Exporting Camtasia Studio videos is pretty simple. For this you will need Quick Time Player(Download)
1.Once you have created your video and want to save and edit, make sure to set the dimensions to 1920 by 1080. (if it changes the numbers for you then un-check the keep aspect ratio) If you somehow have black bars around your video then in the Zom-in-Pan tab in Camtasia Studio right click on the that screen and click Snap to Video Edges
2.Then click Produce and Share and click on the arrow and choose Add/Edit presets.
3.Choose New Preset and in the Preset Name box type in the name of the preset and choose MOV as the file format.
4.Click Next and Choose Quicktime Options. There Pick Settings and here is how your setting are suppose to look like.
5.Choose OK and Now Click Size. There Choose 1920 by 1080HD.
6.Click OK and then OK again to return to the first window. Click Next and type in 1920 by 1080.
7.And Finally click Next until you get to the production presets. Close the Production presets and now choose your preset that you have created and choose where to save it and the it will do the rest for you.