Chapter 15.2, Problem 19E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Evaluate the double integral.

**19.**
*D* is the triangular region with vertices (0, 1), (1, 2), (4, 1)

To determine

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

Explanation

**Given**

The function is

The domain *D* is triangular region with vertices

**Calculation:**

The equation of the sides of the triangle are

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

Apply the limit value for *x*,

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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