Exam-style Questions: Integration
1. a) By using the substitution u = 4- sin x, or otherwise, find
b) Hence, or otherwise, find
(Marks available: 6)
Answer outline and marking scheme for question: 1
Give yourself marks for mentioning any of the points below:
a) u = 4 - sin x, therefore du = (-) cos x dx.
Substitute u into the given equation gives:
Integrating this gives:
Therefore:
(4 marks)
b) Use u = 2x, therefore 1/2 du = dx
Substitute u into the given equation and integrating gives:
(2 marks)
(Marks available: 6)