| Exam Board | OCR |
|---|
| Module | C2 (Core Mathematics 2) |
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| Topic | Indefinite & Definite Integrals |
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6. (i) Evaluate
$$\int _ { 2 } ^ { 4 } \left( 2 - \frac { 1 } { x ^ { 2 } } \right) \mathrm { d } x$$
(ii) Given that
$$\frac { \mathrm { d } y } { \mathrm {~d} x } = 2 x ^ { 3 } + 1$$
and that \(y = 3\) when \(x = 0\), find the value of \(y\) when \(x = 2\).