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If the Midpoint Rule is used on the interval [?1, 11 j

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

Solution for problem 4E 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 4E

Problem 4E

If the Midpoint Rule is used on the interval [−1, 11 j with n = 3 subintervals, at what x- coordinates is the integrand evaluated?

Step-by-Step Solution:
Step 1 of 3

Solution:-

Step1

Given that

If the Midpoint Rule is used on the interval [−1, 11 ] with n = 3 subintervals.

Step2

To find

At what x- coordinates is the integrand evaluated?

Step3

Midpoint rule

Hence the 3 subintervals are [-1,3],[3,7],[7,11]

Step4

Midpoints of these intervals are given by

So,

Hence the x- coordinates at which the  integrand is evaluated in midpoint rule are 1,5,9.

Step 2 of 3

Chapter 7.6, Problem 4E 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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If the Midpoint Rule is used on the interval [?1, 11 j