Use the surface integral in Stokes Theorem to calculate the flux of the curl of the field

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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 of the outward unit normal n.


F = 2zi + 3xj + 5yk


S: r(r, θ) = (r cos θ)i + (r sin θ)j + (4 - r2)k, 0 ≤ r ≤ 2, 0 ≤ θ ≤ 2πimage

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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