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Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the
field F across the surface S in the direction away from the origin.
F = 4yi + (5 - 5x)j + (z² − 2)k
S: r(0,0)=(√11 sin cos 0) i + (√11 sin o sin 0)j + (√11 c
0≤0≤2π
cos ) k, 0≤ ≤л/2,
The flux of the curl of the field F across the surface S in the direction of the outward
unit normal n is
(Type an exact answer, using as needed.)

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