| Exam Board | OCR |
|---|---|
| Module | H240/01 (Pure Mathematics) |
| Year | 2018 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Topic | Numerical integration |
| Type | Trapezium rule accuracy improvement explanation |
| Difficulty | Moderate -0.3 This is a straightforward application of the trapezium rule with clearly specified parameters (4 strips, width 0.5), requiring only substitution into the standard formula and calculator work. Part (ii) asks for standard bookwork about improving accuracy (use more strips). While e^(x²) requires careful calculator input, the question involves no problem-solving or conceptual challenge beyond routine procedure. |
| Spec | 1.09f Trapezium rule: numerical integration |
2 (i) Use the trapezium rule, with four strips each of width 0.5 , to estimate the value of
$$\int _ { 0 } ^ { 2 } \mathrm { e } ^ { x ^ { 2 } } \mathrm {~d} x$$
giving your answer correct to 3 significant figures.\\
(ii) Explain how the trapezium rule could be used to obtain a more accurate estimate.
\hfill \mbox{\textit{OCR H240/01 2018 Q2 [4]}}