Chapter 15.2, Problem 55E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Evaluate the integral by reversing the order of integration.

To determine

**To reverse:** The order of the integration and find the value of given double integral.

Explanation

**Given**

The function is

The domain *D* is,

Calculation**:**

Reverse the order of integration, *D* will become

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

Apply the limit value for *y*,

Compute the integral with respect to *x*.

Let

Then,

Therefore, *u* varies from

Again to integrate this, substitute

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