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Mathematics
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MHB Math Problem of the Week
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Exponential-Type Integrals
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[QUOTE="julian, post: 6817941, member: 142346"] The correct answer to the integral $$ \int_{-\infty}^\infty \frac{e^{a x}}{1 + e^x} dx $$ can be obtained by closing the contour by a large semi circle in the upper or lower HP. But you need to give an argument for why the semi circle part of the integral can be taken to be zero. I'm not sure how rigorous an argument you can give. Or you can follow [USER=415692]@pasmith[/USER]'s suggestion. Or you can evaluate the integral that [USER=415692]@pasmith[/USER] alludes to by a contour integral. [/QUOTE]
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