Chapter 15.2, Problem 68E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Use geometry or symmetry, or both, to evaluate the double integral.

**68.**

To determine

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

Explanation

**Definition used:**

Odd function: If

**Formula used:**

If

And,

**Given**

The function is,

The domain *D* is,

**Calculation:**

From the given conditions,

Here, second and third integrand are odd functions with respect to *y* and *x*, respectively, because,

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