| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 10 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indefinite & Definite Integrals |
| Type | Basic indefinite integration |
| Difficulty | Easy -1.2 This is a straightforward integration question requiring only the power rule applied to three terms. It's routine practice with no problem-solving element—students simply recall and apply ∫x^n dx = x^(n+1)/(n+1) + c, including converting the root to fractional index form. Worth 5 marks only because of the three separate terms to integrate. |
| Spec | 1.08b Integrate x^n: where n != -1 and sums |
| Answer | Marks |
|---|---|
| 5 | 3 4 |
| Answer | Marks | Guidance |
|---|---|---|
| 4 | 5 | 3 4 4 |
| Answer | Marks |
|---|---|
| 1 for +c | 5 |
Question 5:
5 | 3 4
2x6 + x3 +7x+c
4 | 5 | 3 4 4
1 for 2x6; 2 for x3 or 1 for other kx3 ; 1 for 7x;
4
1 for +c | 5
Find $\int (12x^5 + \sqrt[5]{x} + 7) dx$. [5]
\hfill \mbox{\textit{OCR MEI C2 Q5 [10]}}