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Other proofs relavant to the Dirac delta function can be found at:
https://math.stackexchange.com/questions/177091/int-infty-infty-eikxdx-equals-what
https://math.stackexchange.com/questions/959178/proof-of-an-identity-of-the-dirac-delta
https://math.stackexchange.com/questions/500933/proofs-of-dirac-delta-property
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