Triple Integrals Problem

[Snorre]

Hello,

I'm not sure if I got it right, but did you mean that:
       
(I've put parentheses in the first screenshot while entering for better readability; these were automagically gone after evaluating in the second screenshot.)
This seems to give the expected result (after printing out a warning -- ignore that for now).

To enter this, either use the integral template by pressing the template key (where the orange letter C is printed on) and fill out the "holes" until it looks right.
   
Or -- easier to describe here -- enter:

Code:

int(int(int(r,z=0..r²-4),r=2..3),x=0..2*π)

(BTW: I prefer the ".." notation for integration limits as this is easier to parse for my tired eyes).

P.S. you needn't to keep two threads about the same question alive.