anonymous
  • anonymous
Hey there, I have a quite simple question. If you're integrating a line integral over a perimeter of a square, would you find parametrize each of the lines and find 4 different integrations along those lines and add them up to get an answer?
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
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anonymous
  • anonymous
are you given the vertexes of the square in question?
anonymous
  • anonymous
Yes
anonymous
  • anonymous
so integrate along each line of the square and add the results.

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anonymous
  • anonymous
Thanks. Should I use canonic equation for the parametrization?
anonymous
  • anonymous
yes, you can use that. What is your line integral, btw?
anonymous
  • anonymous
\[\int\limits_{c+}^{} (y^2+x^3)dx+x^4dy \]
anonymous
  • anonymous
okay, so if the square has sides parallel to the x and y axes, then dy = 0 for the horizontal sides and dx = 0 for the vertical sides.
anonymous
  • anonymous
I am supposed to use Green's theorem for this one. Which I don't really understand ;(
anonymous
  • anonymous
green's theorem applies when you have a closed space created by which has 4 different curves as its boundaries. http://en.wikipedia.org/wiki/Green%27s_theorem

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