Britney Spears -- Day Two ... Will She Make It?

She's baaaaaaaaaaaaack ... Britney Spears just showed up for the second day of filming "X Factor" in Austin, Texas today -- wearing the same dress as yesterday ... for continuity.

It should be exciting ... at least if it's anything like Britney's first day -- when the singer walked off the set in the middle of auditions, disappearing for four full performances.

Some sources say Britney was upset over a contestant's rendition of her song "Hold It Against Me." Others say Britney just needed a break.

But it doesn't matter -- as we first reported, Britney's got "X Factor" over a barrel ... locking down a contract that pretty much allows her to do whatever the hell she wants.

3:37 PM PT -- That's a wrap for now. The judges just finished one of today's tapings and waved goodbye to the audience ... check out all those Apple products.

3:32 PM PT -- Britney just said yes to a contestant the other three judges rejected -- saying, "I'll sign you personally, sweetie." One problem ... Britney doesn't have a label.

2:25 PM PT -- We're told Britney has had a great start to the day and seems much more confident -- even getting so bold as to disagree with Simon. She did take one short break, about five minutes, and she missed one audition ... which everyone on set was totally ok with.

1:50 PM PT -- ALL the judges are wearing the same outfits as yesterday -- and sources tell us, the reason is producers didn't get all the shots they needed on the first day of filming ... and need to fill in some gaps.

Britney already seems to be in better spirits today than yesterday ... spotted dancing behind the judges' table with Demi Lovato with Simon Cowell sitting beside them.