As of my last update in April 2023, Schoology, a Learning Management System (LMS), and Repticity, presumably a fictional or less well-known tool as there are no available records of it, cannot be described in terms of integration, enhancements to efficiency, or user experience improvements due to the lack of information on Repticity. Typically, integrations between an LMS like Schoology and other educational tools would aim to streamline course management, assessment delivery, and communication between students and teachers, enhancing both efficiency and the user experience. These integrations often allow for single sign-on, grade synchronization, and the sharing of resources directly within the LMS environment. However, without specific details on Repticity, providing a factual and concise description of its integration with Schoology is not feasible.