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.