| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Standard Integrals and Reverse Chain Rule |
| Type | Find indefinite integral of polynomial/power |
| 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 √x as x^{1/2}) and basic integration formulas with no problem-solving or conceptual challenge beyond remembering standard rules. |
| Spec | 1.08b Integrate x^n: where n != -1 and sums |
| Answer | Marks | Guidance |
|---|---|---|
| \(\int = \frac{3}{4}x^3 - \frac{3}{4}x^{\frac{1}{4}} + c\) | M1 A2 | (3) |
$\int = \frac{3}{4}x^3 - \frac{3}{4}x^{\frac{1}{4}} + c$ | M1 A2 | (3)
2. Find
$$\int \left( 4 x ^ { 2 } - \sqrt { x } \right) \mathrm { d } x$$
\hfill \mbox{\textit{Edexcel C1 Q2 [3]}}