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Diagram not drawn to scale C R 12 X Figure 3 (a) By using the substitution u = 2x + 3, show that x OIN ( 2 x + 3) 2 dx = _ In3- (7) The curve C has equation 9Vx y = x>0 (2x + 3) The finite region R, shown shaded in Figure 3, is bounded by the curve C, the x-axis and the line with equation x = 12. The region R is rotated through 217 radians about the x-axis to form a solid of revolution. (b) Use the result of part (a) to find the exact value of the volume of the solid generated. (2)