In this video, I go over the embed a dashboard sample and walk you through how to actually embed a dashboard into your application. This uses a combination of the Power BI REST APIs and the JavaScript API.

Embed Dashboards in Your Applications to Monitor Your Business in Context (Blog)
Power BI – Integrate a dashboard into an app (Offical Documentation)
Power BI Developer Samples (GitHub)
Power BI .NET SDK (GitHub)
Power BI JavaScript library (GitHub)
Power BI REST API via APIARY
JavaScript embed sample