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Sketch the graph of $ f(x) = \left\{ \begin{array}{l l}|x-2|+2, & \quad { x \leq 2} \\ x^2-2, & \quad { x > 2} \end{array} \right. $ Evaluate \( \int_0^4 f(x) dx \) What does the value of this integral represent on the graph?

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