Integrate root

[nenad.miksa]

If I integrate expression that contains fraction power, I get weird result:

Code : Tout sélectionner

0>> normal(integrate((1) / (root(3, (x)^(2))), x))
Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):
Check [abs(x)]
3*(x*sign(x))^(1/3)/sign(x)
1>> version()
"giac 1.2.0-19, (c) B. Parisse and R. De Graeve, Institut Fourier, Universite de Grenoble I"

I am confused with this warning and result. Shouldn't result be

Code : Tout sélectionner

(3x) / root(3, x^2)

i.e. without signum function? (Wolfram alpha returns this)

Is there a way to tell integrate to use only real domain and prevent it to output sign(x) in result?

[parisse]

You can run assume(x>0) if you don't want the sign(x).

[nenad.miksa]

Thanks, you are very helpful.