| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2008 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indefinite & Definite Integrals |
| Type | Find curve from gradient |
| Difficulty | Moderate -0.8 This is a straightforward integration question requiring only the power rule (rewriting √x as x^(1/2), integrating to get 4x^(3/2) + c) and substituting a point to find the constant. It's a standard textbook exercise with no problem-solving required, making it easier than average but not trivial since students must remember to add the constant and use the given point correctly. |
| Spec | 1.08a Fundamental theorem of calculus: integration as reverse of differentiation |
A curve has gradient given by $\frac{\text{d}y}{\text{d}x} = 6\sqrt{x}$. Find the equation of the curve, given that it passes through the point $(9, 105)$. [4]
\hfill \mbox{\textit{OCR MEI C2 2008 Q6 [4]}}