Yes, you can send in a sine wave to the PSoC3 - its inputs are perfectly capable to handle AC inputs (up to several MHz, depending on the voltage levels). But you cannot go below ground or above Vdda with your signal - but your proposed signal would be fine even with 3.3V Vdda.
I think there is no internal integrator, but you should be able to build one by yourself using the inernal OpAmps and some external capacitors / resistors. Or you go experimental and digitize the signal and feed it into the digital filter...
Always examine data sheets to see if you are working withg R-R Inputs
and outputs, otherwise limited CM range will limit pk-pk swings.
To offset signals into PSOC you can ac couple to a simple divider that
supplies the offset to the input. Or you can use the following which eliminates
couplig cap, just uses two R's -
Excel spreadsheet to calc values attached.
For PWM integrator, a simple RC network offten surfices. This ap note discusses tradeoff of
settling time and ripple in the RC filter.
121232.xls 12.0 K