Problem 1 (30 points) Determine the area that is below f(x) = 3 + 2x - x2 and above the x axis. Hint: To find the area, determine first the closed interval [a, b] over which you will integrate. Show how you derived the closed interval using Mathematica. . Plot and shade the area under the curve and above the x axis. Hint: Fix the domain {x, x1, x2} and range PlotRange- {y1, yz} such that only the area under the curve and above the x axis is shown in the graph. Choose the domain and range. Suppose we are only interested in the closed interval [0, 2] for f (x) = 3 + 2x - xk Find the area of the curve f(x) over the closed interval [0, 2]. Plot and shade the area under the curve and above the x axis over the interval [0, 2]. Hint: Fix the domain {x, X1, X2} and range PlotRange . [y1, y2) such that only the area under the curve and above the x axis is shown in the graph. Choose the domain and range