how a symmetric power supply works
1. You can use rail-to-rail OP that have an input voltage range including the supplies and output voltages near to supply.
2. There are single supply variants of most basic circuits, some with serious disadvantages compared to usual dual supply.
I suggest to check the possible in- and output voltage ranges for each circuit yourself. If you have e. g. an inverting amplifier, it would clearly need a virtual ground at mid-voltage, how should it be able to invert an input voltage otherwise? The same with usual inverting differentiator or integrator. A voltage follower in contrast can work almost rail-to-rail.
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