   Chapter 5.R, Problem 20E

Chapter
Section
Textbook Problem

# Each integral represents the volume of a solid. Describe the solid. ∫ 0 π / 2 2 π cos 2 x   d x

To determine

To describe:

The solid given by the integral

Explanation

1) Concept:

The volume of a solid obtained by revolution of curve y=fx around the x- axis in the interval 0, b is

V=π0bf2xdx

2) Given:

0π22πcos2xdx

3) Calculation:

It is given that the volume of a solid is

0π22πcos2xdx

The volume of the solid obtained by revolution of curve y=fx0 around the x- axis in the interval 0, π2 is  V=0bπf2(x)dx

Comparing this volume with V=0bπf2(x) dx

π0bf2(x)d

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