1. Sketch the region bounded by the graphs of y = x3 - x and y = x2 + x and find the area of the region. Leave your answer in simplest exact form. 2. Sketch the region bounded by the graphs of x = 3y - y2 and x = 2y3 - y2 - 5y and find the area of the region. Leave your answer in simplest exact form. 3. The region bounded by the graphs of y = x and y = x3 in the first quadrant is revolved about the x-axis. Draw the diagram and find the volume of the solid using the washer method. Leave your answer in terms of n in simplest exact form. 4. Use the shell method to find the volume of the solid of question 3. Draw the diagram and leave your answer in terms of n in simplest exact form. 5. Find the arc length of f (x) = = (x2 -2)3/2 from x = 1 to x = 3