| Exam Board | AQA |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Year | 2012 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Topic | Numerical integration |
| Type | Trapezium rule with stated number of strips |
| Difficulty | Moderate -0.3 This is a straightforward application of the mid-ordinate rule with clear parameters (four strips, given interval). While it involves cot(x²) which requires calculator use, the method is purely procedural with no problem-solving or conceptual challenge—students simply apply the formula. Slightly easier than average due to being a single-step numerical method question. |
| Spec | 1.09f Trapezium rule: numerical integration |
1 Use the mid-ordinate rule with four strips to find an estimate for $\int _ { 0.4 } ^ { 1.2 } \cot \left( x ^ { 2 } \right) \mathrm { d } x$, giving your answer to three decimal places.
\hfill \mbox{\textit{AQA C3 2012 Q1 [4]}}