integrating op-amp questions
I think it is a comparator. It would be a differential integrator if both resistors were fed to a different voltage source. It is a comparator that ramps to 0 or Vcc depending on the relative difference between Vref and Vrange. The ramp rate is determined by R1 and C1.
So if:
Vrange < Vref
The output will ramp from Vrange to 0
If: Vrange > Vref,
The output will ramp from Vrange to Vcc.
The circuits ramps up or ramps down, but it does not integrate as the classical integrator.