| Exam Board | OCR |
|---|---|
| Module | H240/02 (Pure Mathematics and Statistics) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Topic | Partial Fractions |
| Type | Partial fractions with linear factors – decompose and integrate (definite) |
| Difficulty | Moderate -0.8 This is a straightforward partial fractions question with simple linear factors and a routine integration application. Part (a) requires standard algebraic manipulation to find constants A and B, while part (b) involves integrating to get logarithms and evaluating at given limits. This is a textbook exercise testing basic technique with no problem-solving insight required, making it easier than average. |
| Spec | 1.02y Partial fractions: decompose rational functions1.08j Integration using partial fractions |
4
\begin{enumerate}[label=(\alph*)]
\item Express $\frac { 1 } { ( x - 1 ) ( x + 2 ) }$ in partial fractions\\[0pt]
[2]
\item In this question you must show detailed reasoning.
Hence find $\int _ { 2 } ^ { 3 } \frac { 1 } { ( x - 1 ) ( x + 2 ) } \mathrm { d } x$.\\
Give your answer in its simplest form.
\end{enumerate}
\hfill \mbox{\textit{OCR H240/02 Q4 [7]}}