# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01R) | Year 2014 | June | Q#8

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**Question**

,

Given that y=37 at x=4, find y in terms of x, giving each term in its simplest form.

**Solution**

We are given that;

We are given coordinates of appoint that is y=37 at x=4 ie (4,37).

We are required to find the equation of y in terms of x.

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

Therefore,

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. .

Therefore, substituting the coordinates of point(4,37) in above equation;

Therefore, equation of the curve C is;

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