# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2018 | Feb-Mar | (P1-9709/12) | Q#1

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**Question**

A curve passes through the point (4, −6) and has an equation for which .

Find the equation of the curve.

**Solution**

We are required to find the equation of the curve from the given derivative.

We can find equation of the curve from its derivative through integration;

We are given;

Therefore;

Rule for integration of is:

Rule for integration of is:

Rule for integration of is:

If a point lies on the curve , we can find out value of . We substitute values of and in the equation obtained from integration of the derivative of the curve i.e. .

We are given that curve passes through the point A(4,-6). Therefore;

Hence, equation of the curve is;

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