| Exam Board | OCR MEI |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Integration by Substitution |
| Type | Definite integral with simple linear/polynomial substitution |
| Difficulty | Moderate -0.3 This is a straightforward integration by substitution question requiring a simple u-substitution (u = 1+4x) followed by integrating a power and evaluating definite limits. It's slightly easier than average because the substitution is obvious, the algebra is clean, and it's a single-technique problem worth 5 marks with no conceptual challenges. |
| Spec | 1.08h Integration by substitution |
Find the exact value of $\int_0^2 \sqrt{1+4x} \, dx$, showing your working. [5]
\hfill \mbox{\textit{OCR MEI C3 Q1 [5]}}