Calculus 13.6-13.8

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lkdemott  on June 2, 2010

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Calculus 13.6-13.8

∫∫f(r(u,v))*|ru x rv|dA
surface integral: case 1
1/7
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∫∫f(r(u,v))*|ru x rv|dA surface integral: case 1
∫∫f(x,y,g(x,y))*sqrt(1+(dz/dx)^2+(dz/dy)^2)dA surface integral: case 2
∫∫F*(ru x rv)dA Evaluate ∫∫FdS case 1
∫∫<P,Q,R>*<-dz/dx,-dz/dy,1>dA Evaluate ∫∫FdS case 2
∫F(r(t))*r'(t)dr curl
∫∫curl F*<-dz/dx,-dz/dy,1>dA Use Stoke's theorem to evaluate ∫Fdr
∫∫∫div FdV ∫∫FdS

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