| Exam Board | SPS |
|---|---|
| Module | SPS FM Pure (SPS FM Pure) |
| Year | 2024 |
| Session | February |
| Marks | 2 |
| Topic | Integration with Partial Fractions |
| Type | Basic partial fractions then integrate |
| Difficulty | Easy -1.2 This is a straightforward application of the mean value formula for a function over an interval, requiring only integration of a simple polynomial and division by the interval length. The integration is routine (basic power rule) and the question is worth only 2 marks, indicating minimal steps and no problem-solving insight required. |
| Spec | 4.08e Mean value of function: using integral |
Find the mean value of $f(x) = x^2 + 6x$ over the interval $[0, 3]$. [2]
\hfill \mbox{\textit{SPS SPS FM Pure 2024 Q2 [2]}}