Question: Evaluate the surface integral S F dS for the given vector field F and the oriented surface S . In other words, find the

Evaluate the surface integral 

  
Evaluate the surface integral   SF · dS for the given vector field F and
S

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) = xy i + 16x2 j + yz k

S is the surface z = xey, 0 ≤ x ≤ 1, 0 ≤ y ≤ 4, with upward orientation

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