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I want to calculate [itex]\int_0^{\infty}e^{-a t^2}\cos(2xt)dt=\frac{1}{2}\sqrt{\frac{\pi}{a}}e^{\frac{-x^2}{a}}[/itex]. The answer is known from the literature, but I don't know how to do it step by step. Any one has a clue? Thanks.

Jo

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# How to calculate the fourier transform of a gaussion?

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