| Exam Board | OCR |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2010 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Numerical integration |
| Type | Trapezium rule accuracy improvement explanation |
| Difficulty | Moderate -0.8 This is a straightforward application of the trapezium rule with clearly specified parameters (3 strips, width 3). Part (i) requires only substitution into the standard formula with simple cube root evaluations. Part (ii) tests basic understanding that more strips improve accuracy—a standard bookwork response. No problem-solving or conceptual challenge beyond routine procedure. |
| Spec | 1.09f Trapezium rule: numerical integration |
2 (i) Use the trapezium rule, with 3 strips each of width 3 , to estimate the area of the region bounded by the curve $y = \sqrt [ 3 ] { 7 + x }$, the $x$-axis, and the lines $x = 1$ and $x = 10$. Give your answer correct to 3 significant figures.\\
(ii) Explain how the trapezium rule could be used to obtain a more accurate estimate of the area.
\hfill \mbox{\textit{OCR C2 2010 Q2 [5]}}