Idle and vibration issue

#1
Hi,

I recently bought a used 2010 Toyota Corolla s with around 79000 miles on it. It's an automatic and everything drives good but just one thing that has been annoying me. The problem is that when I come to a complete stop and stop there for a a while, the idle slowly drops from 650 to 600. When this happens the car engine starts to vibrate excessively and you could feel it on your feet and steering wheel. When I turn a load on, the rpm rises and the vibration goes away.
I have cleaned the throttle body, checked the mounts and it's good, no cracks, cleaned MAF sensor, reset the idle by unplugging battery, took it in to the dealership and they said it is normal. I believe it's not normal.
I have read other forums but still nothing has worked for me.
Help please! Thank you!
 
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