EA's Origin service has been improving steadily since its initial launch last year, and will be again further soon. Besides smaller tweaks to performance and the ability to add non-Origin games to Origin, Twitch.tv streaming will be integrated into the client, so you'll be able to stream your gameplay to the world without ever leaving the game, and with minimal work involved (it's said to be just a few clicks).
As a nice touch, you'll be able to see in-game how long you've been broadcasting for, and also how many people are watching your stream. There are also options for mic and game volume, resolution, framerate, and more.
You can test out the new feature now or soon by opting into beta versions via the Origin options menu; it will go public soon enough.
EA says further updated to this functionality will come in the future -- sounds like they're off to a great start already, though.