Consider the region above the graph of y = (@ -2) belowy = 5 between = 1 and x = 4. (a) On your solution sheet, sketch these functions and shade in the resulting region. Clearly indicate any boundary points or curves. (b) Write an integral to represent the area of the region. You do not need to evaluate the integral and find the area. (c) Find the volume of the solid obtained when this region is rotated around the x- axis. Enter the volume you find in the answer box below. Round your answer to two decimal places. Your