Green's Theorem: F = 3xy - (x/(1-y^2))i + (e^x + arcTan(y))j

CalculusLover

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Nov 9, 2007
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(Q) Find the outward flux of the field

F = 3xy - (x/(1-y^2)) i + (e^x + arcTan(y)) j.

across the cardiod r = a(1+Cos[theta]), a > 0.
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I could set up the double interal correctly which comes to:


However, I am not sure as to how to put the limits of this integral correctly.[/code][/tex]
 
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