(a) Why is u = cos(x) and dux de a poor choice for evaluating z cos(r)...

 

Transcribed Image Text:

(a) Why is u = cos(x) and dux de a poor choice for evaluating z cos(r) dr. 3 marks (b) Consider the following integral. 12 cost 12 cos(r) In(sin(r)) dr Let u = sin(z). i) Express the above integral in terms of w. ii) Hence or otherwise evaluate the given integral. 2 marks 5 marks (a) Why is u = cos(x) and dux de a poor choice for evaluating z cos(r) dr. 3 marks (b) Consider the following integral. 12 cost 12 cos(r) In(sin(r)) dr Let u = sin(z). i) Express the above integral in terms of w. ii) Hence or otherwise evaluate the given integral. 2 marks 5 marks