| Exam Board | OCR |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Standard Integrals and Reverse Chain Rule |
| Type | Find curve equation from derivative (straightforward integration + point) |
| Difficulty | Moderate -0.8 This is a straightforward integration question requiring only the power rule for fractional indices and integration of a constant. Students must apply the standard formula, find the constant using the given point, and write the final answer. It's simpler than average A-level questions as it involves no problem-solving, just direct application of a basic technique with one routine step to find C. |
| Spec | 1.08b Integrate x^n: where n != -1 and sums |
3. The curve with equation $y = \mathrm { f } ( x )$ passes through the point (8, 7).
Given that
$$f ^ { \prime } ( x ) = 4 x ^ { \frac { 1 } { 3 } } - 5$$
find $\mathrm { f } ( x )$.\\
\hfill \mbox{\textit{OCR C2 Q3 [6]}}