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Multivariable CalculusEasyVector Calculus

Vector Calculus · Easy problem

Let f(x,y,z)=x2y+z3f(x,y,z) = x^2y + z^3 and F=∇f\mathbf F = \nabla f. Evaluate ∫CF⋅dr\displaystyle\int_C \mathbf F\cdot d\mathbf r, where CC is any smooth path from (1,−1,2)(1,-1,2) to (2,1,1)(2,1,1).