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Problem 32 Medium Difficulty

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

WZ

Wen Zheng

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Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 6

Applications of Integration

Section 3

Volumes by Cylindrical Shells

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Applications of Integration

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Video Transcript

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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Calculus: Early Transcendentals

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