Page 203 - ADVANCED MATH F.5

Form Five Form Five

x x
10. (ln 3x −+ 15. (ln 2x −+
1) c
1) c
ln10 6ln10
1 x
2
1) c
c
11. (ln x ) + 16. (ln 3 4 x −+
FOR ONLINE READING ONLY
2ln 2 ln10
1 x
2 x x ()
1) c
12. + (ln 5x −+ 17. − 3 + c
ln 2 ln10 ln3
(2x + 1)ln 2x + 1 x 18. tan x (ln tan x −+
1) c
13. − + c ln10
2ln10 ln10
x (ln x −+
19.
1) c
)(
x
x
( x +− 1 ln x +− 1 ) ln 2
2
2
14. + c
ln10 (ln 3x ) 2
20. + c
4ln 5
Definite integrals
Teaching steps
1. Design an activity that can be used to assist students to
recognize the definite integral of a function over a specified
interval.
2. Use Examples 9.60 to 9.64 in the Student’s Book to guide
students on how to evaluate a definite integral over a specified
interval.

3. Engage students to use scientific calculators or mathematical
softwares to verify the solutions of Examples 9.60 to 9.64
in the Student’s Book. Advise them to share their solutions
through presentations.
4. Encourage students to solve more examples of evaluating
definite integrals of polynomial, trigonometric, exponential,

197
Mathematics for Advanced Secondary Schools

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