Chapter 5.2, Problem 38E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

Use a computer algebra system to find the exact volume of the solid obtained by rotating the region bounded by the given curves about the specified line.

To determine

**To find:**

The exact volume of the solid obtained by rotating the region bounded by the given curves about the line

Explanation

**1) Concept:**

i. If the cross section is a washer with inner radius

ii. The volume of the solid of revolution about

**2) Given:**

**3) Calculation:**

Bounded region of the given curves is shown below:

From the above graph

The cross section is perpendicular to the

Thus, the outer radius is the distance from the curve

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