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Hi, I was reading something on conservative fields, in this example [itex]\phi[/itex] is a scalar potential. (Please refer to the attatched thumbnail). It's partial derivatives, but I'm not sure why the d[itex]\phi[/itex]/dx * dx, the dx should cancel out? and that should leave d[itex]\phi[/itex]. So the integral should be -3∫d[itex]\phi[/itex]. I know this is wrong, but I'm not sure why, can someone explain?

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