| Exam Board | OCR |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Standard Integrals and Reverse Chain Rule |
| Type | Definite integral with trigonometric functions |
| Difficulty | Standard +0.3 This is a straightforward definite integration question requiring the double angle formula (sin 2x = 2sin x cos x) to simplify to 2sin²x cos x, then a simple substitution u = sin x. It's slightly above average difficulty due to requiring the trigonometric identity and substitution, but it's a standard C4 technique with clear steps and no conceptual challenges. |
| Spec | 1.08d Evaluate definite integrals: between limits |
Evaluate
$$\int_0^{\frac{\pi}{4}} \sin 2x \cos x \, dx.$$ [5]
\hfill \mbox{\textit{OCR C4 Q3 [5]}}