Sharepoint also lets you use "Report viewer" and "Report list" webparts directly in a page setup. I prefer these to using integrated mode because it is so much simpler. If you don't have them on your sharepoint you might need to install them from the sharepoint designer.

It lets you then embed a report directly in a sharepoint page by just giving the report part some settings such as the report manager URL and the report folder/name.

Permissions on the sharepoint page still apply, as well as permissions in SSRS report manager.