My laptop is worse than your desktop and it runs the game at 60 FPS.
Download the latest MSI Afterburner BETA
and install it. Works with a video card of any model, not just MSI. You can download non-beta as well but it doesn't record sound (at least last time I used it).
Install the program and open it. Ignore the overclocking options, instead go to SETTINGS, open VIDEO CAPTURE, put video capture to a desired hotkey (one that does not conflict with other hotkeys). Set video format MJPG and use ~70-80% quality*. Put the framerate to 30 FPS, youtube doesn't accept more anyway.
*The quality means how good a picture you'll record. Leave it as high as you can, but don't put it too high or then your HDD simply can't capture all video and then the video becomes a slideshow.
Watch the video you just recorded and see if it shows the program you had. Upload the video to youtube, and put the link here.