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Consider the line integral int limits text C left( text xdy...

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Calculus
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Consider the line integral \[\int\limits_{\text{C}} {\left( {{\text{xdy}} - {\text{ydx}}} \right)} \]   the integral being taken in a counterclockwise direction over the closed curve C that forms the boundary of the region R shown in the figure below. The region R is the area enclosed by the union of a 2 × 3 rectangle and a semi-circle of radius 1. The line integral evaluates to
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Correct Answer: Option A
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