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Math Help - Calculus Help-Green's Theorem

  1. #1
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    Calculus Help-Green's Theorem

    How do you evaluate the line integral (2y-3x+5+e^y(y-1))dx+(4x-3y-2+xye^y)dy by using Green's Theorem given that the smooth curve has 2 end points at (1,0) and (-1,0) and the area of the region bounded by the smooth curve is 1.
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  2. #2
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    Re: Calculus Help-Green's Theorem

    Hey sean60630.

    Have you tried constructing the double integral with limits that correspond to your end points and area? (in other words, what will be the region of integration be?)
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  3. #3
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    Re: Calculus Help-Green's Theorem

    What would the limits of integration be and do I just set up one integral? If you know can you possibly show me so I can solve it? Thanks.
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  4. #4
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    Re: Calculus Help-Green's Theorem

    Is the line integral path independent and is the vector field conservative? (If it is: you can use additional theorems namely that the line integral will be 0)
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