Suppose that X is a continuous random variable with probability density function given by:

f(x) = \(\left\{ {\begin{array}{*{20}{c}} {\frac{x}{8},}&{x \in \left[ {0,2} \right)}\\ {\frac{1}{4},}&{x \in \left[ {2,4} \right)}\\ { - \frac{x}{8} + \frac{3}{4},}&{x \in \left[ {4,6} \right)} \end{array}}\right.\)

Find the mean of X.