| Exam Board | OCR |
|---|---|
| Module | PURE |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Topic | Areas by integration |
| Type | Area under polynomial curve |
| Difficulty | Standard +0.3 This is a straightforward integration problem requiring students to find roots, set up two integrals with correct limits (due to the curve crossing the x-axis), and apply symmetry or calculate both areas. While it involves multiple steps and careful attention to absolute values, it's a standard textbook exercise testing routine integration skills with no novel insight required. |
| Spec | 1.08d Evaluate definite integrals: between limits1.08e Area between curve and x-axis: using definite integrals |
In this question you must show detailed reasoning.
The diagram shows part of the graph of $y = x^3 - 4x$.
\includegraphics{figure_3}
Determine the total area enclosed by the curve and the $x$-axis. [6]
\hfill \mbox{\textit{OCR PURE Q5 [6]}}