How does one integrate the following? $$\int_{0}^{\infty}\frac{\cos(x)-e^{-x^2}}{x} dx$$ Is it possible to do this without using mellintransformation?
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1You can use Laplace transform instead. See here. – Mhenni Benghorbal Mar 29 '14 at 11:06
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1Here is the same problem which uses the Mellin transform. – Mhenni Benghorbal Mar 29 '14 at 11:33
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1This helped a lot, thanks Mhenni! – Parseval Apr 01 '14 at 04:17
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You are welcome. – Mhenni Benghorbal Apr 01 '14 at 10:55