# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2011 | January | Q#7

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**Question**

The curve C with equation y=f(x) passes through the point (-1,0).

Given that

Find f(x).

**Solution**

We are required to find f(x), when;

We are also given that the curve passes through the point P(-1,0).

Clearly it is the case of finding equation from its derivative.

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

For the given case;

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 also given that the curve passes through the point (-1,0).

Therefore, substituting given values of y and x.

Hence, above equation obtained from integration can now be written as;

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