| Exam Board | OCR |
|---|---|
| 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 | Standard +0.3 This is a straightforward C3 integration by substitution question requiring the standard substitution u = 2x - 3, adjusting limits, and integrating u^(-1/3). It's slightly easier than average because it's a single-step substitution with no algebraic complications, though changing limits adds minor complexity. |
| Spec | 1.08h Integration by substitution |
\begin{enumerate}
\item Evaluate
\end{enumerate}
$$\int _ { 2 } ^ { 15 } \frac { 1 } { \sqrt [ 3 ] { 2 x - 3 } } d x$$
\hfill \mbox{\textit{OCR C3 Q1 [5]}}