| Exam Board | SPS |
|---|---|
| Module | SPS SM Pure (SPS SM Pure) |
| Year | 2024 |
| Session | February |
| Marks | 3 |
| Topic | Standard Integrals and Reverse Chain Rule |
| Type | Find indefinite integral of polynomial/power |
| Difficulty | Easy -1.3 This is a straightforward integration of polynomial terms requiring only basic power rule application. Students need to rewrite √x as x^(1/2), apply the power rule to each term, and add the constant. No problem-solving or conceptual insight required—purely mechanical application of a fundamental technique. |
| Spec | 1.08b Integrate x^n: where n != -1 and sums |
1.
Find $\int \left( 2 x ^ { 4 } - x \sqrt { x } \right) \mathrm { d } x$.\\
\hfill \mbox{\textit{SPS SPS SM Pure 2024 Q1 [3]}}