DC input on op amp integrator
The problem is with the solver, it's finding the wrong DC operating point. The solver first tries to find the point that the circuit is operating at, then runs the simulation. In the case of this integrator, it's wrong. So you either need to set initial conditions on the capacitor OR force the solver to recognize that the voltage is zero.  One way to do this is with a PWL supply, starting it at zero, then at 1us or shortly after the simulation starts, then move the supply to 2V.