| Exam Board | OCR |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Integration by Substitution |
| Type | Square root substitution: indefinite integral |
| Difficulty | Standard +0.3 This is a straightforward substitution question where the substitution is explicitly given. Students need to find du/dx, rearrange to express dx in terms of du, substitute to get a simple integral (likely resulting in a polynomial), integrate, and substitute back. While it requires careful algebraic manipulation with the square root, it's a standard C4 technique with no conceptual surprises, making it slightly easier than average. |
| Spec | 1.08h Integration by substitution |
\begin{enumerate}
\item Use the substitution $u = 1 - x ^ { \frac { 1 } { 2 } }$ to find
\end{enumerate}
$$\int \frac { 1 } { 1 - x ^ { \frac { 1 } { 2 } } } \mathrm {~d} x$$
\hfill \mbox{\textit{OCR C4 Q2 [6]}}