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Q#1 Calculus GATE EE 2023 NAT +2 marks -0 marks

The closed curve shown in the figure is described by , where ;

. The magnitude of the line integral of the vector field  around the closed curve is __________ (Round off to 2 decimal places).

Explanation:

x = r cosθ dx = -r sinθdθ

y = r sin θ dy = r cos θ dθ

 on closed curve

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