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MathGroup Archive 1999

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Re: Solving difficult integral

  • To: mathgroup at smc.vnet.net
  • Subject: [mg18670] Re: [mg18620] Solving difficult integral
  • From: "Tomas Garza" <tgarza at mail.internet.com.mx>
  • Date: Thu, 15 Jul 1999 01:45:54 -0400
  • Sender: owner-wri-mathgroup at wolfram.com

Christian Gudrian [Christian.Gudrian at hermes.kawo1.rwth-aachen.de] wrote:

> I need to solve the following integral:
>
> Integrate[Sqrt[C0+C1*x+C2*x^2+C3*x^3+C4*x^4],{x,0,t}]
>
> For those of you who do not recognize it at once: it's the integral of the
> square root of a 4th degree polynomial in x. I've tried to solve the above
> integral with Mathematica, but after, say, two hours of computing
> I stopped
> the calculation - it looked like the Kernel crashed or whatever.
> Is there an
> analytical solution to this problem at all?

Hi Christian!

Perhaps you can assign numerical values to your constants before performing
the integration. Just to have a taste of what kind of answer you are liable
to get, try C0=C1=C2=C3=C4=1. The result is quite something!

Tomas Garza
Mexico City



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