Page 192 - ADVANCED MATH F.5

Form Five Form Five

−
6. ln x 2 ( x + ) 2 3 + 1 + c 7. − 2 2t + 25t + c
2
x t t + 3 (t + ) 3 2
2

FOR ONLINE READING ONLY
1 9 ( x + ) 2 3
8. ln ( y − ) 3 5 y 2 (y + 2) + 5 c 9. ln + c
( x + ) 1 2

1 1
( xx − ) 1  t − 1  5 1  t − 2 1  5
10. ln + c 11. ln   + c 12. − ln −  2  + c
x + 1  t + 4  x − 1 (x −  t + 4  1)

1 9 x − 3
13. − + − + c
4(x + 3) 4 5(x + 3) 5 (x + 3) 6

1 2
3
1  x − 1 4 15. 5ln x −+ + c
14. x − tan ( ) lnx + − 1   + c x − 3
2  x + 1 

2
t 5  x − 4  15
8
xc
16. ln 7 + c 17. ln   ++
(t + 5) 5  x + 4 

1 4 13
3
1
18. 3x + x + ln x −− ln x + 2 + c
3 3 3
1 2 4
19. ln r   r − 1  + c 20. ln (x + 2) + c
 r + 1  (x + 5) 3

x 2 1 1 1 31
+
21. + − − 2x + ln x + ln(x + 2) c
2 4x 4x 2 8 8

186
Mathematics for Advanced Secondary Schools

30/06/2024 18:02:49
ADVANCED MATH F.5 TG CHAPTERS.indd 186
ADVANCED MATH F.5 TG CHAPTERS.indd 186 30/06/2024 18:02:49