One more note:
If you don't have the capability to use the analysis toolkit, you can still do integration. I'd suggest doing research on the trapezoidal rule, Simpson's 1/3rd rule, or Runge-Kutta integration. There are a lot of numerical tools for doing integration. Of course, these have associated errors with them, but i'm sure Labview isn't precise either. It just comes down to setting up the proper method for the required task. Labview's integration, as far as i know, doesn't mention anything about the amount of error contained in it. Maybe a review of the help manual or calling up tech support would provide a more profitable solution to the error issues.
The Trapezoidal rule is the easiest to program, and has the most error. Just search on google or something for numerical integration and it should provide the necessary solution for your question (assuming you don't have the analysis toolkit).
I'd also imagine, if your signal is dirty, you'll want to filter it out. Once again, the toolkit has these options (vibration signals can get nasty), or you can build your own (good luck, i have no clue).
This could involve resampling the data as well. There are a lot of things to consider when looking at vibration information (the place i work does a lot of this, i'm less fluid than most of them, i'm only a Co-Op)
Lastly, make sure you aquired the data properly using the Nyquist sampling theorem, or the Super Nyquist Sampling Theorem (it is truely super).
Sincerely,
ElSmitho (sorry, forgot to mention those goodies)