| 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 with surds. Part (b) is a routine integration after expansion, involving standard power rule for x^(1/2), x^0, and x^1, then substituting limits and simplifying to the required form. This is a standard C2 technique question with no problem-solving insight required, making it easier than average. |
| Spec | 1.02b Surds: manipulation and rationalising denominators1.08b Integrate x^n: where n != -1 and sums |
\begin{enumerate}[label=(\alph*)]
\item Expand (2√x + 3)². [2]
\item Hence evaluate $$\int_1^{2^2} (2\sqrt{x} + 3)^2 \, dx$$, giving your answer in the form a + b√2, where a and b are integers. [5]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 Q3 [7]}}