1) *A calculator is required for this question Let R and S be the regions bounded by the functions f(x) = 1 + x + 8x24" and g(x) = x4 6.53:2 + 6x + 2. (a) Set up an expression involving integrals that calculates R + S, then solve using a calculator. (b) Let R be the base of a solid whose cross sections perpendicular to the xaxis are isosceles right triangles, with one leg on R. Set up an integral that calculates the volume of this solid. (0) Set up an integral that calculates the volume of the solid generated when R is revolved about the line y = 4 (d) Set up an integral that calculuates the volume of the solid generated when R is revolved about the line 36 = 1