Question 3 (a) Interpret n kn lim cos n=co n K= 1 as a definite integral and evaluate it. (10 marks) (b) Let R be the region bounded by the curves y = (x - 1) and y = x - 1. Apply the method of cylindrical shells to find the volume of the solid of revolution obtained when R is rotated 27 radians about the line x = 1. Show your working clearly. (10 marks)