| Exam Board | OCR |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Year | 2008 |
| Session | January |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Partial Fractions |
| Type | Partial fractions with linear factors – decompose and integrate (indefinite) |
| Difficulty | Moderate -0.8 This is a straightforward textbook exercise testing standard partial fractions technique with simple linear factors, followed by routine integration of logarithms. Both parts require only direct application of well-practiced methods with no problem-solving or insight needed, making it easier than average. |
| Spec | 1.02y Partial fractions: decompose rational functions1.08j Integration using partial fractions |
2 (i) Express $\frac { x } { ( x + 1 ) ( x + 2 ) }$ in partial fractions.\\
(ii) Hence find $\int \frac { x } { ( x + 1 ) ( x + 2 ) } \mathrm { d } x$.
\hfill \mbox{\textit{OCR C4 2008 Q2 [5]}}