Additional Mathematics
Integration 1 (Integration of different functions)
Answer Key:

1. Find the following integrals with respect to x :

(a) (b)

(c) (d)

(e) (f)

(g) (h)
(i) (j)
(k) (l)

2. ; k = 3

3. (a) k = 7 (b) (c)

4.

6.

9. ;

10. ; Additional Mathematics
Integration 2 (Area)

1. Area = = = = 57

3. Area = = 6 - = 6 – =

4. (i) Sub y = x2 into ,

x = -5 or 3 àP = (3, 9)
Sub y = 0, 2x = 15
x = 7.5 à Q = (7.5, 0)

(ii) Area = dx +
= [9 - 0] + 20.25
= 29.3 (3 s.f.)

6. Area = dx = -4 = 8

7. Sub y = 4 into ,

Area =
=
=
=
= 0.27 (2 d.p.)

8. Sub x = 2 into ,


Area of shaded region
=
=
=
=
= = 3.77 (2 d.p.)

9. Sub into ,

When x = 2, y = 7
Sub x = 0 into ,
y = 3
Sub x = 0 into ,
y = 11

Area of shaded region
= +
= +
=
= 19.5 (3 s.f.)

10. Sub into ,

When x = 16, y = 4

Area of shaded region
= dx -
= - 32
=
=

this is what i get when i copy paste! sorry people!

posted by ervina

Hello stranger, we are a class made up of 27 fatabulous people. We are from MANJUSRI SECONDARY - 4E2 Class of 2008 .& if you have got a problem with any of us.Just scram.Do not stain our blog with your nonsense.

Andrina Harrison Lee Ling[30th May 1992]
Apichaya(BRIGHT)[07th May 1992]
Chai Jia Yuan[03th November 1992]
Chan Hoi Ying[10th March 1990]
Chong Hui Ting[09th August 1992]
Ervina[11th December 1991]
Goh Si Ying[14th December 1992]
Hngoi Jia Hui[10th April 1992]
Janet Lau Shan Xiu[04th September 1992]
Lim Jia Ni[25th August 1992)
Lim Yi Zhen[15th April 1992]
Ling Peck Shan[27th December 1992]
Nita[03th September 1992]
Teo Kai Zhi[02th December 1992]
Catherine Toh Li Hong[05th June 1992]
Wong Meng Mei[22th January 1990]
Kim Xie Jia Jing[08th December 1992]
Yuliana[15th September 1990]
Bai Lu[18th February 1990]
Choy Kai Tat[03th March 1992]
Heng Qi Ping[24th November 1992]
Katsuhito Taira[12th May 1992]
Kelvin Kok[17th December 1992]
Derrick Lee Jie Min[28th May 1992]
Marcus Tan Yong Wei[27th May 1992]
Micheal Suwandi[11th September 1992]
Sear tin[26th February 1990]
Yong Zhen Jun[29th December 1992]

ps.12 12 ;D!!!TAG BOARD

CRAP BOARD