| Exam Board | OCR |
|---|---|
| Module | H240/03 (Pure Mathematics and Mechanics) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Topic | Numerical integration |
| Type | Trapezium rule with stated number of strips |
| Difficulty | Moderate -0.8 Part (a) is a straightforward application of the trapezium rule formula with given strip width and simple function evaluations requiring only a calculator. Part (b) asks for standard bookwork knowledge (use more strips). This is routine procedural work with no problem-solving or conceptual challenge beyond basic recall of the method. |
| Spec | 1.09f Trapezium rule: numerical integration |
2
\begin{enumerate}[label=(\alph*)]
\item Use the trapezium rule, with four strips each of width 0.25 , to find an approximate value for $\int _ { 0 } ^ { 1 } \frac { 1 } { \sqrt { 1 + x ^ { 2 } } } \mathrm {~d} x$.
\item Explain how the trapezium rule might be used to give a better approximation to the integral given in part (a).
\end{enumerate}
\hfill \mbox{\textit{OCR H240/03 Q2 [4]}}