| Exam Board | OCR |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Integration by Parts |
| Type | Show that integral equals expression |
| Difficulty | Moderate -0.3 This is a straightforward application of integration by parts with a standard function pair (x and ln x), followed by simple definite integration. The algebra is clean and the evaluation at limits is routine, making it slightly easier than average but still requiring proper technique. |
| Spec | 1.08i Integration by parts |
2. Show that
$$\int _ { 1 } ^ { 2 } x \ln x \mathrm {~d} x = 2 \ln 2 - \frac { 3 } { 4 }$$
\hfill \mbox{\textit{OCR C4 Q2 [5]}}