Even if you want a natural birth, if it doesnt go the way we want it, you might end up with emergency C sect. I was induce at 41 weeks for my first child. I am 3cm dilated with waterbag full and no signs of contractions. I ended with assisted delivery (vacuum) as baby's heartbeat drop and with jab in the thigh, gas, epidural. I did request till 42 weeks but they cant due to baby's huge and to avoid other complications or ending my birth in OT. You can try to stretch till 41 weeks, but if still no sign then you have to be induce. It can be much more painful then natural birth, sometimes we have to decide what's the best for us and baby esp safety.