Chapter 5.R, Problem 13E

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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

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

where

**2) Given:**

**3) Calculation:**

The region is bounded by

Draw the graph of the given curves.

The graph shows the region and representative strip to rotate about the line

It has radius

Using shell method, find the 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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