# 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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