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I'm familiar with the fact that the dirac delta function (when defined within an integral is even)

Meaning delta(x)= delta(-x) on the interval -a to b when integral signs are present

I want to prove this this relationship but I don't know how to do it other than with a limit maybe

Book said they proved it using a change of variables and changing limits of integration but I can't see how they proved it? Does anyone know how?

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# Dirac delta function how did they prove this?

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