# 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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