You can use platform-tools and record video using:
adb shell screenrecord --verbose /sdcard/demo.mp4
Replace Demo with whatever file name you want.
Also this will be placed on your phone, and defaults to 6 minutes I believe.
Check out the options of screen record.
To pull the file to your computer.... (the following command, or use Android Device Monitor
adb pull /sdcard/demo.mp4
I have used this to record demo's of apps, and even played youtube, and had it record that.
It does not have audio, so that may be a major problem.
But this is included in the sdk, and records any screen showing while it is recording.