Let R be the region bound by the equations y = 2 + cos(x) and y = csc(x) in the first quadrant on the
interval 0 ≤ x < π.
a) Write, but do not solve, an equation involving integral expressions whose solution is the area of
the region R.
b) Write, but do not solve, an equation involving integral expressions whose solution is the volume
of the solid generated when R is revolved around the x-axis.
c) Write, but do not solve, an equation involving integral expressions whose solution is the volume
of the solid generated when R is revolved around the line x = –1.