| Exam Board | WJEC |
|---|---|
| Module | Unit 1 (Unit 1) |
| Year | 2019 |
| Session | June |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Areas by integration |
| Type | Combined region areas |
| Difficulty | Standard +0.8 This question requires finding the area between a cubic curve and the x-axis across two separate regions, necessitating identification of roots, setting up two definite integrals with appropriate sign handling (absolute values), expanding the cubic, integrating a polynomial, and careful arithmetic. While the techniques are standard A-level content, the multi-step nature, need for sign awareness, and computational demand make it moderately above average difficulty. |
| Spec | 1.08e Area between curve and x-axis: using definite integrals |
The diagram below shows a curve with equation $y = (x + 2)(x - 2)(x + 1)$.
\includegraphics{figure_16}
Calculate the total area of the two shaded regions. [8]
\hfill \mbox{\textit{WJEC Unit 1 2019 Q16 [8]}}