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In industry standard dual slope circuits, integrator and comparator offset voltage are eliminated, that's why these circuits achieve good performance with standard CMOS technology. Insufficient integrator gain however causes a linearity error due to deviation from ideal ramp waveform. Comparator response time causes a magnitude offset.I think the most important spec for your opamp and comparator will be offset voltage. There's not really a 'gain' for the integrator, there's a volts/sec constant, and that's going to depend on your requirements.