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# BBMP1103 - Sept 2011 exam workshop - part 4

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Prepared by Dr. Richard Ng

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### BBMP1103 - Sept 2011 exam workshop - part 4

1. 1. BBMP 1103 Mathematic ManagementExam Preparation Workshop Sept 2011 Part 4 - Integration Presented By: Dr Richard Ng 26 Nov 2011 2ptg – 4ptg
2. 2. 4. Focus on Integration Question: 10 (May 2010)Prepared by Dr Richard Ng (2011) Page 2
3. 3. Suggested Answers: 2 a) (3x x)( x 1).dx (3x 3 3x 2 x2 x).dx (3x 3 2x 2 x).dx 3x 4 2x3 x2 c 4 3 2 x5 x3 x5 x3 b) 5 .dx 5 5 .dx x x x 1 x 2 .dx 1 x x c 1 1 x c xPrepared by Dr Richard Ng (2011) Page 3
4. 4. Question: 11 (Jan 2010) Determine the following: 1 (4 marks) a) 1 .dx x3 b) x x3 2 .dx (4 marks) 3 c) (4 x 3 2).dx (4 marks) 2Prepared by Dr Richard Ng (2011) Page 4
5. 5. Suggested Answers: 1 3 a) 3 1 .dx (x 1).dx x 2 x x c 2 1 2 x c 2x 1 b) x x3 2 .dx (x 2 ) x3 2 .dx 7 1 x2 2x 2 .dxPrepared by Dr Richard Ng (2011) Page 5
6. 6. 7 1 x2 2x 2 .dx 9 3 x2 x2 2 c 9 3 2 2 9 3 2 4 x2 x2 c 9 3Prepared by Dr Richard Ng (2011) Page 6
7. 7. 3 4 3 4x c) (4 x 3 2).dx 2x 2 4 2 4 3 x 2x 2 (3) 4 2(3) (2) 4 2(2) 81 6 16 4 87 20 57Prepared by Dr Richard Ng (2011) Page 7
8. 8. End ofPart 4