A2 October 2020 Paper 1 Q1
1 Find the mean value of \(\mathrm{f}(x) = x^2 + 6x\) over the interval \([0, 3]\). [2]
| Scheme | Marks | AO |
|---|---|---|
| Mean value \(= \dfrac{1}{3}\displaystyle\int_0^3 \mathrm{f}(x)\,\mathrm{d}x\) | M1 | 1.1 |
| \(= \dfrac{1}{3}\displaystyle\int_0^3 x^2 + 6x\,\mathrm{d}x = 12\) | A1 | 1.1 |
| [2] |
Notes
M1: Use the correct formula
A1: BC