| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2006 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indefinite & Definite Integrals |
| Type | Pure definite integration |
| Difficulty | Moderate -0.8 This is a straightforward integration question requiring only basic power rule application (including negative powers) and definite integral evaluation. The techniques are routine for C2 level with no problem-solving or conceptual challenges—simply apply standard rules and substitute limits. Worth 5 marks but mechanically simpler than a typical multi-part question. |
| Spec | 1.08b Integrate x^n: where n != -1 and sums1.08d Evaluate definite integrals: between limits |
| Answer | Marks | Guidance |
|---|---|---|
| \(x^5/5 - 3 \cdot x^3/1 - 1 + x\) | B3 | 1 each term |
| [value at 2 – value at 1] attempted 5.7 c.a.o. | M1 A1 | dep't on B2 |
$x^5/5 - 3 \cdot x^3/1 - 1 + x$ | B3 | 1 each term |
[value at 2 – value at 1] attempted 5.7 c.a.o. | M1 A1 | dep't on B2 | $5$ |Find $\int_1^2 \left( x^4 - \frac{3}{x^2} + 1 \right) dx$, showing your working. [5]
\hfill \mbox{\textit{OCR MEI C2 2006 Q4 [5]}}