Problem 5: Let R be the shaded region bounded by the equations y=ex1,x=0, and y=4. Set up an integral that would calculate each of the following quantities in terms of x and y(if not applicable to the situation enter DNE), but do not evaluate the integral. Please use the back of this page to show your work.a) The area of R.b) The volume of a solid generated by rotating R about the y-axis.c) The volume of a solid generated by rotating R about the line x=5.d) The volume of a solid with base R and cross sections perpendicular to the y-axis are triangles with height triple the base and the base lies on R.e) The arc length of the curve y=ex1 that bounds R.f) The moments about the x-axis (used to calculate ?bar(y)).g) The moments about the y-axis (used to calculate x).