There are dozens of free Chrome and Firefox extensions designed for video capturing.
If the intent is to record your own webcam (not to find someone else’s recordings), these safe, free options are commonly used: exmairu01 webcam recording free
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Exmairu01 delivers clean, high-quality webcam recording without asking for your credit card. Just launch, select your camera, hit record, and you’re done. There are dozens of free Chrome and Firefox