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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)=2x2y+yz−2z2f(x, y, z) = 2 x^{2} y + y z - 2 z^{2}. Find ∫CF⋅dr\int_C \mathbf F \cdot d\mathbf r along ANY path CC from (−1,1,−1)(-1, 1, -1) to (2,−2,0)(2, -2, 0).