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Each integral represents the volume of a solid. D…

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Problem 29 Medium Difficulty

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

$ \displaystyle \int_{0}^3 2 \pi x^5 dx $


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01:39

WZ

Wen Zheng

Related Courses

Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 6

Applications of Integration

Section 3

Volumes by Cylindrical Shells

Related Topics

Applications of Integration

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Watch More Solved Questions in Chapter 6

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Problem 13
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Problem 15
Problem 16
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Problem 18
Problem 19
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Problem 28
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Problem 32
Problem 33
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Problem 35
Problem 36
Problem 37
Problem 38
Problem 39
Problem 40
Problem 41
Problem 42
Problem 43
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Problem 46
Problem 47
Problem 48

Video Transcript

Okay, Describe the solid. We know that we are given from 0 to 3 to Pi X to the fifth DX. We know that this is the same thing as from 03 to pie axe Times X to the fourth D X, which is equivalent to from 0 to 3 to pie axe. Why deep water if why is extra fourth what this means? That that is the volume of the solid obtained when we rotate around the why access of wise X to the forth between zero and three, which are bounds.

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Calculus: Early Transcendentals

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