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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