Chapter 5.R, Problem 12E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.

To determine

**To set up:**

An integral for the volume of a solid.

Explanation

**1) Concept:**

If

By shell method, the volume of the solid obtained by rotating the region under the curve

where

**2) Given:**

about the

**3) Calculation:**

The equation of given curves is

The region and typical shell are shown in the figure.

The graph shows the region and height of cylindrical shell formed by rotation about the

It has radius

Using shell method, find the typical approximating shell with radius

Sect-5.1 P-1ESect-5.1 P-2ESect-5.1 P-3ESect-5.1 P-4ESect-5.1 P-5ESect-5.1 P-6ESect-5.1 P-7ESect-5.1 P-8ESect-5.1 P-9ESect-5.1 P-10E

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