Explanation Given: ∫ 0 2 ∫ − 1 1 x 2 y d x d y Calculation: Step 1: ∫ − 1 1 x 2 y d x = Compute the indefinite integral ∫ x 2 y d x Apply the power rule, ∫ x a d x = x a + 1 a + 1 , a ≠ -1 y x 3 3 + C (Adding a constant to a solution) Step 2: Compute the boundaries ∫ − 1 1 x 2 y d x Formula used: ∫ a b f ( x ) d x = F ( b ) − F ( a ) = lim x → b − ( F ( x ) ) - lim x → a + ( F ( x )

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ISBN: 9781319055844

Author: FRANZOSA

Publisher: VST

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Chapter 16.1, Problem 38E

To determine

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

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Chapter 16.1, Problem 37E

Chapter 16.1, Problem 39E

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The value of the integral ∫ 0 2 ∫ − 1 1 x 2 y d x d y

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