| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indefinite & Definite Integrals |
| Type | Basic indefinite integration |
| Difficulty | Easy -1.2 This is a straightforward C1 integration question requiring only direct application of the power rule to two terms. It involves routine manipulation (rewriting 1/2x² as (1/2)x⁻²) and standard integration formulas with no problem-solving or conceptual challenge beyond basic recall. |
| Spec | 1.08b Integrate x^n: where n != -1 and sums |
| Answer | Marks | Guidance |
|---|---|---|
| \(\int (3x^2 + \frac{1}{4}x^{-2}) \, dx\) | B1 | |
| \(= x^3 - \frac{1}{2}x^{-1} + c\) | M1 A2 | (4) |
$\int (3x^2 + \frac{1}{4}x^{-2}) \, dx$ | B1 |
$= x^3 - \frac{1}{2}x^{-1} + c$ | M1 A2 | (4)Find
$$\int \left( 3x^2 + \frac{1}{2x^2} \right) dx.$$ [4]
\hfill \mbox{\textit{Edexcel C1 Q2 [4]}}