CamStudio is intended to record your computer screen for applications like demonstrating software. Some graphics systems play videos in an isolated window that may not be visible to CamStudio. Assuming you have the right Codecs and an up-to-date version of Flash, that would be my first concern.
If you're trying to download video from UTube, google: "UTube Downloader."
If it's a streaming video like NetFlix, there has been an ongoing war between NetFlix and hackers and, at this point NetFlix is winning. It's a copyright issue.