| Exam Board | OCR |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Partial Fractions |
| Type | Partial fractions with linear factors – decompose and integrate (definite) |
| Difficulty | Moderate -0.3 This is a straightforward partial fractions question with simple linear factors (x and 3-x) followed by a standard integration. The factorization is immediate, the partial fraction decomposition is routine, and the integration uses basic logarithm rules. Slightly easier than average due to the simple coefficients and direct application of technique, though it requires correct execution across multiple steps. |
| Spec | 1.02y Partial fractions: decompose rational functions1.08d Evaluate definite integrals: between limits1.08j Integration using partial fractions |
4. (i) Express $\frac { 3 x + 6 } { 3 x - x ^ { 2 } }$ in partial fractions.\\
(ii) Evaluate $\int _ { 1 } ^ { 2 } \frac { 3 x + 6 } { 3 x - x ^ { 2 } } \mathrm {~d} x$.\\
\hfill \mbox{\textit{OCR C4 Q4 [7]}}