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Find the value of Green’s theorem for F = x^2 and G = y^2 is(a) 0(b) 1(c) 2(d) 3This question was addressed to me by my college director while I was bunking the class.My question is based upon Green’s Theorem topic in chapter Vector Calculus of Electromagnetic Theory

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Right OPTION is (a) 0

The best I can EXPLAIN: ∫∫(dG/dx – dF/DY)dx dy = ∫∫(0 – 0)dx dy = 0. The value of GREEN’s theorem gives ZERO for the functions given.



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