Honestly, I'd recommend to stop using that task manager to kill your apps. As someone else said in the beginning of this thread, some are meant to stay on and will continuously reload which crushes your battery more (you're killing it and causing it to restart itself every time). I don't expect this to magically solve your problem, but it's just something I noticed someone mentioned earlier, and your replies seem to still hint at the fact that you're still killing the apps that come with the phone (like the stock messaging app, voice, etc). I hope it helps at least a little bit. :\
As for the cycling thing, li-on batteries don't need to be cycled, and actually it does more harm to your battery's longevity than good. However, it seems like only ~5% of the internet population is aware of this, so everyone spreads the wrong info around, unfortunately.
How to Prolong Lithium-based Batteries – Battery University
"Capacity drop as part of cycling. A pool of new 1500mA Li-ionbatteries for smart phone istested on a Cadex C7400 battery analyzer.
All 11 pouch packs show a starting capacity of 88?94 percent and decrease in capacity to 73?84 percent after 250 full discharge cycles (2010)."