Let Sbe the solid with at base, whose base is the region in the xyplane enclosed by the curves y=ex, y=2, x=0and x=1, and whose cross-sections perpendicular to the xaxis are squares with bases that sit in the xyplane.

a)Find an expression for the area A(x)of the cross-section of Sgiven by the square that stands perpendicular to the xxaxis, at coordinate x. Please help me find anexact formula for A(x) in terms of x.

b)Find the exact volume of S.