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Math Help - Line integral problem.

  1. #1
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    Line integral problem.



    Is the answer 1 or 0?

    I get different answers by doing the line integral and using the path-independency theorem. (Because the vector field is conservative)

    Any help will be appreciated.
    Last edited by mr fantastic; May 31st 2010 at 01:13 PM. Reason: Of course you want help!
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  2. #2
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    Quote Originally Posted by Faux Carnival View Post


    Is the answer 1 or 0?

    I get different answers by doing the line integral and using the path-independency theorem. (Because the vector field is conservative)

    Any help will be appreciated.
    What is the value of z along c?
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  3. #3
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    It is 0. (Zero)
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  4. #4
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    I got 0 both ways - show us your work.
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  5. #5
    MHF Contributor chisigma's Avatar
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    The line integral is...

    \int_{-1}^{0} 3y^{2} dy + \int_{0}^{2} 0 dx + \int_{0}^{1} (3y^{2}-2) dy = \int_{-1}^{1} 3y^{2} dy - \int_{0}^{1} 2 dy =0

    Kind regards

    \chi \sigma
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  6. #6
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    Oh my god, thank you guys. I was doing the stupidest mistake. I went over it again and again. I always ended up doing the same mistake.

    1-2-(-1) = 1
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