| Exam Board | Edexcel |
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| Module | C12 (Core Mathematics 1 & 2) |
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| Year | 2017 |
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| Session | January |
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| Topic | Indefinite & Definite Integrals |
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7. (i) Find
$$\int \frac { 2 + 4 x ^ { 3 } } { x ^ { 2 } } \mathrm {~d} x$$
giving each term in its simplest form.
(ii) Given that \(k\) is a constant and
$$\int _ { 2 } ^ { 4 } \left( \frac { 4 } { \sqrt { x } } + k \right) \mathrm { d } x = 30$$
find the exact value of \(k\).