Acceleration to Velocity by area integration

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I know this has been asked many times.
I am integrating acceleration data from MEMS accelerometer to get velocity.

I found an app note by freescale - http://cache.freescale.com/files/sensors/doc/app_note/AN3397.pdf

It ignores the sampling time to calculate the area.
The formula should be sample: Vx= V(x-1)+[N-(N-1) * T]. Right?
But the app note it is -
Vx = V(x-1)+N+[((N-(N-1))/2]

V(x-1) is the previous integration result.
 
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It ignores the sampling time to calculate the area.
... you still have to multiply by time somewhere.

N+[((N-(N-1))/2]
... nonsense: did you misplace a parenthesis?

N+[((N-(N-1))/2]=N+1/2