> b) that by not separating the definition of an integral from its evaluation, you're not able to manipulate it directly as an expression or to evaluate it via

> b) that by not separating the definition of an integral from its evaluation, you're not able to manipulate it directly as an expression or to evaluate it via different methods (e.g. symbolic vs. numerical methods). I was mostly referring to this. Mathematica is simply my only experience with this kind of approach.