Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2010 | Oct-Nov | (P2-9709/23) | Q#4

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Question

a.   Find .

b.   Express  in terms of  and hence find .

Solution

a.    

We are required to find;

Rule for integration of , or ;

b.    

We know that , therefore;

Hence;

Therefore;

Rule for integration of  is:

Rule for integration of  is:

Rule for integration of  is:

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