Re: Integrate f(x(t)) dx/dt dx?
- From: blackhead <larryharson@xxxxxxxxxxxx>
- Date: Fri, 21 Sep 2007 16:25:10 -0700
On Sep 22, 12:06 am, Proginoskes <CCHeck...@xxxxxxxxx> wrote:
On Sep 21, 10:52 am, blackhead <larryhar...@xxxxxxxxxxxx> wrote:
f(x(t)) dx/dt dt can easily be integrated using the substitution
method, but how do you integrate f(x(t)) dx/dt dx ? My maths skills
are very rusty, but I get the feeling that a combination of
substitution and integration by parts might work.
It depends on what f(x) and x(t) are.
For instance, if f(x) = e^(-x^2), then there's no hope of integrating.
(You would have to numerically approximate it, use power series, or
some such technique.)
I'm very interested in the case f(x) = 1/r^3, x(t) completely
arbitary.
--- Christopher Heckman
.
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