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1. The theorem of Green states that for a vector field F(x,y) = (P(x,y), Q(x,y)) defined on a simply connected open set, the line integral of F around any closed curve C within the set equals the double integral of the curl of F over the interior region bounded by C. 2. It provides an expression for calculating the line integral using a double integral, which can sometimes be easier to evaluate. 3. The theorem is applied to problems involving vector fields and line integrals over curves, allowing the pr

Author

Jose Angel Xp

Language

EN