Limits Continuity And Differentiability

Let [t] denote the greatest integer \(\le\) t. The number of points where the function \(f(x) = [x]\left| {{x^2} - 1} \right| + \sin \left( {{\pi \over {[x] + 3}}} \right) - [x + 1],x \in ( - 2,2)\) is not continuous is _____________.