| Exam Board | OCR |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2008 |
| Session | January |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Numerical integration |
| Type | Trapezium rule with stated number of strips |
| Difficulty | Easy -1.2 This is a straightforward application of the trapezium rule with clearly specified parameters (3 strips, width 2). It requires only substituting x-values into the given function and applying the standard trapezium rule formula—pure procedural recall with no problem-solving or conceptual challenge. |
| Spec | 1.09f Trapezium rule: numerical integration |
2 Use the trapezium rule, with 3 strips each of width 2, to estimate the value of
$$\int _ { 1 } ^ { 7 } \sqrt { x ^ { 2 } + 3 } \mathrm {~d} x$$
\hfill \mbox{\textit{OCR C2 2008 Q2 [4]}}