I noticed that the exported flash file is looping by default. However I cannot see the option "without looping" when export to flash file. How can I export flash file without looping effect?
For control of looping within the file you need to import the swf file into Flash and put a stop(); command in the final frame of the timeline. In a browser, you can control playback with the EMBED commands.
You can't have everything. Where would you put it?
This is correct. SWFs automatically loop unless specifically told not to by a bit of code either inside the SWF or in an HTML page the SWF is embedded into. Anime Studio would need to have the option to insert the stop(); command in the last frame of the SWF, and it doesn't have that.