Serious regression in Integrate in 11.1.1? Division by zero generated

Obviously, this is a bug. It actually dates to 11.1.0. I checked with the relevant developer. We have a fix in our internal development build, and we'll try to get it into the next release.

This is one of those funny cases where a bugfix elsewhere caused a slightly different path to be traversed inside Integrate, and that path was missing a check for division by zero.

fyi; This bug is now fixed in 11.2. Thank you WRI