I have seen two different designs for a low-pass filter:
1) A resistor and capacitor in parallel in the feedback loop, combined with an input resistor on the - input, + tied to ground.
2) An input resistor, followed by a capacitor shunt into the positive terminal, and a voltage divider to ground for the feedback loop.
Obviously #1 is inverting and #2 is non-inverting, but what are the other trade-offs when deciding which to use in general?
Schematic for a visual aid: