| Exam Board | OCR MEI |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Integration by Substitution |
| Type | Partial fractions after substitution |
| Difficulty | Moderate -0.3 This is a straightforward partial fractions integration question requiring standard techniques: decompose into partial fractions, integrate each term using logarithms, and combine. The algebra is routine with simple linear factors, making it slightly easier than average but still requiring multiple steps for the 7 marks available. |
| Spec | 1.02y Partial fractions: decompose rational functions1.08j Integration using partial fractions |
Using partial fractions, find $\int \frac{x}{(x+1)(2x+1)} dx$. [7]
\hfill \mbox{\textit{OCR MEI C4 Q1 [7]}}