| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indefinite & Definite Integrals |
| Type | Integration with algebraic manipulation |
| Difficulty | Moderate -0.8 Part (a) is a straightforward binomial expansion requiring basic algebra. Part (b) involves integrating the expanded form using standard power rules for x^(1/2) and constants, then substituting limits and simplifying to the required form. This is a routine C2 integration question with clear scaffolding, requiring only standard techniques without problem-solving insight. |
| Spec | 1.02b Surds: manipulation and rationalising denominators1.08b Integrate x^n: where n != -1 and sums |
\begin{enumerate}[label=(\alph*)]
\item Expand $(2\sqrt{x} + 3)^2$. [2]
\item Hence evaluate $\int_1^2 (2\sqrt{x} + 3)^2 \, dx$, giving your answer in the form $a + b\sqrt{2}$, where $a$ and $b$ are integers. [5]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 Q2 [7]}}