A2 June 2024 Paper 1 Q3

3 The function \(\mathrm{f}\) is defined by

\[\mathrm{f}(x) = x^2 \qquad (x \in \mathbb{R})\]

Find the mean value of \(\mathrm{f}(x)\) between \(x = 0\) and \(x = 2\)

Circle your answer. [1 mark]

• \(\dfrac{2}{3}\)
• \(\dfrac{4}{3}\)
• \(\dfrac{8}{3}\)
• \(\dfrac{16}{3}\)