I am trying to find an integral of multiplication exponential function with a delta function. I know a property of delta function that if I would like to take the integral of the multiplication delta function with function, I get this function:

\begin{equation} \iint f(t)\delta(t-a)=f(a) \end{equation}

Quastion 1 : How to find :

\begin{equation} \iint f(t)\delta(t+a)=? \end{equation}

  • $\begingroup$ $$\delta(t+a)=\delta(t-(-a))$$ $\endgroup$ – Fakemistake Dec 8 '18 at 8:52

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