Volume of revolution, is my equation correct?

Bee

New member
find the volume of the solid obtained by rotating the region bounded by the curves y=x and y=x^2 about the line y=2

I got -1/5 by using: Integral from 0 to 1 of pi[(2-x)^2] - pi[(2-x^2)^2]
I can solve the rest, I just need to know whether my initial equation is correct. Thank you :)
 
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