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Vector calculus

  1. Mar 16, 2009 #1
    use green lemma to evaluate line integral int of (x^2-y^2)dx-4xydy over rgn bounded by y^2=4x,y=0,x=1 in ist quadrant.
    attempt

    double integral (dv/dx -du/dy)dx dy=int. from limit 0to 2(int.from 0to 2x^1/2(6ydxdy))
    =int.lim 0to 2(12x^3/2)dy

    =24/5(2^5/2)


    ans in book is -2.
     
  2. jcsd
  3. Mar 16, 2009 #2

    Dick

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    I don't find that dv/dx-du/dy is 6y. Be careful with your signs.
     
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