13356 11 (a) Find the exact value of ∫0 π 6 (sin x + cos x)2 dx [7] [Turn over 13356 13356 (b) The graphs of the functions f(x) = x ln x and g(x) = x + 1 are shown in Fig. 3 below. 1 2 3 4 5 x O 1 2 3 4 5 y f(x) g(x) Fig. 3 Find the exact value of the shaded area. [11] 13356 Permission to reproduce all copyright material has been applied for. In some cases, efforts to contact copyright holders may have been unsuccessful and CCEA will be happy to rectify any omissions of acknowledgement in future if notified. Examiner Number Sources: All images © CCEA DO NOT WRITE ON THIS PAGE 13356/6 For Examiner’s use only Question Number Marks 1 2 3 4 5 6 7 8 9 10 11 Total Marks THIS IS THE END OF THE QUESTION PAPER