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Find the line integral help

  1. Apr 14, 2004 #1
    Hi!!

    I had exam today and i got one task that i am not sure how i should have made it so i hope you can help me with this one

    It goes :

    Find the line integral (i'm not good with using symbols so i'll do my best here)
    integral by line C from (y-z)dx+(z-x)dy+(x-y)dz
    int_C ( (y-z)dx+(z-x)dy+(x-y)dz )
    and C is given by
    (x^2)+(y^2)+(z^2)=1
    y=x(sqrt3)

    thanx a lot in advance and hope to hear from any of you soon
     
  2. jcsd
  3. Apr 14, 2004 #2

    Tom Mattson

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    If you make the substitution y=(3)1/2x, then you get for C:

    4x2+z2=1

    and you get for your integrand:

    ((3)1/2-1)∫Czdx-xdz

    I'd use Green's theorem from there.
     
  4. Apr 15, 2004 #3
    Thank you so much

    i will try to work from there :)
     
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