3) The above graph shows two curves, f(x) = x2 - 2x + 1 and g(x) = x3 -2x2 -4x + 5. The graphs intersect at x = -1.236, x = 1, and x = 3.236. Let R be defined as the area bounded between the graphs of f(x) and g(x). (a) Using a calculator, find the value of R (b) Let R be the base of a solid whose cross sections perpendicular to the x - axis are regular hexagons. (The area of a regular hexagon with side length s is A = 3V/3 $2). Set up 2 but do not evaluate an integral expression that evaluates the volume of the solid. (c) Set up but do not evaluate an integral expression that calculuates the volume of the solid generated when R is revolved about the line x = 4