Word Count : 196

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The Fourier transform of a function \( f(x) \) is given by: \[ F(k) = \int_{-\infty}^{\infty} f(x) e^{-i k x} dx \] For \( f(x) = e^{-9x^2} \), the Fourier transform is: \[ F(k) = \int_{-\infty}^{\infty} e^{-9x^2} e^{-i k x} dx \] This is a standard Gaussian integral of ________ _____ _________ ________ _______ __________ ____.
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