Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2019 | Oct-Nov | (P2-9709/22) | Q#6

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Question

a.   Show that

b.   Find the exact value of

Show all necessary working.

Solution

a.    

We are required to show;

Rule for integration of  is:

Division Rule;

Power Rule;

b.    

We are required to find;

Since , we can rearrange to write;

Rule for integration of  is:

Rule for integration of  is:

Rule for integration of  is:

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