Page 189 - ADVANCED MATH F.5

Form Five Form Five

5. Design strategies for assisting students in groups to perform
Examples 9.14 to 9.22 in the Students Book. Engage students
in groups to use mathematical software to verify answers for
the integrals in the given examples. Advise students to post
FOR ONLINE READING ONLY
their solutions in manila cards, display them on the classroom
walls, and allow them to conduct gallery walk. Finally, share
observations for improvement.

6. Introduce student to the reduction formula which is an extension
of the method of integration by parts. Ask students through
group discussions to find solutions of complex integration
problems that rely on recurrence relations and cannot be
integrated directly. Allow them to share their findings.
7. In groups, design an engaging strategy that will assist students
to solve Examples 9.23, 9.24, and 9.25 in the Student’s Book.
Engage students to use mathematical software to verify the
solutions obtained in the given examples. Advise students to
share their findings through presentations.
8. Require students to attempt Exercise 9.5 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 9.5

1 2x  1  1
x
2
1. 2 e   x −+ 2   + c 2. tan (3 )x − 1 x − 6 ln(1 9 )x + 2 c
+
3. x cos − 1   1  x −  4 x− 2 + c
 2 
4. − x 3 cos x + 3x 2 sin x + 6 cosx x − 6sin xc+

183
Mathematics for Advanced Secondary Schools

30/06/2024 18:02:48
ADVANCED MATH F.5 TG CHAPTERS.indd 183
ADVANCED MATH F.5 TG CHAPTERS.indd 183 30/06/2024 18:02:48