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## Homework Statement

Consider the region between the functions f(x) = x^2 and g(x) = 2x in the first quadrant.

Use the method of cylindrical shells to find the volume generated by rotating about the y axis.

I did this integral

V = 2∏∫x(2x-x^2) dx between [0,2]

I got 2∏((2/3)x^3 - (x^4/4) = 8∏/3

## Homework Equations

I think it is OK just want someone to confirm. Before I turn in.