| Exam Board | Edexcel |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Integration by Parts |
| Type | Integration of x^n·ln(x) |
| Difficulty | Standard +0.3 This is a straightforward application of integration by parts with a standard choice of u = ln x and dv = x² dx, followed by routine integration and substitution of limits. It requires more work than a basic integral but follows a well-practiced technique with no conceptual surprises, making it slightly easier than average. |
| Spec | 1.08i Integration by parts |
Use integration by parts to find the exact value of $\int_1^3 x^2 \ln x \, dx$.
[6]
\hfill \mbox{\textit{Edexcel C4 Q1 [6]}}