Chapter 15.3, Problem 2E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

A region *R* is shown. Decide whether to use polar coordinates or rectangular coordinates and write
*f* is an arbitrary continuous function on *R*.

**2.**

To determine

**To write:** An iterated integral by deciding whether to use polar coordinates or rectangular coordinates.

Explanation

Since the given region is a triangle, it is easier to use rectangular coordinates.

From the figure given in the problem, it is observed that *x* varies from
*y* varies from

Therefore, the rectangular coordinates is,

Thus the iterated integral is given by,

Sect-15.1 P-1ESect-15.1 P-2ESect-15.1 P-3ESect-15.1 P-4ESect-15.1 P-5ESect-15.1 P-6ESect-15.1 P-7ESect-15.1 P-8ESect-15.1 P-9ESect-15.1 P-10E

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