Re: Integration of UnitStep has bugs!? help!

*To*: mathgroup at smc.vnet.net*Subject*: [mg51595] Re: Integration of UnitStep has bugs!? help!*From*: Karl_boehme_9 at msn.com (Klaus G)*Date*: Wed, 27 Oct 2004 01:53:54 -0400 (EDT)*References*: <clcnlr$q41$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

"news" <symbio at s.dn.com> wrote in message news:<clcnlr$q41$1 at smc.vnet.net>... > Can anyone explain why Integrate does not work propery with UnitStep > function? When you integrate from -inf to inf you get one answer, but when > you split it to two sections (from -inf to 0, and then from 0 to +inf) you > get a different answer. Which is correct? And why is Mathematica version 5 > has not fixed this problem yet? See below. > > In[1]:= > \!\(\(x[t_] = \((3 Exp[\(\(-1\)\/2\) t] UnitStep[t])\) + > DiracDelta[t + 3];\)\[IndentingNewLine] > \(h[t_] = UnitStep[t] - UnitStep[t - 2];\)\[IndentingNewLine] > \(eq1 = > Integrate[ > [.................] Please use ASCII code. I cannot read that. Klaus G.