| Exam Board | OCR |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Areas by integration |
| Type | Area under polynomial curve |
| Difficulty | Moderate -0.3 This is a straightforward integration question requiring students to find intersection points with the x-axis (factorising a simple quadratic), then integrate a polynomial between those limits. While it involves multiple steps, each is routine for C2 level with no conceptual challenges or problem-solving insight required, making it slightly easier than average. |
| Spec | 1.08e Area between curve and x-axis: using definite integrals |
Find the area of the finite region enclosed by the curve $y = 5x - x^2$ and the $x$-axis. [6]
\hfill \mbox{\textit{OCR C2 Q2 [6]}}