I distrust the microphone more than I do the camera. They can gather a LOT more information using the microphone. When I got my computer, I opened it up and physically disconnected both the camera and microphone. Now, when I need to be on a video conference, I use a webcam to plug in to my USB. Otherwise, all that is off by physical impossibility.
Tape will work. But if you are opening up a laptop anyway, you might as well just do a physical disconnect and plan on relying on a webcam when needed.