Question: Let & F . dr denote the line integral over a closed curve C. C Let f(x, y) and g(x, y) be continuously differentiable real-valued

Let & F . dr denote the line integral over a

Let & F . dr denote the line integral over a closed curve C. C Let f(x, y) and g(x, y) be continuously differentiable real-valued functions. Show that fVg . dr = - $ gVf . dr C for any closed curve. (Hint: What is V(fg)?)

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