| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2005 |
| Session | January |
| Marks | 4 |
| 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 standard integral formulas with no problem-solving, making it easier than average but not trivial since it includes a negative power term that students must handle correctly. |
| Spec | 1.08b Integrate x^n: where n != -1 and sums |
| Answer | Marks | Guidance |
|---|---|---|
| \(\frac{x^4}{4}\) | B1 | |
| \(\frac{x^{-2}}{-2}\) | B2 | B1 for \(kx^{-2}\) |
| 4 marks | ||
| \(c\) | B1 |
$\frac{x^4}{4}$ | B1 |
$\frac{x^{-2}}{-2}$ | B2 | B1 for $kx^{-2}$
| | 4 marks |
$c$ | B1 |2 Find $\int \left( x ^ { 3 } + \frac { 1 } { x ^ { 3 } } \right) \mathrm { d } x$.
\hfill \mbox{\textit{OCR MEI C2 2005 Q2 [4]}}