| Exam Board | Edexcel |
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| Module | C12 (Core Mathematics 1 & 2) |
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| Year | 2019 |
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| Session | January |
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| Topic | Indefinite & Definite Integrals |
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8. Given \(k > 3\) and
$$\int _ { 3 } ^ { k } \left( 2 x + \frac { 6 } { x ^ { 2 } } \right) \mathrm { d } x = 10 k$$
show that \(k ^ { 3 } - 10 k ^ { 2 } - 7 k - 6 = 0\)