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Student Support Forum > General > > "Integrating DiracDelta"

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Please answer this:4+1 =



Original Message (ID '468456') By jf:
Mysteries of the universe? Probably a side effect of internal processing. I doubt that Integrate goes out of its way to add a -1. The result is correct. In[2]:= Integrate[DiracDelta[x - 1/2], x] Out[2]= -1 + HeavisideTheta[-1 + 2 x] .. In[6]:= D[ -1 + HeavisideTheta[-1 + 2 x], x] Out[6]= 2 DiracDelta[-1 + 2 x] In[9]:= Integrate[ x * DiracDelta[x - 1/2], {x,0,3}] Out[9]= 1/2 In[10]:= Integrate[ x * 2 DiracDelta[-1 + 2 x], {x,0,3}] Out[10]= 1/2