Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2011 | Oct-Nov | (P2-9709/23) | Q#4
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Question
i. Express 
in terms of 
.
ii. Hence show that
Solution
i.
We are given that;
From this we can write;
We have the trigonometric identity;
From this we can write;
Hence;
ii.
We are required to show that;
We have found in (i) that;
Therefore;
Rule for integration of 
is:
Rule for integration of 
is:
Rule for integration of 
is:
Rule for integration of 
is:
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