I’ve used Blackboard, Moodle and eCollege and none of them offer integration with Google Apps in the way you frame it.
We have a custom single sign-on that provides access to both Google Apps and the LMS but the Google Apps (for example Docs) do not work within the LMS (users are redirected outside the LMS).
You can learn about LMS Google on this page. But if you really know about the advantages and disadvantages of outsourced customer service. So you deserve customer service. You want to collect information about it. Then I recommend you to use this website https://www.logicsofts.co.uk/blog/advantages-and-disadvantages-of-outsourced-customer-service/ for advantages and disadvantages of outsourced-customer-service Am. You can check this website. Here you will get information about it. which you can read.
Yes, you can Integrate LMS to Google App, and one very good option for such LMS is Paradiso LMS. Leverage and share work files, documents and online training content across Google Apps with Paradiso Learning Management System. Some of its features are:
1. Google Apps LMS Single Sign-On
2. Enhanced Collaboration with Google Apps LMS Integration
3. Importing Files into LMS from Google Apps
4. User Auto-Enrollment