Re: Integral

From: Jyrki Lahtonen (lahtonen_at_utu.fi)
Date: 12/27/04


Date: Mon, 27 Dec 2004 12:08:20 +0200

mike3 wrote:
> I want *exact* answers.

Tough luck.

  Can the quintic be solved
> in a finite number of elementary functions -- ie.
> both algebraic and (elementary!) trascendental functions
> (ie. sin, cos, tan, etc.)? I know you can't solve it using just
> +, -, *, /, and radicals, but what about elementary
> functions in general? Or has that too been proven
> impossible and hence the integral cannot be expressed in
> closed form in terms of elementary functions?

Hmm. IIRC solving the fifth degree equation requires the use
of certain hypergeometric series. Thus my guess is that
elementary transcendental functions won't be enough.

Cheers,

Jyrki Lahtonen, Turku, Finland



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