Page 205 - ADVANCED MATH F.5

Form Five Form Five

2 2
23
28. 29. ln( ) 30.
5
15 3
31. 1 32. 6 33. 1
FOR ONLINE READING ONLY
3 40 (ln 2 ) 2
34. 35. 36.
2 3 4
3π 38. 3 4ln 2+
37. + 1 39. 9
8
1 e 5 1 − 42. 2ln 2 2ln3−
40. 41.
6 2
3 1 7
43. 44. 12ln3 8− 45. −
10 36 36e 6
26 59 ln 2 ln 3− 48. 3ln3 5ln 2−
46. ln 2 − 47. −
3 18 2
33 203 51. 0
49. 50.
8 480
2 2 54. π
52. 53.
35 15
5 π 1
1
−
55. 56. 57. (tan ( ) − π )
3
2 4 2 2 4
4 π − 1 1
−
58. tan ( ) 59. 60. 6 4 2 7sin ( )− − 3
1 1
3 3 4
Applications of integration
The area under a curve and the area enclosed between two curves
Teaching steps
1. Guide students through a jigsaw to describe the area under a
curve and the area enclosed between two curves. Encourage
students to explore additional resources, such as online
tutorials or reference books, to enrich their understanding and
for further practice.

199
Mathematics for Advanced Secondary Schools

30/06/2024 18:02:53
ADVANCED MATH F.5 TG CHAPTERS.indd 199
ADVANCED MATH F.5 TG CHAPTERS.indd 199 30/06/2024 18:02:53