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