Chapter 15.2, Problem 22E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Evaluate the double integral.

**22.**
*D* is the triangular region with vertices (0, 0), (1, 1), and (4, 0)

To determine

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

Explanation

**Given**

The function is

The domain *D* is a triangle whose vertices are

**Calculation:**

The equation of the sides of the triangle are
*.*

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

Apply the limit value for *x*,

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