Explanation Given : D which is the shaded part of the semicircle of radius 2 in the figure, integral ∫ ∫ D y x d A Calculation : Step 1: The region D is defined by the following inequalities: 1 ≤ x ≤ 2 , 0 ≤ y ≤ 4 − x 2 Step 2: Using Theorem 2, we obtain the double integral of f over D ∫ ∫ D y x d A = ∫ 1 2 ∫ 0 4 − x 2 y x d y d x = ∫ 1 2 1 x ( 1 2 y 2

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ISBN: 9781319323394

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 16.2, Problem 11E

To determine

The value of integral of $\int \int_{D} \frac{y}{x} d A$ where D is the shaded part of the semicircle of radius 2 in the figure.

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Chapter 16.2, Problem 10E

Chapter 16.2, Problem 12E

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Chapter 16 Solutions

CALCULUS W/SAPLING ACCESS >IC<

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The value of integral of ∫ ∫ D y x d A where D is the shaded part of the semicircle of radius 2 in the figure.

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The value of integral of $\int \int_{D} \frac{y}{x} d A$ where D is the shaded part of the semicircle of radius 2 in the figure.

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