Suppose S is the union of the cylinder x² + y² = 1 for 0 ≤ z ≤ 1 and the disk x² + y² ≤ 1 at z = 1. Suppose F is a vector field such that ▼ × F = ( sinh(z)(x² + y²), ze²v+cos(x+v), (x2 + y) tan−¹(2)). Calculate the flux of V x F though S.

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