BBMP 1103Mathematic Management

Exam Preparation Workshop Sept 2011Part 4 - Integration

Presented By: Dr Richard Ng

26 Nov 20112ptg – 4ptg

Prepared by Dr Richard Ng (2011) Page 2

Question: 10 (May 2010)

4. Focus on Integration

Prepared by Dr Richard Ng (2011) Page 3

Suggested Answers:

dxxxx ).1)(3( 2a) dxxxxx ).33( 223

dxxxx ).23( 23

cxxx

23

2

4

3 234

b)

dxx

xx.

5

35

dxx

x

x

x.

5

3

5

5

dxx .1 2

cx

x

1

1

cx

x 1

Prepared by Dr Richard Ng (2011) Page 4

Question: 11 (Jan 2010)

Determine the following:

dxx

.113

dxxx .23

3

2

3 ).24( dxx

a)

b)

c)

(4 marks)

(4 marks)

(4 marks)

Prepared by Dr Richard Ng (2011) Page 5

Suggested Answers:

a)

dxx

.113 dxx ).1( 3

cxx

2

2

cxx

22

1

dxxx .23b) dxxx .2)( 32

1

dxxx .2 2

1

2

7

dxxx .2 2

1

2

7

cxx

2

32

2

9

2

3

2

9

cxx 2

3

2

9

3

4

9

2

Prepared by Dr Richard Ng (2011) Page 6

Prepared by Dr Richard Ng (2011) Page 7

3

2

3 ).24( dxxc)3

2

4

24

4

x

x

324 2xx

)2(2)2()3(2)3( 44

416681

2087

57

End ofPart 4