Consider the region, R, bounded by the curves x : y2 + 2 _. y = x 4 , and y = 0. The graph of R is provided. For each part below, sketch the region again showing a representative rectangle and any other needed information; then set up the requested integral. You do not need to solve the integral. (20) .. a. Write a single integral that nds the area of R. b. Write a single integral that nds the volume of the solid generated when R is rotated around the line y = 2 . 0. Write a single integral that nds the volume of the solid generated when R is rotated around the y-axis. d. Write a single integral that nds the volume of the solid whose base is R and whose cross- sections taken perpendicular to the base and parallel to the x-axis are semicircles