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[Solved] Evaluate the surface integral of vector field F(x, y, z)=x \vecimath+y \vecjmath+(x+y) \veck over the portion S of the paraboloid z=x^2+y^2 lying

Question: Evaluate the surface integral of vector field $\vec{F}(x, y, z)=x \vec{\imath}+y \vec{\jmath}+(x+y) \vec{k}$ over the portion $S$ of the paraboloid $z=x^{2}+y^{2}$ lying above the disk $x^{2}+y^{2} \leq 1 .$ Use outward pointing normals.

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[Solved] Evaluate the surface integral of vector field F(x, y, z)=x \vecimath+y \vecjmath+(x+y) \veck over the portion S of the paraboloid z=x^2+y^2 lying

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