I'm not sure that's what I would call an integration... AWS provides for easy host management and elastic scaling traditionally through the integration of the ELB with autoscale groups, and now with life-cycle hooks. I'm not aware that kubernetes integrates with this stuff in any way or provides a sufficient alternative. Reading through the documentation I was not able to find information about connection draining on rolling updates, taking hosts out of service for maintenance/scaling/replacement, and so on. I am aware that kubernetes will run on AWS now and there is a guide for setting it up.
However this really wasn't the point of my comment, which is that security for application secrets(and AWS API access) is currently a sore spot. It would be nice if kubernetes would adopt some of hashicorps stuff like consul, templates, and vault. Maybe that's too far up the container stack though and a popular bundling of technologies will appear.
Other than that, Kubernetes works on AWS out of the box, with a one line setup.
Full disclosure: I work at Google, on Kubernetes.