With my first they scheduled my induction at 41 weeks and with my second (it was a different hospital) scheduled my induction at 42 weeks. I carried to my induction date both times. If you do go to 42 weeks they will monitor baby twice a week (at least that's how it was for me).
I'm getting induced today at 41 weeks, it all depends on how the baby is doing. My baby isn't moving as much as he usually does but his heartbeat is strong. I went in yesterday to my regular checkup and got sent to the hospital asap. They monitored his heart beat and movement and he did great. They called me once I got him after talking to my OB and they scheduled it.