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Calculate the line integral of the spin field

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Calculate the line integral of the spin field S = (-y, x) along the one twist of the arithmetic spiral x = t*cos(t), y = t*sin(t), and 0 =< t =< 2pi.

 

I am having a hard time with this. Please help if you can. Thanks!
closed with the note: figured it out
asked Oct 9, 2013 in Calculus by anonymous
closed Oct 10, 2013
   

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