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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
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Integration of gaussian times absolute value of cosine
Is there a way to compute/estimate the following integral?
$\int_0^\infty e^{-(x/c)^2}\left|\cos{x}\right|dx$
where $c$ is a real constant. I would like to know if it is of order $e^{-c^2/4}$ like the …