| Exam Board | OCR |
|---|---|
| Module | H240/02 (Pure Mathematics and Statistics) |
| Year | 2018 |
| Session | December |
| Marks | 4 |
| Topic | Areas by integration |
| Type | Area under curve with fractional/negative powers or roots |
| Difficulty | Standard +0.3 This is a straightforward integration question requiring students to find limits from a diagram (x=3 to x=12), set up ∫√(x-3)dx, use standard power rule integration with substitution or direct integration, and evaluate. It's slightly easier than average as it's a routine single-method question with a standard function type, though the exact answer requirement and substitution add minor complexity. |
| Spec | 1.08d Evaluate definite integrals: between limits1.08e Area between curve and x-axis: using definite integrals |
\includegraphics{figure_1}
The diagram shows the curve $y = \sqrt{x - 3}$. The shaded region is bounded by the curve and the two axes.
Find the exact area of the shaded region. [4]
\hfill \mbox{\textit{OCR H240/02 2018 Q1 [4]}}