Explanation Given : ∫ 0 1 ∫ y = x 2 / 3 1 x e y 4 d y d x Calculation : Step 1: The limits of integration define a vertically simple region D by the following inequalities: 0 ≤ x ≤ 1 , x 2 / 3 ≤ y ≤ 1 Step 2: The region can also be described as horizontally simple region by the following inequalities 0 ≤ y ≤ 1 , 0 ≤ x ≤ y 3 / 2 Step 3: Thus, we can rewrite the given integral in reversed order of integration as follows: ∫ 0 1 ∫ 0 y 3 / 2 x e y 4 d y d x = ∫ 0 1 x 2 2 e y 4 | x = 0 y 3 / 2 d y = ∫ 0 1 e

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ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 16.2, Problem 36E

To determine

The value of the integral $\int_{0}^{1} \int_{y = x^{2 / 3}}^{1} x e^{y^{4}} d y d x$ in reversed order of integration with explanation about the simplification achieved by changing the order.

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Chapter 16.2, Problem 35E

Chapter 16.2, Problem 37E

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Chapter 16 Solutions

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The value of the integral ∫ 0 1 ∫ y = x 2 / 3 1 x e y 4 d y d x in reversed order of integration with explanation about the simplification achieved by changing the order.

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The value of the integral $\int_{0}^{1} \int_{y = x^{2 / 3}}^{1} x e^{y^{4}} d y d x$ in reversed order of integration with explanation about the simplification achieved by changing the order.

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Chapter 16 Solutions

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The value of the integral $\int_{0}^{1} \int_{y = x^{2 / 3}}^{1} x e^{y^{4}} d y d x$ in reversed order of integration with explanation about the simplification achieved by changing the order.