let R be the region of the first quadrant bounded by the x-axis and the curve y=2x-x^2. Find the volume produced when R is revolved around the X-axis

y is 0 at x = 0 and at x = 2

integral from 0 to 2 of pi y^2 dx
dx[ 4 x^2 - 4 x^3 + x^4 ]

2 x^3 - x^4 + (1/5)x^5 at x = 2

2(8) - 16 + 32/5

32/5