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Each integral represents the volume of a solid. Describe the solid.

$ \displaystyle \int_{0}^1 2 \pi (2 - x)(3^x - 2^x) dx $

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01:26

Wen Zheng

Calculus 2 / BC

Chapter 6

Applications of Integration

Section 3

Volumes by Cylindrical Shells

University of Michigan - Ann Arbor

University of Nottingham

Idaho State University

Boston College

Lectures

02:04

Each integral represents t…

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we know DX implies an axis of rotation that is vertical. We know the radius is too modest. X. The axis of rotation is the same thing as X equals two, and the height is three day acts minus to the X. Therefore, this represents a solid obtained by retain The region bounded by why is three to the X minus two to the ax ax is one and exes too. So if you want a rough sketch of what this looks like, it looks approximately something like this. And I described the characteristics of what it looked like given the equation.

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