1. (10 points) Given the curve y = 1 + er between the points (0, 2) and (2, 1 + e2): (a) Construct, but do not evaluate, an integral representing the length of the curve. (b) If region R is the region bounded by this curve, the axes and the line r = 2, find the volume of the solid formed by revolving R about the line r = 3 using the shell method