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Asked by alexis

The region between the graphs of y=x^2 and y=2x is rotated around the line x=2.
how do you find the volume of the object?
17 years ago

Answers

Answered by drwls
First find the enclosed region between the curves. It looks like it goes from (x = 0, y = 0) to (x = 2, y = 4)

Then perform the integration from x = 0 to 2 of 2 pi(2x - x^2)(2-x)dx. This is a series of thin ring-shaped areas centered on the x=2 vertical line
17 years ago
Answered by Stanley
64pi/6
3 years ago

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