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

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  Question

a.   Show that

b.   By using an appropriate trigonometrical identity, find the exact value of

Solution

a.    

We are required to show that;

Rule for integration of  is:

b.    

We are required to find exact value of;

We know that , therefore;

Hence;

Rule for integration of  is:

Rule for integration of  is:

Rule for integration of  is:

Since ;

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