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RE: How to Integrate[Abs[x]]?

  • To: mathgroup at
  • Subject: [mg91626] RE: [mg91624] How to Integrate[Abs[x]]?
  • From: "Jaccard Florian" <Florian.Jaccard at>
  • Date: Sat, 30 Aug 2008 01:49:53 -0400 (EDT)
  • References: <>


It's because Mathematica considers x as a Complex number.
So you can do it like this :

In[35]:= Assuming[Element[x, Reals], Integrate[Abs[x], x]]

Out[35]= Piecewise[{{-(x^2/2), x <= 0}}, x^2/2]

Or like this :

In[36]:= Integrate[Sqrt[x^2], x]

Out[36]= (x*Sqrt[x^2])/2



-----Message d'origine-----
De : Thomas Dybdahl Ahle [mailto:lobais at]
Envoy=E9 : vendredi, 29. ao=FBt 2008 10:26
=C0 : mathgroup at
Objet : [mg91624] How to Integrate[Abs[x]]?

On my Ti calculater |x| is easily integrated to |x|*x/2, but when I type =
Integrate[Abs[x],x] in mathematica, it seams like it can't find the =
Is there anything I'll have to do, to make mathematica find the =

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