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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.7 - Problem 23e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.7 - Problem 23e

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# Solved: Volumes on infinite intervals Find the volume of

ISBN: 9780321570567 2

## Solution for problem 23E Chapter 7.7

Calculus: Early Transcendentals | 1st Edition

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Problem 23E

Problem 23E

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 [1, ∞) is revolved about the x-axis.

Step-by-Step Solution:

Problem 23E

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 [1, ∞) is revolved about the x-axis.

Solution

Step 1

In this problem we need to find the volume of the solid founded by rotating around in the region

In order to find the volume, we will be using the following condition.

If f is a function such that for all  in the interval , then the volume of the solid generated by revolving, around the x axis, the region bounded by the graph of , the x axis (y = 0) and the vertical lines andis given by the integral

Volume

Step 2 of 3

Step 3 of 3

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