what is the volume of the solid, spun around the y axis of f(x) = 2x^2 -x^3, from x=[0,2] ?

what is the volume of the solid, spun around the y axis of f(x) = 2x^2 -x^3, from x=[0,2] ?

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in other words, bounded by f(x) and the positive x axis

The integration Of the function squared. Only difference is, you solve for x in terms of y.

thats a bit difficult; lots of radicals involved; there is an easier way tho :)

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