Integral with a twist

  • #1
Apteronotus
202
0
How can the following integral be approached?
[tex]
\int f(t) \sqrt{dt}
[/tex]

thanks in advance.
 

Answers and Replies

  • #2
Ben Niehoff
Science Advisor
Gold Member
1,887
168
I'm pretty sure it's meaningless. The units don't work out.

However, it would make sense to write something like

[tex]\int_C f(x,y) \sqrt{dx^2 + dy^2}[/tex]

where C is some contour.
 
  • #3
g_edgar
607
0
There was a long argument about this in one of the forums a few months ago. But Apteronotus will have to give us a context before we can say anything about it.
 
  • #4
lugita15
1,554
15
It doesn't make sense. Since [tex]\sqrt{x+dx} = \sqrt{x} + \frac{dx}{2\sqrt{x}}[/tex], it follows that [tex]\sqrt{dx} = dx/0[/tex], which is of course meaningless.
 
  • #5
lugita15
1,554
15
There was a long argument about this in one of the forums a few months ago. But Apteronotus will have to give us a context before we can say anything about it.
Do you have a link to this thread? I'd be interested in reading it.
 

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