Let $$f : R \to R$$ be a function defined by:
$$f(x) = \begin{cases} \max\{t^3 - 3t\}; & t \leq x, \quad x \leq 2 \\ x^2 + 2x - 6; & 2 < x < 3 \\ [x-3] + 9; & 3 \leq x \leq 5 \\ 2x + 1; & x > 5 \end{cases}$$
Where $$[t]$$ is the greatest integer less than or equal to $$t$$. Let $$m$$ be the number of points where $$f$$ is not differentiable and $$I = \int_{-2}^{2} f(x) dx$$. Then the ordered pair $$(m, I)$$ is equal to