Nội dung text Copy of T900 - MATHEMATICS N6 MEMO AUG 2016.pdf
MARKING GUIDELINE -3- T900(E)(A5)T MATHEMATICS N6 Copyright reserved Please turn over QUESTION 2 2.1 x c x x x c x x x dx x or x x x x x x x y x x dx 1 2 1 2 2 2 2 2 2 2 2 2 ( 1) 2 69 2 2( 1) 2 69 ( 1) sin 2 69 2 ( 1) 2 69 2 ( 1) 2 69 ( 1) sin 2 69 2 ( 1) 2 69 2 ( 1) ] 2[34,5 ( 1) ] 2 69 2[ ] 2 69 2[( 1) 1] 2 67 2[( 1) ) 2 67 2( 2 2 4 67 67 4 2 OR x x c x 1 2 0,707( 1) 34,5 ( 1) 5,874 ( 1) 48,79sin (8)
MARKING GUIDELINE -4- T900(E)(A5)T MATHEMATICS N6 Copyright reserved Please turn over 2.2 x c x x x dx x x x x x dx x x x x dx x x x x x g x x f x f x x g x x y x x dx ln( 1) 6 1 2 . 3 1 .tan 3 ) 1 ( 3 1 .tan 3 3 1 1 .tan 3 ) 3 ( 1 1 .tan 3 3 ( ) 1 1 '( ) ( ) tan '( ) arctan . 2 2 1 3 2 1 3 2 3 1 3 3 2 1 3 3 2 1 2 2 (6) 2.3 y tan 7x.tan 7xdx 3 2 tan 7x.(sec 7x 1)dx 3 2 tan 7x.sec 7x)dx tan 7xdx 3 2 3 (tan7x) .7sec 7xdx tan 7x.tan7xdx 7 1 3 2 2 x xdx x (sec 7 1).tan7 4 tan 7 . 7 1 2 4 x xdx xdx x sec 7 .tan7 tan7 28 tan 7 2 4 x c x x ln(sec7 ) 7 1 2 tan 7 . 7 1 28 tan 74 2 x c x x ln(sec7 ) 7 1 14 tan 7 28 tan 74 2 (10) x x x x x x 1 3 2 3