SVT is using an FIR filter to perform the integration. The used filter has a low-frequency cut-off (high-pass) to remove the dc component. You can do the same and apply an appropriate high-pass filter after your integration.
Another approach that may be easier for you is to perfom your integration in an analytical way. Since you know that your signal is a sine tone, you can compute the integrated signals once you know the frequency, amplitude and phase of your acceleration signal. To get this information, use for example the Extract Signal Tone Information.vi in your Analyze>>Waveform Measurements palette. Check also the following posting that includes an example VI at the end. http://exchange.ni.com/servlet/ProcessRequest?RHIVEID=101&RPAGEID=135&HOID=50650000000800000068AF0000&UCATEGORY_0=_49_%24_6_&UCATEGORY_S=0
