
integrating dirac delta over the real ine when its argument has no solution on the real line
Posted:
Apr 2, 2014 3:25 PM


What should CAS do when asked to integrate a dirac delta over the real line when its argument is never zero on the real line?
There is no solution for 2cos(t)=0 on real line.
Maple 18: int( Dirac(2cos(t)),t=infinity..infinity); =========> unevaluated
Mathematica 9.01 Integrate[DiracDelta[2  Cos[t]], {t, Infinity, Infinity}] =======> 0
What does your CAS produce? Another different behavior
Maple: int( Dirac(I*t),t=infinity..infinity); ======> 1
and no Mathematica's turn to return unevaluated answer
Integrate[DiracDelta[I t], {t, Infinity, Infinity}] =====> remains unevaluated
Nasser

