| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2006 |
| Session | January |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Standard Integrals and Reverse Chain Rule |
| Type | Find indefinite integral of polynomial/power |
| Difficulty | Easy -1.2 This is a straightforward application of the power rule for integration to two simple terms. It requires only direct recall of the formula ∫x^n dx = x^(n+1)/(n+1) + c, with no problem-solving, manipulation, or conceptual insight needed. Easier than average for A-level. |
| Spec | 1.08b Integrate x^n: where n != -1 and sums |
| Answer | Marks | Guidance |
|---|---|---|
| \(\frac{2}{5}x^4 - 3x^2 + c\) o.e. | 5 marks | 1 for each element |
$\frac{2}{5}x^4 - 3x^2 + c$ o.e. | 5 marks | 1 for each element
8 Find $\int \left( x ^ { \frac { 1 } { 2 } } + \frac { 6 } { x ^ { 3 } } \right) \mathrm { d } x$.
\hfill \mbox{\textit{OCR MEI C2 2006 Q8 [5]}}