| Exam Board | OCR |
|---|---|
| Module | H240/02 (Pure Mathematics and Statistics) |
| Year | 2023 |
| Session | June |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Topic | Areas by integration |
| Type | Area with logarithmic functions |
| Difficulty | Moderate -0.8 This is a straightforward integration question requiring students to set up and evaluate a definite integral of a simple rational function. The integration is standard (ln|x+2|), bounds are given explicitly, and the only mild challenge is handling the exact form with ln(4.5) = ln(9/2). This is easier than average as it's purely procedural with no problem-solving or conceptual hurdles. |
| Spec | 1.08c Integrate e^(kx), 1/x, sin(kx), cos(kx)1.08e Area between curve and x-axis: using definite integrals |
In this question you must show detailed reasoning.
Find the exact area of the region enclosed by the curve $y = \frac{1}{x+2}$, the two axes and the line $x = 2.5$. [3]
\hfill \mbox{\textit{OCR H240/02 2023 Q3 [3]}}