page 06 MARKS 11. (a) Evaluate   π π sin cos 2 5 3 x x dx   . The diagram in your answer booklet shows the graphs with equations sin 5 y x  and cos 3 y x  , π 0 2 x   . (b) On the diagram in your answer booklet, shade the area represented by the integral in (a). 12. Express 2 2 12 7 x x    in the form   2 a x b c  . 13. Functions f and g are defined by: •  sin 2 f x x  , where π 0 2 x   •  2 g x x  , where π 0 4 x   (a) (i) Evaluate π 6 f g             . (ii) Determine an expression for    f g x . (b) (i) Given that  1 3 f p  , determine the exact value of sin p. (ii) Hence, determine the exact value of    f g p . [END OF QUESTION PAPER] 3 1 3 1 2 1 3 page 07 [BLANK PAGE] DO NOT WRITE ON THIS PAGE page 08 [BLANK PAGE] DO NOT WRITE ON THIS PAGE