Anytime a YouTube video is played on a computer, a link to the video is left in the history section of the Internet browser. Whenever you want, you can delete this Internet history. This deletes all of the links, leaving no trace of the YouTube videos in your Internet browser.
Click the "Start" orb and begin typing in the words "Internet Explorer." Click on the "Internet Explorer" result.
Click the gear-like "Tools" button, highlight "Safety" and click "Delete browsing history."
Check the "History" box.