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Re: Understanding the Output

  • To: mathgroup at
  • Subject: [mg32818] Re: Understanding the Output
  • From: "Allan Hayes" <hay at>
  • Date: Thu, 14 Feb 2002 01:43:36 -0500 (EST)
  • References: <a4au3v$bs9$>
  • Sender: owner-wri-mathgroup at

For your second example the answer is actually  - 1/24(1-x^4)^6.
Subtracting this from the answer given by Mathematica and expanding, we get

    Integrate[x^3 (1-x^4)^5,x] - (-1/24(1-x^4)^6)//Expand


Which is OK - primitives are determined only up to an added constant.


Allan Hayes
Mathematica Training and Consulting
Leicester UK
hay at
Voice: +44 (0)116 271 4198
Fax: +44 (0)870 164 0565

"Steven Spear" <smitsky at> wrote in message
news:a4au3v$bs9$1 at
> Hi. I'm having trouble understanding some output in Mathematica. If I
> Int [x-1] dx, the output I receive is ((-2/3) + (2x/3)) Sqrt(-1+x). If I
> the calculation by hand, I get 2/3.(x-1)^3/2. If I perform:
> FullSimplify(((-2/3) + (2x/3)) Sqrt(-1+x)), I get the same answer
> (2/3.(x-1)^3/2).
> With trying to use u-substitution, and figuring more complex Integrals, it
> get harder to discern the output. For instance: I tried to evaluate the
> Integral Int [x^3 (1-x^4)^5] dx. I may not be correct, but by hand I got
> 1/24.(1-x^4)^6. Mathematica gave a very different output, and using
> FullSimplify didn't seem to help.
> Is there any way to get Mathematica to output these values a little
> differently? Am I incorrect on the second example? Any ideas will be
> appreciated. Thanks, Steve

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