An ellipsoid, S, is parameterised by r = a sin θ cos φi + a sin θ sin φj + b cos θk 0 ≤ θ ≤ π 0 ≤ φ ≤ 2π
i. Find the surface element dS, such that dS points OUT of the ellipsoid.
ii. Hence determine the following surface integral over the ellipsoid:
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