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- Sketch the solid and set-up the iterated double integrals for the area of the region bounded by y2 = x and y = x-2.sketch the described regions of integration. 0 ≤y ≤ 1, y ≤ x ≤ 2y3. Give Three other iterated integrals that are equal to ∫0-->2 ∫0-->y^3 ∫0-->y^2 [f(x, y, z)]dzdxdy Hint: Look at the picture of the region.