| Exam Board | Edexcel |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Topic | Partial Fractions |
| Type | Partial fractions with linear factors – decompose and integrate (definite) |
| Difficulty | Moderate -0.3 This is a standard C4 partial fractions question with straightforward linear factors and a routine integration application. Part (a) requires setting up and solving a simple system for constants, while part (b) involves direct integration of logarithmic terms and simplification using log laws. The question is slightly easier than average because the factors are simple, the limits avoid complications, and the method is entirely procedural with no problem-solving insight required. |
| Spec | 1.02y Partial fractions: decompose rational functions1.08j Integration using partial fractions |
\begin{enumerate}[label=(\alph*)]
\item Express $\frac{5x + 3}{(2x - 3)(x + 2)}$ in partial fractions. [3]
\item Hence find the exact value of $\int_0^1 \frac{5x + 3}{(2x - 3)(x + 2)} dx$, giving your answer as a single logarithm. [5]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C4 Q3 [8]}}