Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2011 | May-Jun | (P2-9709/21) | Q#6
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Question
a. Find
b. Show that
Solution
a.
We are required to find;
We can expand the integrand as;
Rule for integration of 
is:
Rule for integration of 
, or 
;
b.
We are required to show that;
We have trigonometric identity;
Therefore;
Hence;
Rule for integration of is:
Rule for integration of 
is:
Rule for integration of 
is:
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