# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2017 | May-Jun | (P2-9709/23) | Q#7

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**Question**

**a) **Find

**b) **

**
i. **Find

**
ii. **Hence find

giving your answer in the form .

**Solution**

**a) **

We are required to find;

Rule for integration of is:

First we integrate .

From we can obtain;

Rule for integration of is:

Rule for integration of is:

Rule for integration of is:

Next we integrate .

Rule for integration of is:

Finally, we integrate .

Rule for integration of is:

Hence;

**b) **

i.

We are required to find;

Rule for integration of is:

First we integrate .

Rule for integration of is:

Next we integrate .

For ;

Hence;

ii.

We are required to find the following in the form .

As demonstrated in (i);

Hence;

Power Rule;

Division Rule;

Power Rule;

Multiplication Rule;

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