| Exam Board | OCR MEI |
|---|---|
| Module | AS Paper 1 (AS Paper 1) |
| Year | 2018 |
| Session | June |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Areas by integration |
| Type | Area under polynomial curve |
| Difficulty | Moderate -0.8 This is a straightforward area calculation requiring students to form a quadratic from given roots, integrate it between the roots, and take the absolute value. It's a standard textbook exercise with clear boundaries and no conceptual challenges beyond basic integration technique, making it easier than average for A-level. |
| Spec | 1.08e Area between curve and x-axis: using definite integrals |
I don't see any actual mark scheme content to clean up in your message. You've provided a question header ("Question 8") and page continuation notes, but no marking points, criteria, or guidance.
Please provide the actual mark scheme content you'd like me to clean up, including:
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Once you share that content, I'll format it with unicode-to-LaTeX conversions and clear formatting.8 In this question you must show detailed reasoning.
Fig. 8 shows the graph of a quadratic function. The graph crosses the axes at the points $( - 1,0 ) , ( 0 , - 4 )$ and $( 2,0 )$.
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{1513048a-d53b-4b85-82f4-c86e0d81f8f8-4_689_606_1114_731}
\captionsetup{labelformat=empty}
\caption{Fig. 8}
\end{center}
\end{figure}
Find the area of the finite region bounded by the curve and the $x$-axis.
\hfill \mbox{\textit{OCR MEI AS Paper 1 2018 Q8 [8]}}