| Exam Board | Edexcel |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Integration by Substitution |
| Type | Definite integral with simple linear/polynomial substitution |
| Difficulty | Standard +0.3 This is a straightforward integration by substitution question where the substitution is given explicitly. Students need to find du/dx, change limits, and integrate u^(-2), which are all standard C4 techniques. The algebra is clean and the question follows a predictable template, making it slightly easier than average. |
| Spec | 1.08h Integration by substitution |
Use the substitution $u = 4 + 3x^2$ to find the exact value of
$$\int_0^2 \frac{2x}{(4 + 3x^2)^2} \, dx .$$
[6]
\hfill \mbox{\textit{Edexcel C4 Q1 [6]}}