Explanation Given: The integral ∬ R 4 x y d A . And, R : rectangle with vertices (0, 0), (0, 4), (2, 4), (2, 0). Formula used: The area of a region is given by A = ∫ x l x h ∫ y l y h d y d x Use the integration formula: ∫ x n d x = x n + 1 n + 1 Calculation: Plot the given rectangle: From the graph, if d A = d x d y then double integral will be: ∫ 0 4 ∫ 0 2 ( 4 x y ) d x d y If d A = d y d x , then double integral will be: ∫ 0 2 ∫ 0 4 ( 4 x y ) d y d x Since, both the expressions are convenient to use

Bundle: Calculus: Early Transcendental Functions, Loose-leaf Version, 6th + WebAssign Printed Access Card for Larson/Edwards' Calculus: Early Transcendental Functions, 6th Edition, Multi-Term

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ISBN: 9781305714045

Author: Ron Larson, Bruce H. Edwards

Publisher: Cengage Learning

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Chapter 14 Solutions

Bundle: Calculus: Early Transcendental Functions, Loose-leaf Version, 6th + WebAssign Printed Access Card for Larson/Edwards' Calculus: Early Transcendental Functions, 6th Edition, Multi-Term

Chapter 14.1, Problem 81E Chapter 14.1, Problem 1E Chapter 14.1, Problem 2E Chapter 14.1, Problem 3E Chapter 14.1, Problem 4E Chapter 14.1, Problem 5E Chapter 14.1, Problem 6E Chapter 14.1, Problem 7E Chapter 14.1, Problem 8E Chapter 14.1, Problem 9E

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Chapter 14, Problem 15RE

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