Only 40+10??? That's not over due!!
Overdue is 43 weeks, there is no reason to induce just because you are 10 days past your EDD. Just remember that EDD stands for Estimated Due Date, not Exact. Due dates are not an exact science, and if your baby hasn't decided to come yet it means it's not ready to. I wouldn't even consider a sweep until I was 14 days past my EDD, and then only if baby was engaged and cervix was beginning to soften and efface.
There are risks connected to induction, it's not a simple "safe" procedure. You are more likely to need serious pain relief, which will effect your baby, you will almost certainly have to deliver on your back (probably in stirrups) which will restrict the blood supply to your baby, which in turn will send him/her into distress, so you are much more likely to have an instrumental delivery, at the least a ventouse, if not forceps, which will involve an episiotomy and all these things can stack up and snowball and result in a c-section. All these things are not fun, and if you are only being induced because you are just 10 days over due and for no other medical reason then I strongly urge you to ask to be monitored until you are 42 weeks if not 43, to check that your placenta is functioning well, and that baby is happy if a little cramped!
Ask your MW/Consultant to discuss the risks of induction with you and consider waiting another week. I know you are uncomortable now, but a week is only a few days, and you may go into labour naturally in the mean time.
Monkies