| Exam Board | OCR |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Binomial Theorem (positive integer n) |
| Type | Direct binomial expansion then integrate |
| Difficulty | Moderate -0.8 This is a straightforward C2 binomial expansion question requiring routine application of the binomial theorem for n=3 (which can be done by Pascal's triangle or direct multiplication), followed by term-by-term integration of simple powers. Both parts are standard textbook exercises with no problem-solving or insight required, making it easier than average. |
| Spec | 1.04a Binomial expansion: (a+b)^n for positive integer n1.08b Integrate x^n: where n != -1 and sums |
\begin{enumerate}[label=(\roman*)]
\item Find the binomial expansion of $\left(x^2 + \frac{1}{x}\right)^3$, simplifying the terms. [4]
\item Hence find $\int \left(x^2 + \frac{1}{x}\right)^3 dx$. [4]
\end{enumerate}
\hfill \mbox{\textit{OCR C2 Q6 [8]}}