Compensation: The process of overcoming the problems associated with frequencies in an amplifier.
Compensate for input parasitic Capacitance
A small capacitor [Cf] across the feedback resistor will compensate for parasitic capacitance at the (inverting) input of the Op-Amp. Normally 3pF to 10pF will compensate. This is true for Inverting, Non-Inverting, or Voltage Follower configurations. The capacitor also functions to reduce gain at higher frequencies.

A feed back pole is created when the feedback around any amplifier is resistive. The parallel resistance and capacitance from the input of the device (usually the inverting input) to AC ground set the frequency of the pole. In many cases the frequency of the pole is much greater than the 3dB frequency of the closed loop gain ~ there is negligible effect on the stability margin.
How ever, if the feed back pole is less than approximately six times the expected 3dB frequency, a 'lead' capacitor should be placed from the output to the input of the Op-Amp.

The value of the added capacitor should be such that the RC time constant of this capacitor and resistor it parallels is greater than or equal to the original feed back pole time constant.

Compensate for driving a large capacitive load
Add a resistor in series with the output terminal of the Op-Amp, between the output and the feed-back resistor. Make the resistor around the same value as the output impedance of the Op-Amp.
In addition, a by-pass capacitor may be added directly between the input and output terminals.

Compensate for PWB Layout
Resistors from the output to the input should be placed with the body close to the input to minimize "pick-up" and maximize the frequency of the feed back pole by minimizing the capacitance from the input to ground. To control leakage currents in ultra-low current applications run a guard trace around the (high impedance) input pins and connecting it to a low impedance source (at the same level).
The guard trace should be added to both sides of the PWB. Unused op-amps in dual and quad packs should be terminated by grounding the + input and connecting the - input to the output.

Additional data related to Op-Amps;

Op-Amp Circuits
Manufacturers List Operational Amplifier ICs
Offset Null Adjustment circuits.