| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indefinite & Definite Integrals |
| Type | Pure definite integration |
| Difficulty | Moderate -0.8 This is a straightforward C2 definite integration question requiring only basic integration rules (power rule for x^(-2)) and substitution of limits. It's a single-step problem with standard techniques, making it easier than the average A-level question which typically involves multiple steps or concepts. |
| Spec | 1.08d Evaluate definite integrals: between limits |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Marks | Notes |
| \(= [2x + x^{-1}]_2^4\) | M1 A1 | |
| \(= (8 + \frac{1}{4}) - (4 + \frac{1}{2}) = 3\frac{3}{4}\) | M1 A1 | (4) |
## Question 1:
| Answer/Working | Marks | Notes |
|---|---|---|
| $= [2x + x^{-1}]_2^4$ | M1 A1 | |
| $= (8 + \frac{1}{4}) - (4 + \frac{1}{2}) = 3\frac{3}{4}$ | M1 A1 | **(4)** |
---\begin{enumerate}
\item Evaluate
\end{enumerate}
$$\int _ { 2 } ^ { 4 } \left( 2 - \frac { 1 } { x ^ { 2 } } \right) \mathrm { d } x$$
\hfill \mbox{\textit{Edexcel C2 Q1 [4]}}