Mathematics - Continuity - Differentiability Question with Solution | TestHub

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