Chapter 15.2, Problem 64E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

In evaluating a double integral over a region *D,* a sum of iterated integrals was obtained as follows:

Sketch the region *D* and express the double integral as an iterated integral with reversed order of integration.

To determine

**To reverse:** The order of integration and sketch the outline of the region *D*.

Explanation

**Given:**

*.*

It is given that whenever *y* lies between 0 and 1*,x* varies from 0 to 2*y. S*imilarly, whenever *y* varies from 1 to 3*, x* varies from 0 to
*.* Graph the given information as given below in the Figure 1.

From the Figure 1, it is observed that *x* varies from 0 to 2 and *y* varies from

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