Evaluate the surface integral *Integral Integral over S of F.dS* for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation.

F(x,y,z) = x^2 i y^2 j + z^2 k ;

S is the boundary of the solid half-cylinder
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Question

Evaluate the surface integral *Integral Integral over S of F.dS* for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation.

F(x,y,z) = x^2 i y^2 j + z^2 k ;

S is the boundary of the solid half-cylinder 
0 <= z <= sqrt(1-y^2)
0 <= x <= 2

anonymous · Answer

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