Chapter 15, Problem 26RE

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Calculate the value of the multiple integral.

**26.**
*D* is the region in the first quadrant that lies above the hyperbola *xy* = 1 and the line *y* = *x* and below the line *y* = 2

To determine

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

Explanation

**Given:**

The region *D* in the first quadrant lies above the hyperbola

**Calculation:**

Substitute
*x* varies from
*y* and *y* varies from 1 to 2.

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

Apply the limit value for *x*,

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