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MIT 18.02 Multivariable Calculus, Fall 2007 16 Online
OpenStudy (anonymous):

please help! see attached

OpenStudy (anonymous):

OpenStudy (anonymous):

The answer is zero. The field F=<y,x> is conservative, and therefore the line integral just represents the difference in the field's potential function at the endpoints. Since you have a simple closed curve, the initial and final points are the same. I hope I'm articulating that correctly...

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