Back in the palmy days, I once managed to make an integrator oscillate--huge Cf, small Rin, and an op amp with a big Rout.
Apart from tyro's mistakes like that, though, why would anyone need to simulate an integrator? A tiny bit of algebra will tell you all you need to know about it, over all relevant operating conditions--that one small formula has as much information as a year's worth of simulations.
Cheers
Phil Hobbs