| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Topic | Indefinite & Definite Integrals |
| Type | Integration with algebraic manipulation |
| Difficulty | Moderate -0.8 This is a straightforward C1 question requiring basic binomial expansion (with only the middle term needing calculation) and then direct integration of polynomial terms. The algebraic manipulation is routine and the integration follows standard power rules with no problem-solving insight required, making it easier than average but not trivial. |
| Spec | 1.02b Surds: manipulation and rationalising denominators1.08b Integrate x^n: where n != -1 and sums |
\begin{enumerate}[label=(\alph*)]
\item Show that $(4 + 3\sqrt{x})^3$ can be written as $16 + k\sqrt{x} + 9x$, where $k$ is a constant to be found. [2]
\item Find $\int (4 + 3\sqrt{x})^3 \, dx$. [3]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C1 Q6 [5]}}