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Multivariable CalculusHardVector Calculus

Vector Calculus · Hard problem

The field F=(2x,2y,2z)\mathbf F = (2 x, 2 y, 2 z) is conservative. Find ∫CF⋅dr\displaystyle\int_C \mathbf F\cdot d\mathbf r along any path from (−1,3,1)(-1, 3, 1) to (0,1,1)(0, 1, 1).