Figure 1 shows the curve with equation 2x 3x + 4 X>0 The finite region S, shown shaded in Figure 1, is bounded by the curve, the x-axis and the line x = 2 The region S' is rotated 360 about the x-axis. Use integration to find the exact value of the volume of the solid generated, giving your answer in the form k In a, where k and a are constants. (5)