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Each integral represents the volume of a solid. Describe the solid.
$ 2 \pi \displaystyle \int_{1}^4 \frac{y + 2}{y^2} dy $
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01:35
Wen Zheng
Calculus 2 / BC
Chapter 6
Applications of Integration
Section 3
Volumes by Cylindrical Shells
Missouri State University
Oregon State University
University of Michigan - Ann Arbor
Idaho State University
Lectures
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Each integral represents t…
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we know that D y implies the axis of rotation is horizontal. We know the rotation is about the X axis because the radius is why. Therefore, the height is why plus two over why Cubes. And we know that this represents the volume of the salt obtained by rotating the region bounded by axes. Why plus two over Why Cubed X zero wise one and wise for about the ex access Because again the radius would be in terms of why. Which means if we're drawing out a rough sketch of what this looks like, it would be approximate looking something like this, and I described the characteristics of the graph.
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