Chapter 15, Problem 28RE

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Calculate the value of the multiple integral.

**28.**
*D* is the region in the first quadrant that lies between the circles *x*^{2} + *y*^{2} = 1 and *x*^{2} + *y*^{2} = 2

To determine

**To calculate:** The value of given double integral over the region *R*.

Explanation

**Given:**

The region *D* in the first quadrant lies between the circles

**Formula used:**

If
*R* given by

If

**Calculation:**

Since, the equation of the circle is given, it is more appropriate to use polar coordinates. From the given conditions, it is observed *r* varies from 1 to

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