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[Octave-bug-tracker] [bug #60705] sym int x*sqrt(abs(x)) on [-1, 1] give


From: anonymous
Subject: [Octave-bug-tracker] [bug #60705] sym int x*sqrt(abs(x)) on [-1, 1] gives 4/5, instead of 0.
Date: Sun, 30 May 2021 13:16:23 -0400 (EDT)
User-agent: Mozilla/5.0 (Windows NT 10.0; Win64; x64; rv:88.0) Gecko/20100101 Firefox/88.0

URL:
  <https://savannah.gnu.org/bugs/?60705>

                 Summary: sym int x*sqrt(abs(x)) on [-1,1] gives 4/5, instead
of 0.
                 Project: GNU Octave
            Submitted by: None
            Submitted on: Sun 30 May 2021 05:16:21 PM UTC
                Category: Octave Function
                Severity: 3 - Normal
                Priority: 5 - Normal
              Item Group: Incorrect Result
                  Status: None
             Assigned to: None
         Originator Name: Mihai
        Originator Email: iancum1h41@gmail.com
             Open/Closed: Open
                 Release: 6.2.0
         Discussion Lock: Any
        Operating System: Microsoft Windows

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Details:

int(x*sqrt(abs(x)),x,-1,1), where x is symbolic, returns  the wrong value 4/5.
The correct value is 0 (the function is odd on [-1,1]). Similarly, for any
positive integer power of x integrated with the weight function sqrt(abs(x))
on [-1,1].




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  <https://savannah.gnu.org/bugs/?60705>

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