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Chapter 3 Integration – Rules of Definite Integrals Additional Mathematics Form 5 1. Given that , find (a) (b) the value of k if 2. Given that , find (a) (b) 3. Given that , find the value of m if 4. Given that , find the value of k if . 5. Given that and , where k is a constant and k > -2. Find (a) (b) The value of k. 6. Given that , find (a) (b) The value of k where Page | 1

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Page 1: Chapter 3 Integration.docx

Chapter 3 Integration – Rules of Definite Integrals Additional Mathematics Form 5

1. Given that , find

(a)

(b) the value of k if

2. Given that , find

(a)

(b)

3. Given that , find the value of m if 4. Given that , find the value of k if

.

5. Given that and , where k is a constant and k > -2. Find

(a)(b) The value of k.

6. Given that , find

(a)

(b) The value of k where

7. Given that and , find the value of w.

8. Given that , find the value of k if

Page | 1

Page 2: Chapter 3 Integration.docx

Chapter 3 Integration – Rules of Definite Integrals Additional Mathematics Form 5

9. Given that , find

(a)

(b)

10. Given that and

, find the value of h.

11. Given that , find

(a)

(b)

12. Given that ,find the value of k if

13. Given that , find the value of

.

14. Given that and . Find the

value of

15. Given that , find

(a)

(b) The value of k if

16. Given that , find

(a)

(b)

Page | 2

Page 3: Chapter 3 Integration.docx

Chapter 3 Integration – Rules of Definite Integrals Additional Mathematics Form 5

17. Given that and . Find the

value of k where k is a constant if

18. Given that and . Find the

value of m if .

19. Given that and , find the value of

(a)

(b) k if

20. Given that and . Find

.

21. Given that , find the value of

.

22. Given that , find

.

23. Given that , find 24. Given that and , find the value of k.

Page | 3

Page 4: Chapter 3 Integration.docx

Chapter 3 Integration – Rules of Definite Integrals Additional Mathematics Form 5

25. Given that and , find the value of k.

26. Given that and , find the value of

.

27. Given that and . Find the value of

(a)

(b) h if

28. Given that and , where f(x) is a

function of x. Evaluate

29. Given that and , find the value of

(a) +

(b) k if

30. Given that , find the value of

(a)

(b) h if

31. Given that and . Find the value of

(a)

(b) k if

32. Given that and . Find

(a)

(b)

Page | 4

Page 5: Chapter 3 Integration.docx

Chapter 3 Integration – Rules of Definite Integrals Additional Mathematics Form 5

33. Given that and .Find the value of k.

34. Given that . Find the value of p if

35. Given that , find

(a)

(b)

36. Given that , find .

37. Given that , find . 38. Given that , find

(a) the value of

(b) the value of k if

39. Given that , find the value of 40. Given that ,find the value of

.

Page | 5

Page 6: Chapter 3 Integration.docx

Chapter 3 Integration – Rules of Definite Integrals Additional Mathematics Form 5

Page | 6