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  3. 2 consider the line integral f dr where the vector

2 Consider the line integral F dr where the vector field C 2y e sin...

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Calculus

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2 Consider the line integral F dr where the vector field C 2y e sin x y i 3 3 e cos y z 2 j F and C is the closed curve in the first quadrant consisting of the curve r y 1 and the coordinate axes a 0 and y 0 oriented anticlockwise a Use Green s theorem to express the line integral in terms of a double integral over the region R enclosed by C b Calculate the double integral using a repeated integral with respect to y first and second c Now reverse the order of integration and evaluate the double integral using a re peated integral with respect to a first and y second

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