Chapter 15, Problem 24RE

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Calculate the value of the multiple integral.

**24.**
*D* is the triangular region with vertices (0, 0), (1, 1), and (0, 1)

To determine

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

Explanation

**Given:**

The region *D* is the triangle with vertices

**Calculation:**

From the given conditions, it is observed that the equations of the sides of the triangle are
*x* varies from 0 to 1 and *y* varies from *x* to 1.

First, compute the integral with respect to *y*.

Apply the limit value for *y*,

Compute the integral with respect to *x*

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