Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2012 | May-Jun | (P2-9709/23) | Q#7

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Question

(i)          Show that (2 sin x + cos x)2 can be written in the form

(ii)        Hence find the exact value of 

Solution

     i.
 

We are given that;

We have formula;

Therefore;

Therefore;

Therefore;

   ii.
 

We are required to find the exact value of;

From (i) we know 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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