set up but DO NOT EVALUATE an integral expression that represents the volume of the following solid: cross sections cut by planes perpendicular to the x axis are semicircles with diameter in the xy planes running from y=x^2 to y = 8-x^2

a) sketch the curve, label the curve, shade the region

b) indicate the axis of rotation (if applicable )

c) draw the representative rectangle, draw the infinitesimal volume element

d) write the integral to be evaluate