$f (x) = {\cos}^{-1} \sqrt{ {\sin}^{-1} \left[\sec \left( \ln \left(\dfrac{2x^2 + 3x -2}{x^2 - 3x + 2} \right)\right) \right]}$ Find the range of the above function.

Enter your answer as $( \Sigma {{\alpha}_{i}}^{2}) + 1$ where ${\alpha}_{i}$ represents the integers in the set of range.

If there are no integers in the range of $f (x)$ then enter your answer as 0.