Question: Let R be the region in the first quadrant bounded by the curves y = x 2 and y = 2x - x 2 .

Let R be the region in the first quadrant bounded by the curves y = x2 and y = 2x - x2 . Calculate the following quantities

  1. The area of R
  2. The volume obtained by rotating R about the x-axis
  3. The volume obtained by rotating R about the y-axis

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