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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
Wen Zheng
Calculus 2 / BC
Chapter 6
Applications of Integration
Section 3
Volumes by Cylindrical Shells
Campbell University
Harvey Mudd College
Idaho State University
Boston College
Lectures
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Each integral represents t…
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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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