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Diagram not y = f(x) drawn to scale R W/A O UI Figure 2 (a) Find J (2x - 1)2 (2) Figure 2 shows a sketch of the curve with equation y = f(x) where 12 f(x) = IEx$5 (2x - 1) The finite region R. shown shaded in Figure 2, is bounded by the line with equation x = 1, the curve with w/A equation y = f(x) and the line with equation The region R is rotated through 27 radians about the x-axis to form a solid of revolution. (b) Find the exact value of the volume of the solid generated, giving your answer in its simplest form. (6) (Total for question = 8 marks)