Definite integration yields a strange answer. (Solved)

[pwarmuth]

I'm getting away from the point, this is not meant to be a discussion about pedagogy. The point is that there are two ways to solve the problem. One involves the complex plane and the other does not. The CAS has an option as to whether or not I want the calculator to return a complex answer, and then ignores that setting altogether when I use fractional exponents. This however does not apply to other areas of the CAS. For instance when factoring (x^2 + 4) . The complete answer is to include the complex parts (x + 2i)(x - 2i), but the calculator will do what I asked it to do and return it unfactored if I have the option to include i deselected. Why is that behavior not consistent throughout the CAS?