| Exam Board | OCR |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Numerical integration |
| Type | Simpson's rule application |
| Difficulty | Moderate -0.5 This is a straightforward application of Simpson's rule with clear parameters (4 strips, simple limits). The function e^(cos x) requires no simplification, and students just need to substitute values into the standard Simpson's rule formula. It's slightly easier than average because it's purely procedural with no conceptual challenges or multi-step reasoning. |
| Spec | 1.09f Trapezium rule: numerical integration |
\begin{enumerate}
\item Use Simpson's rule with four strips to estimate the value of the integral
\end{enumerate}
$$\int _ { 0 } ^ { 3 } \mathrm { e } ^ { \cos x } \mathrm {~d} x$$
\hfill \mbox{\textit{OCR C3 Q1 [4]}}