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Math Help - Evaluate the line integral

  1. #1
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    Evaluate the line integral

    Show that F=(\displaystyle \frac{x}{x^2+y^2},\displaystyle \frac{y}{x^2+y^2}) and G=(\displaystyle \frac{y}{x^2+y^2},\displaystyle \frac{x}{x^2+y^2}) are such that one of F.dP, G.dP is exact but the other is not.
    (dP=(dx,dy)).

    Let C be the shorter arc of x^2+y^2=1 from (1/\sqrt{2},-1/\sqrt{2}) to (1/\sqrt{2},1/\sqrt{2}). Evaluate \int _c\,\!F.dP and \int _c\,\!G.dP.
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  2. #2
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    Okay, what have you done here? What is F.dP? What is G.dP? How you tell if such a "differential" is exact or not?

    What is a parameterization for x^2+ y^2= 1 using the angle a point makes with the x-axis as parameter?
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  3. #3
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    Quote Originally Posted by HallsofIvy View Post
    Okay, what have you done here? What is F.dP? What is G.dP? How you tell if such a "differential" is exact or not?

    What is a parameterization for x^2+ y^2= 1 using the angle a point makes with the x-axis as parameter?
    using the angle a point makes with the x-axis as parameter is what i have been struggling to do, I have hard time driving picture of the region
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