Page 183 - ADVANCED MATH F.5

Form Five Form Five

7. Use Examples 9.2 and 9.3 in the student’s Book to guide
students to find solutions of the given integrals following all the
procedures indicated in the Student’s Book. Engage students to
use scientific calculators and mathematical software to verify
FOR ONLINE READING ONLY
the answers of the given examples.
8. Require students to attempt Exercise 9.1 in the student’s Book.
Advise the student to submit their work; check the correctness
in their answers, and provide them constructive feedback.

Answers to Exercise 9.1
1
6
c
7
1. (a) x + (b) x + (c) 3x + (d) x +
c
c
c
−
2
2 3
2
(e) x + (f) x + c
−
c
3
2
1 1
3
c
x
c
2. (a) x + (b) 5e + (c) ln x +
c
3 4
c
(d) 2sinθ + (e) − 1 cosθ + c (f) 4ln secθ + c
2
3 1 12 5
c
c
3. (a) −+ c (b) 2x + (c) t +
4
2
x 5
5 8
(d) 2e− x + c (e) 10cos +θ c (f) x + c
5
4
Integration of simple functions
Teaching steps
1. Guide students to identify integrals which involve simple
functions with mathematical operations on simple polynomials,
fractions, simple trigonometric functions, and exponential
functions. Ask students to use the rules of mathematical
operations such as scalar multiplication, addition, and
subtraction of integral functions to demonstrate that,
177
Mathematics for Advanced Secondary Schools
ADVANCED MATH F.5 TG CHAPTERS.indd 177 30/06/2024 18:02:46
30/06/2024 18:02:46
ADVANCED MATH F.5 TG CHAPTERS.indd 177