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Homework Help: Integral Problem

  1. Nov 12, 2006 #1
    The problem:

    Evaluate the integral
    [tex] \oint_{c} Fdr [/tex] for [tex] F = (2xy^4)i+(2x^2y^3)j [/tex] on the curve C consisting of the x-axis from x=0 to x=1, the parabola y=1-x^2 up to the y-axis, and the y-axis down to the origin

    Here is what I tried


    F(x,y)=[tex]<2xy^4,2x^2y^3> [/tex]


    [tex] \int\int_{D} =[(2x^2y^3)*\frac{\partial}{\partial x}-(2xy^4)\frac{\partial}{\partial y}] dA [/tex]


    = [tex] \int_{0}^{1} \int_{1-x^2}^{0} [4xy^3-8xy^3] dy dx [/tex]


    =1/10
     
    Last edited: Nov 12, 2006
  2. jcsd
  3. Nov 12, 2006 #2
    Ok I have redone this problem... multiple times... and now I am getting

    -1/10

    can someone confirm this for me, I am out of tries on my submission so I need to be sure when I submit this problem
     
  4. Nov 13, 2006 #3
    alright I solved it nevermind
     
  5. Nov 13, 2006 #4

    Office_Shredder

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    I am so confused by the double integral
     
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