Let f : R → R be defined by \(\rm f(x)=\left\{\begin{matrix} \rm x+2 &\rm if\ x<0 \\ \rm |x-2| &\rm if \ x\geq0 \end{matrix}\right.\). Find \(\rm \int_{-2}^{\ \ 3} f(x)\ dx\).

1
0.5
2
2.5
3
4.5
4
6.5

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