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Multivariable CalculusHardSurface Integrals, Stokes & Divergence

Surface Integrals, Stokes & Divergence · Hard problem

Let F=∇f\mathbf F = \nabla f with f(x,y,z)=3x2y+yzf(x, y, z) = 3 x^{2} y + y z. Find ∫CF⋅dr\int_C \mathbf F \cdot d\mathbf r along ANY path CC from (−2,−1,−1)(-2, -1, -1) to (2,−2,−1)(2, -2, -1).