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V=-N∫dB/dt(dot)dA

then I used the chain rule to turn it into

V=-N∫dx/dt * dB/dx(dot)dA

my question is, can I pull the dx/dt out of integral? I was doing the experiment, and measured the voltage drop, and varied the speed. the speed isn't constant, as it's the speed of a (frictionless) cart going down a ramp

'cause this formula ( V=-Nv∫dB/dx(dot)dA ) would be much better for my data anaylsis