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Find the flux of the vector field F across the surface S in the indicated direction. F = x ^ 3y ^ 3i + yj

Find the flux of the vector field F across the surface S in the indicated direction.

F = x ^ 3y ^ 3i + yj - zk; is the portion of the parabolic cylinder z = 1 – y ^ 2 for which z is greater than or equal to 0.

4 < x < 5 (less than or equal to for both, i just don't know how to input the greater or equal/less than signs correctly, sorry); direction is outward (away from xy-plane).

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