How do I find the mean of this problem?

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$$ F(x) = \begin{cases} 0,\quad x < 1 \\ \frac{x^2-x}{2}\quad1 \leq x \leq 2 \\ 1, \quad x > 2 \end{cases} $$

How would I find the mean in this problem? Can somebody help me get started? Thank you

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Hint: Note that $$F'(x) = \begin{cases} 0,\quad x < 1 \\ \frac{2x-1}{2}\quad1 < x < 2 \\ 0, \quad x > 2 \end{cases}$$