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**How do you do a gaussian integral when it contains a heaviside function!?**

Very few textbooks cover gaussian integrals effectively. This isn't a big deal as they are easy to locate in integral tables, but something I cannot find anywhere is how to handle a gaussian with a heaviside

heaviside = theta

[tex]

\int_0^\infty \theta(v-b)e^{-av^2}dv

[/tex]

where b is an arbitrary value of v where the heaviside 'turns on'

If anyone can help shed some light on this for me it would be greatly appreciated.

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