

We have and

Therefore

Hence Divide into subintervals of length with the following end points

Now we just evaluate the function at those points.

Thus by using (1) the midpoint approximation of   with n=1 is given by

 

        

Thus the midpoint approximation of   with n=1 is 1000.

Step 3 of 4

Chapter 7.6, Problem 12E is Solved
Step 4 of 4

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

The answer to “Midpoint Rule approximations Find the indicated Midpoint Rule approximations to the following integrals. using n = 1, 2, and 4 subintervals” is broken down into a number of easy to follow steps, and 21 words. The full step-by-step solution to problem: 12E from chapter: 7.6 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This full solution covers the following key subjects: approximations, rule, midpoint, Integrals, indicated. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Since the solution to 12E from 7.6 chapter was answered, more than 309 students have viewed the full step-by-step answer. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567.

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Solved: Midpoint Rule approximations Find the indicated

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