Explain geometrically how the Trapezoid Rule is used to

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

Problem 3E 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 3E

Explain geometrically how the Trapezoid Rule is used to approximate a definite integral.

Step-by-Step Solution:
Step 1 of 3

Solution:-

Step1

Trapezoid Rule - We can approximate the exact area under a curve between a and b,

Where n is the number of trapezoids  equals a, and through are the equally spaced x coordinates of the right edges of  trapezoids  1 through n.

Step2

Example

The figure below shows three trapezoids drawn under the function

Step 2 of 3

Chapter 7.6, Problem 3E 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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