| Exam Board | Edexcel |
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| Module | C1 (Core Mathematics 1) |
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| Year | 2011 |
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| Session | January |
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| Topic | Indefinite & Definite Integrals |
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7. The curve with equation \(y = \mathrm { f } ( x )\) passes through the point \(( - 1,0 )\).
Given that
$$\mathrm { f } ^ { \prime } ( x ) = 12 x ^ { 2 } - 8 x + 1$$
find \(\mathrm { f } ( x )\).