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Math Help - double integrals

  1. #1
    Super Member
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    double integrals

    given that vector filed F= < 2x+ sin y, xcosy>, find integral F.dr where C is the arc y=1-x^2 from (0,1) to (1,0).

    my working

    integral F. dr = double integral curl F dxdy =0.

    what is wrong with my workings?

    i know that i can make use of F= grad f to solve this question..but im just wondering why my this method doesnt give me the correct answer.
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  2. #2
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    To use Stock teorem curve must be closed and make a boundary to surface integral, in your case it is not.
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  3. #3
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    i understand that to be a closed curve, it means to be something like a circle, where the curve starts and ends at the same point.

    but what does it mean that it makes a boundary to surface integral?

    thanks!
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