| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Topic | Indefinite & Definite Integrals |
| Type | Improper integral evaluation |
| Difficulty | Moderate -0.3 This is a straightforward C2 integration question requiring recognition that 1/√x = x^(-1/2), integration using the power rule to get 2√x, and evaluation at limits 0 and 1. The final step of expressing 2(1-0) = 2 in the form a + b√2 (giving 2 + 0√2) is trivial. Slightly easier than average due to being a single-technique application with no complications. |
| Spec | 1.08b Integrate x^n: where n != -1 and sums |
Evaluate $\int_0^1 \frac{1}{\sqrt{x}} \, dx$, giving your answer in the form $a + b\sqrt{2}$, where $a$ and $b$ are integers.
[4]
\hfill \mbox{\textit{Edexcel C2 Q1 [4]}}