6 2. (a) Use the Maclaurin series expansion for cos x to determine the series expansion of cos2 3 x    in ascending powers of x, up to and including the term in x 4 Give each term in simplest form. (2) (b) Use the answer to part (a) and calculus to find an approximation, to 5 decimal places, for 2 2 6 1 cos d 3          ∫ π π x x x (3) (c) Use the integration function on your calculator to evaluate 2 2 6 1 cos d 3          ∫ π π x x x Give your answer to 5 decimal places. (1) (d) Assuming that the calculator answer in part (c) is accurate to 5 decimal places, comment on the accuracy of the approximation found in part (b). . (1) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________