Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2011 | Oct-Nov | (P2-9709/22) | Q#4

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  Question

Find the exact value of the positive constant k for which 

Solution

We are given that;

Rule for integration of , or ;

Therefore;

Let ;

Therefore;

Taking logarithm of both sides;

Power Rule;

Since ;

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