how to evaluate $\int_0^\infty \! e^{ipx} \, \mathrm{d}x$, I know I can take the contour in the first quadrant, but why how does the integral over the arc vanish as R goes infinity, as it does not satisfy the Jordan Lemma.
2026-04-12 14:09:27.1776002967
how to evaluate this contour integral
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