I am searching for a tip on how to handle the following integral, $\int_c^\infty e^{-x^2}\sin\dfrac{b}{x^2}~dx$ and also $\int_c^\infty e^{-x^2}\cos\dfrac{b}{x^2}~dx$ where both $c$ and $b$ are real. I could not find it in the Integrals table. Thanks for having a look!
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It can expressed by the Error function – Dr. Sonnhard Graubner Feb 03 '19 at 11:25
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The erfc function would in fact be the integral of the first factor, but the cosine or the sine would change that. I did not find an expression for it. Did you? – DT2 Feb 03 '19 at 13:58
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You may be interested in the first answer in this question:https://math.stackexchange.com/questions/128687/bessel-function-integral-and-mellin-transform – Dispersion Feb 03 '19 at 15:07