(a) (7 marks) Express 3:2 + 1 2:173 3:102 8x 3 at) = as a sum of partial fractions. (b) (7 marks) Using integration by parts, calculate [(122 +1)ez d1; (c) (6 marks) Calculate the volume of the solid produced by rotating the region bounded by the curves .7; = 4, a; = 5, y = 0 and m2+1 2 l I 2x33x28m3l(x + )0 y: around the 3: axis