Page 202 - ADVANCED MATH F.5

Form Five Form Five

∫
Integrals of logarithmic functions of the form log ax dx , where a
is a constant.
Teaching steps
1. Guide students through discussion to recognize integrals of
3. FOR ONLINE READING ONLY
this form where a is a constant.

2. Assist students through discussion to solve integral of the
∫
,
form: log ax dx where a is a constant.
3. Use Examples 9.58 and 9.59 in the Student’s Book to guide
students to solve integrals of logarithmic functions. Allow
students to share alternative methods of solving integrals of
logarithmic functions.
4. Engage students in groups to use scientific calculators and
mathematical softwares to verify the solutions of Examples
9.58 and 9.59 in the Student’s Book. Advise them to share their
findings through presentation or gallery walk.
5. Direct students to attempt Exercise 9.11 in the Student’s Book.
Advise them to submit their work. Check the correctness
of their answers, and provide them constructive feedback.
Encourage students to explore additional resources, such as
online tutorials, Symbolab, Mathematica, or reference books,
to enrich their understanding and for further practice.

Answers to Exercise 9.11

7 x x 2 − 1
1. c + 4. − + c 7. + c
ln7 ln10 4 ln 4
x
(ln )x 2 3 2x 9 − 37x−
2. + c 5. + c 8. + c
2ln10 2ln3 7ln9
8 x + c 6 12y− 10 x− 1

ln 2 6. − 2ln 6 + c 9. ln10 + c

196
Mathematics for Advanced Secondary Schools

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ADVANCED MATH F.5 TG CHAPTERS.indd 196