Re: Solving difficult integral

• To: mathgroup at smc.vnet.net
• Subject: [mg18676] Re: Solving difficult integral
• From: Gursoy Turan <g-turan at uiuc.edu>
• Date: Thu, 15 Jul 1999 01:45:58 -0400
• Organization: University of Illinois at Urbana-Champaign
• References: <7mek2g\$9il@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Hallo Christian,

Try plotting the function and see if there are any singularities. If the
function goes to infinity for some values of x, mathematica "may" not be
able to calculate the integral. In this case you would have to apply the
Residue Theorem.

Good Luck

Christian Gudrian wrote:
>
> Hello!
>
> I've got the following problem:
>
> 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?
>
> Thanks for all help there is hopefully to come...
>
> Christian

--
Gursoy TURAN
104 S.Wright Street,
Talbot Lab., Room: 319 F
Urbana, IL 61801

Tel: (217) 244 2385

```

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