Integral with a twist

  • #1
202
0

Main Question or Discussion Point

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
1,879
162
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
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
1,545
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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
1,545
10
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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