For those who don't want to install software, Camtasia Online is a completely free browser-based recorder. It requires no credit card and allows you to record your screen, webcam, and microphone directly in Chrome or Safari.
Camtasia Free Download: Recording and Editing Without the Cost free download camtasia recorder
While Camtasia is a paid professional suite, you can legally use its recording capabilities through these official channels: For those who don't want to install software,