Chapter 15.7, Problem 29E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Evaluate the integral by changing to cylindrical coordinates.

**29.**

To determine

**To evaluate:** The integral by changing to cylindrical coordinates.

Explanation

**Given:**

The function is

The rectangular coordinates of the given triple integral are

**Formula used:**

If
*E* given by

If
*z*, then,

The cylindrical coordinates

**Calculation:**

Substitute

The limits become,

And

From the limits of *x* given, it is observed that it is a circle of radius 2

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