| Exam Board | OCR MEI |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Year | 2009 |
| Session | January |
| 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 with a simple linear expression under the square root. The substitution u = 1 + 4x is obvious, the limits transform easily, and the resulting integral ∫√u du is standard. While it requires proper technique and care with the factor of 4, it's slightly easier than average as it's a single-step method application with no conceptual challenges. |
| Spec | 1.08h Integration by substitution |
4 Find the exact value of $\int _ { 0 } ^ { 2 } \sqrt { 1 + 4 x } \mathrm {~d} x$, showing your working.
\hfill \mbox{\textit{OCR MEI C3 2009 Q4 [5]}}