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I wasn't sure which math forum to put this in to get an answer, but since the application is quantum, I figured this forum would be better.

http://en.wikipedia.org/wiki/Grassmann_number

We see here that Grassman numbers have the property

[tex]\int [ \frac{\partial}{\partial\theta}f(\theta)]d\theta=0[/tex]

I don't see it. Suppose [tex]f(\theta)=a + b\theta[/tex].

Then [tex]\frac{\partial}{\partial\theta}f(\theta)=b[/tex]

And so

[tex]\int [ \frac{\partial}{\partial\theta}f(\theta)]d\theta=b\theta + constant[/tex]

right? At least that is what we would get with regular numbers. How does the anti-commutativity affect that?