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2. For each of the following regions, sketch the region and the section obtained (slicing or cylindrical shells) and then: a. compute the area under the curve b. rotate the region about the indicated axis and compute the volume of the solid obtained in this way y = 3x + 2, y = 0, x = 0, x = 2 about the x-axis y = 2x(x - 1)2, y = 0 about the y-axis x = y',y = 0,x = 1, x = 2 about the y-axis y2 = 2x, y = 3, x = 0 about the y-axis xy = 1, x = 0, y = 1, y = 3 about the x-axis x = 2y ,y 2 0, x = 2 about y = 2