Stop lying yes you were, if you were not hacking/modding you were probably duping or using known exploits
Battleye does not ban people for using fraps or overlays or anything like that...
http://www.battleye.com/support.html
I literally just goggled it and came up with your exact question
http://blogs.it.ox.ac.uk/adamweblearn/2013/10/how-to-compress-large-video-files-without-losing-quality-using-handbrake/