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4. (* *) (a) (7 marks) Express x f (20) = 8x2 - 2x - 3 as a sum of partial fractions. (b) (7 marks)

4. (* *) (a) (7 marks) Express x f (20) = 8x2 - 2x - 3 as a sum of partial fractions. (b) (7 marks) Using the substitution u = x3, calculate 2x2e-2 d.x. (c) (6 marks) Calculate the volume of the solid produced by rotating the region bounded by the curves x = 1, x = 2, y = 0 and y = 8x2 - 2x - 3 + 2x2e-23

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