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## Homework Statement

I have the integral:

[itex]\int^{\infty}_{-\infty}ie^{-(x-x_{0})^{2}}sin(vx) dx[/itex]

where x_0 and v are real constants.

The sine function is odd. But what about the exponential? If it's even, then the integral is zero, but the exponential is not centred around origo. Will the integral still be zero as long as the exponential is

*not*an odd function?