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anonymous

  • 5 years ago

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?

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  1. anonymous
    • 5 years ago
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    are you given the vertexes of the square in question?

  2. anonymous
    • 5 years ago
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    Yes

  3. anonymous
    • 5 years ago
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    so integrate along each line of the square and add the results.

  4. anonymous
    • 5 years ago
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    Thanks. Should I use canonic equation for the parametrization?

  5. anonymous
    • 5 years ago
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    yes, you can use that. What is your line integral, btw?

  6. anonymous
    • 5 years ago
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    \[\int\limits_{c+}^{} (y^2+x^3)dx+x^4dy \]

  7. anonymous
    • 5 years ago
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    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.

  8. anonymous
    • 5 years ago
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    I am supposed to use Green's theorem for this one. Which I don't really understand ;(

  9. anonymous
    • 5 years ago
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    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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