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Solution: Volumes on infinite intervals Find the volume of

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 24E Chapter 7.7

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 24E

Problem 24E

Volumes on infinite intervals Find the volume of the described solid of revolution or state that it does not exist.

The region bounded by f(x)= (x + 1)−3 and the x-axis on the interval [0, ∞) is revolved about the y-axis.

Step-by-Step Solution:

Problem 24E

Volumes on infinite intervals Find the volume of the described solid of revolution or state that it does not exist.

The region bounded by and the x-axis on the interval [0, ∞) is revolved about the y-axis.

Solution

Step 1

In this problem we have to find the volume of the described solid of revolution or state that it does not exist.

We shall find  the volume by using the following method,

        “ If R is the region under the curve y = f(x)  on the interval [a , b] , then the volume of the solid  obtained by revolving R  about the y-axis is

Step 2 of 4

Chapter 7.7, Problem 24E is Solved
Step 3 of 4

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Solution: Volumes on infinite intervals Find the volume of