| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 9 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Areas Between Curves |
| Type | Curve with Horizontal Line |
| Difficulty | Standard +0.3 This is a standard C2 integration question requiring solving a quadratic equation to find intersection points, then using definite integration to find the area between a curve and line. The quadratic is straightforward, and the integration involves only basic polynomial terms. While it requires multiple steps and careful setup, it follows a well-practiced textbook pattern with no conceptual challenges, making it slightly easier than average. |
| Spec | 1.08e Area between curve and x-axis: using definite integrals |
\includegraphics{figure_2}
Figure 1 shows the curve with equation $y = 5 + 2x - x^2$ and the line with equation $y = 2$. The curve and the line intersect at the points A and B.
\begin{enumerate}[label=(\alph*)]
\item Find the x-coordinates of A and B. [3]
\end{enumerate}
The shaded region R is bounded by the curve and the line.
\begin{enumerate}[label=(\alph*)]
\setcounter{enumi}{1}
\item Find the area of R. [6]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 Q6 [9]}}