Explanation Given: ∫ 0 2 ∫ 0 1 m x y 2 d x d y = 1 Calculation: Step 1: ∫ 0 1 x y 2 d x = Compute the indefinite integral ∫ x y 2 d x Take the constant out: y 2 ∫ x d x = sin(y) y 2 x 1 + 1 1 + 1 = y 2 x 2 2 + C (Adding a constant to a solution) Step 2: Compute the boundaries: ∫ 0 1 x y 2 d x Formula used: ∫ a b f ( x ) d x = F ( b ) − F ( a ) = lim x → b − ( F ( x ) ) - lim x → a + ( F

4th Edition

ISBN: 9781319055844

Author: FRANZOSA

Publisher: VST

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Chapter 16.1, Problem 45E

To determine

The value of m from the iterated integral $\int_{0}^{2} \int_{0}^{1} m x y^{2} d x d y$

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Chapter 16.1, Problem 44E

Chapter 16.1, Problem 46E

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Chapter 16 Solutions

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