| Exam Board | Edexcel |
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| Module | C1 (Core Mathematics 1) |
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| Year | 2013 |
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| Session | January |
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| Topic | Standard Integrals and Reverse Chain Rule |
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8.
$$\frac { \mathrm { d } y } { \mathrm {~d} x } = - x ^ { 3 } + \frac { 4 x - 5 } { 2 x ^ { 3 } } , \quad x \neq 0$$
Given that \(y = 7\) at \(x = 1\), find \(y\) in terms of \(x\), giving each term in its simplest form.