How to play Youtube video in Android custom layout?

Question

I need to play a Youtube video in an Android app. I can play Youtube video using the following code:

startActivity(new Intent(Intent.ACTION_VIEW, Uri.parse("http://www.youtube.com/watch?v=cxLG2wtE7TM"))); 

This leaves my application and launches a youtube mobile where I can not control.

How can I play Youtube videos in my activity? Some blogs have suggested using HTML5 video to achieve this.