Re: Integrate f(x(t)) dx/dt dx?
- From: "Jon Slaughter" <Jon_Slaughter@xxxxxxxxxxx>
- Date: Fri, 21 Sep 2007 22:50:24 GMT
"blackhead" <larryharson@xxxxxxxxxxxx> wrote in message
news:1190397131.091042.72050@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
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.
since dt/dx = 1/(dx/dt)
you have same as
int(f(x)*1/(1/dx/dt)*dx)
=
int(f(x)/t^(x)dx)
so if you know x(t) and can find t^(x) from that you should be able to find
the integral.
.
- References:
- Integrate f(x(t)) dx/dt dx?
- From: blackhead
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