Page 200 - ADVANCED MATH F.5

Form Five Form Five

3. In groups, formulate an engaging strategy that will assist
students to perform Examples 9.52 to 9.55 in the Student’s
Book. Allow students to share alternative methods of solving
the integrals which involve splitting the numerator.
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4. Engage students in groups to use scientific calculators and
mathematical softwares to verify the solutions of Examples
9.53 to 9.55 in the Student’s Book. Advise them to share their
solutions through gallery walk.

5. Require students to attempt Exercise 9.10 in the Student’s
Book. 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 9.10

1 2 − 1 x
5
1. ln x ++ 7 tan ( ) c+
2 5 5
1 1
1
−
+
2. 4 ln 4x + 2 12x + 10 + 2 tan (2x + 3) c
3.

7 1
4. − ln sinθ 3cosθ + θ − + c
10 10

−
5. ln x + 2 2x + 10 + 1 3 tan ( (x + 3 1)) c+
1 1
1
3
6. ln y +− + c
y + 3
3 2 5 − 1 1
+
5
7. 2 ln u + 2u ++ 2 tan ( (u + 1)) c
2
194
Mathematics for Advanced Secondary Schools

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ADVANCED MATH F.5 TG CHAPTERS.indd 194