[Steps Shown] Let F=(z+y)i+(y+2x)j+zk and C be the closed line obtained intersecting the cylinder x^2+y^2=9 with the plane x + y + z = 1. Compute ∫_C_1F•
Question: Let \(\mathbf{F}=\left( z+y \right)\mathbf{i}+\left( y+2x \right)\mathbf{j}+z\mathbf{k}\) and C be the closed line obtained intersecting the cylinder \({{x}^{2}}+{{y}^{2}}=9\) with the plane x + y + z = 1. Compute \(\int\limits_{{{C}_{1}}}{\mathbf{F}\cdot dr}\)
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