| Exam Board | OCR MEI |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Year | 2009 |
| Session | June |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Standard Integrals and Reverse Chain Rule |
| Type | Definite integral with trigonometric functions |
| Difficulty | Easy -1.2 This is a straightforward application of the reverse chain rule for a simple trigonometric function with a linear argument. It requires only recognizing that ∫sin(3x)dx = -⅓cos(3x) + c and evaluating at the given limits—a routine single-step integration with no problem-solving element beyond basic recall. |
| Spec | 1.08c Integrate e^(kx), 1/x, sin(kx), cos(kx) |
1 Evaluate $\int _ { 0 } ^ { \frac { 1 } { 6 } \pi } \sin 3 x \mathrm {~d} x$.
\hfill \mbox{\textit{OCR MEI C3 2009 Q1 [3]}}