Op-amp Integrator Considerations
An integrator acts as a low pass filter. 

You will want to degrade the integration at lower frequencies than your fundamental because otherwise the integrator will eventually saturate from integrating even a slight offset voltage. Typically something like a resistor across the integrating capacitor, at a minimum, but you can use more sophisticated circuits to control the low-frequency roll-off. 

Here is a TI app note describing the simple approach.