Explanation It is given that the double integral ∫ 2 4 ∫ 0 1 2 x y d x d y = 6 . In order to obtain the double integral, integrate the inner integral first. ∫ 0 1 2 x y d x = 2 y ∫ 0 1 x d x = 2 y [ x 2 2 ] 0 1 = 2 y [ ( 1 ) 2 2 − ( 0 ) 2 2 ] = 2 y 2 That is, ∫ 0 1 2 x y d x = y

Pearson eText for Basic Technical Mathematics with Calculus -- Instant Access (Pearson+)

11th Edition

ISBN: 9780137554843

Author: Allyn Washington, Richard Evans

Publisher: PEARSON+

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Chapter 29 Solutions

Pearson eText for Basic Technical Mathematics with Calculus -- Instant Access (Pearson+)

Ch. 29.1 - Practice Exercise If f(x, y) = 4xy2 – 3x2y, find...Ch. 29.1 - Prob. 1E Ch. 29.1 - Prob. 2E Ch. 29.1 - Prob. 3E Ch. 29.1 - Prob. 4E Ch. 29.1 - Prob. 5E Ch. 29.1 - Prob. 6E Ch. 29.1 - Prob. 7E Ch. 29.1 - Prob. 8E Ch. 29.1 - Prob. 9E

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