Actually I got this from a facebook group…
I don’t get the answer even though I am supposed to be good at Math!
I swear we’ve had this exact question before, but my searching is turning up nothing. I think it was some time in the middle of March?
This might help.
Without doing any actual math the first thing I would have tried would have been the digits of pi.
First, I guessed the answer to be pi, since it is the only number for which many people know more than 10 digits. I would have given that a try and the problem would be solved. If that didn’t work, I’d do the integral, which is easy, since the complicated term involving x^3 obviously integrates to zero, since the overall expression is odd, meaning the integral for -2 to zero will cancel the integral from zero to two. That leaves just the sqrt(4-x^2) term, which is easy if you know a few tricks.
According to Maxima it’s exactly pi.
I’d solve the question by patronising a different establishment. Life’s too short.
I think you could make it a bit harder and use the definite integral from -1 to 1. Still solvable with a calculator, I think.
I almost got tripped up when I asked a bartender for the wifi password and she replied, “you have to buy a drink first”.
I’d already purchased one, so I was able to say, “all lower case?” She answered, “yes, and no spaces”.
And pi is exactly 3! [/frink]
Except in Indiana, where in 1897 it was very nearly decreed by law to be exactly 3.2. 
I feel like I should understand this but it’s be so many years since my 2 semesters of calculus and I’ve never had to use it.
I suppose i should brush up just to keep my brain in shape.
And yes, I also would have tried pi. Then e. Then a bunch of other important constants, mathematical and physical.
So 6?
Pi is 10 base pi.
Actually pi is exactly √2 + √3, according to this perfectly cromulent YouTube video.
Reported(salesvu1983)