Explanation Given : ∫ 0 1 ∫ 0 π / 2 x cos ( x y ) d x d y Calculation : Step 1: The domain of integration is a rectangle defined by the following inequalities: 0 ≤ y ≤ 1 , 0 ≤ x ≤ π 2 . Step 2: By Fubini's Theorem, the double integral of f ( x , y ) = x cos ( x y ) over the rectangle is equal to the iterated integral in either order. Hence, ∫ 0 1 ∫ 0 π / 2 x cos ( x y ) d x d y = ∫ 0 π / 2 ∫ 0 1 x cos ( x y ) d y d x = ∫ 0 π / 2 x ...

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ISBN: 9781319434526

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 16.2, Problem 30E

To determine

The value of the integral $\int_{0}^{1} \int_{0}^{π / 2} x \cos (x y) d x d y$ in reversed order of integration with explanation about the simplification achieved by changing the order.

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Chapter 16.2, Problem 29E

Chapter 16.2, Problem 31E

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Chapter 16 Solutions

CALCULUS 4E (LL) W/ ACHIEVE ACCESS

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The value of the integral ∫ 0 1 ∫ 0 π / 2 x cos ( x y ) d x d y in reversed order of integration with explanation about the simplification achieved by changing the order.

Solution Summary: The author calculates the value of the integral 0 1 x y in reversed order of integration with explanation about the simplification achieved by changing the order.

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The value of the integral $\int_{0}^{1} \int_{0}^{π / 2} x \cos (x y) d x d y$ in reversed order of integration with explanation about the simplification achieved by changing the order.

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Chapter 16 Solutions

The value of the integral ∫ 0 1 ∫ 0 π / 2 x cos ( x y ) d x d y in reversed order of integration with explanation about the simplification achieved by changing the order.

Solution Summary: The author calculates the value of the integral 0 1 x y in reversed order of integration with explanation about the simplification achieved by changing the order.

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The value of the integral $\int_{0}^{1} \int_{0}^{π / 2} x \cos (x y) d x d y$ in reversed order of integration with explanation about the simplification achieved by changing the order.