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?
how do you find the volume of the object?
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
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
Answered by
Stanley
64pi/6