1) Consider the region bounded by y = x3 and y = 2x, in the first quadrant (where x and y are positive). [ 5pts. ] 2 Our goal is to determine an expression for the area of the region. Do the following: a) Determine the intersection points of the curves. Show all algebraic work. b) Draw and label on the graph a representative slice for the area of that region (so that I know whether you are taking vertical or horizontal slices). c) Give a specific expression for the area of that representative slice. d) Give a Riemann Sum that approximates the area of that region. e) The limit of the Riemann Sum as n - co is a definite integral. Give that definite integral whose value is the precise area of that region. No need to evaluate the integral