An important field in a range of applications is given by v

An important field in a range of applications is given by v = xi + yj/x^2 + y^2. In fluid mechanics it corresponds to a simple model of a source of fluid at the origin. Evaluate the line integral integral_c v middot n dS to find the flux through a circle of radius a centered at the origin. There is a special feature of your answer which is quite significant, especially in the context of a fluid source. Comment.

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