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I would like to get dirac delta from integral definition, of course if I ask

  Integrate[Exp[I x t],{x,-Infinity,Infinity}]

I get that the integral does not converge because it does not. In this case I have to work with distribution rather than with function. A workaround can be

  FourierTransform[1,x,t]

but I was wandering if there is the possibility to make Mathematica handle distributions inside normal integrals

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  • $\begingroup$ If you're looking just for the Dirac distribution, can't you just use the value at 0 of the test function, instead of using an integral? $\endgroup$ – anderstood Mar 22 '17 at 15:41
  • $\begingroup$ Of course I would like to have something general. Of course if I already know the result of the integral it is easy to get Mathematic a spit it out. $\endgroup$ – MaPo Mar 22 '17 at 15:43

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