I use RSpec to test my lovely little web app. For integration tests I use Steak. When using Rails generators (yep, I know that this is not the Zen way of doing TDD) there are also some files in spec/requests generated. As stated on link text it is something similiar to integration test (but I couldn't find much more info).
Are those request specs still recommended when using something like Steak and Cucumber?
It all depends on what you need and want. The goal of testing is to prove that your app works once, not twice or more times.
I personally write rspec tests for models and helpers. I use cucumber to test that my views and controllers are working the way I expect them to. With this I can prove that my entire app works as I expect it to, so no, I don't use spec/requests.
Occasionally I do use spec/requests to test APIs, but you can do that with cucumber as well.
Some don't like the BDD-way cucumber works and stick with spec/requests. In the end it's all a matter of taste.