Figure 1 shows part of the curve y=- (1+4x) the x-axis, and the lines x = 0 and x = 2, as shown shaded in Figure 1. (a) Use integration to find the area of R. il The region R is bounded by the curve, The region R is rotated 360 about the x-axis. (b) Use integration to find the exact value of the volume of the solid formed. (5)