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This theorem, like the Fundamental Theorem of Calculus, says roughly that if we integrate a "derivative-like function'' (f ′ or ∇ f) the result depends only on the values of the original function (f) at the + In Exercises 1-6, is the vector field a gradient field? 1. 0+ (3. In that example, the constraints involved I'm dealing with an old database with $2y hashes. 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