Flux integral

aka

Jun 2010
4
0
Let F = 5 x^3 I + 1 y^3 J and let n be the outward unit normal vector to the positively oriented circle x^2 + y^2 = 9. Compute the flux integral ∫C F ·n ds.


I thought it would just be the double integral from 0,3 for both x and y of -15x^2-3y^2 muliplied by the area of the circle 3*pi.
 
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