| Exam Board | OCR |
|---|
| Module | C2 (Core Mathematics 2) |
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| Topic | Indefinite & Definite Integrals |
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3. Given that
$$\frac { \mathrm { d } y } { \mathrm {~d} x } = 3 \sqrt { x } - x ^ { 2 }$$
and that \(y = \frac { 2 } { 3 }\) when \(x = 1\), find the value of \(y\) when \(x = 4\).