Chapter 15, Problem 27RE

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Calculate the value of the multiple integral.

**27.**
*y =* 0 and
*x*^{2} + *y*^{2} = 9

To determine

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

Explanation

**Given:**

The region *D* in the first quadrant bounded by the lines

**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 0 to 3 and

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