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## Homework Statement

Say I have a line integral which I have simplified to:

[itex]\int\int x+y dS[/itex]

Over some surface S, let's say 5x^2 + 3y^2 = 4 or something. Having arrived at this step, how do I determine dS? The formulas and methods we've been taught doesn't really lead to this step all that often but I'd like to know a general approach for determining dS when it is in this form.