Let Sbe the solid with at base, whose base is the region in the xyplane dened by the curves y=e^x, y=3, x=0and x=2, and whose cross-sections perpendicular to the xaxis are semi-circles with diameters that sit in the xyplane.

a)Please help me find the area A(x)of the cross-section of Sgiven by the semi-circle that stands perpendicular to the xyplane, at coordinate x.

b) Please help me find the exact volume of S.