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GATE ME 2017 Set 2 — Question 26

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NAT+1 / -0MediumLine, Surface & Volume IntegralsVector CalculusEngineering MathematicsGauss Divergence Theorem

Engineering Mathematics → Vector Calculus → Gauss Divergence Theorem

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The surface integral ∬SF⋅n dS\iint_S \mathbf{F} \cdot \mathbf{n} \, dS over the surface SS of the sphere x2+y2+z2=9x^2 + y^2 + z^2 = 9, where F=(x+y)i+(x+z)j+(y+z)k\mathbf{F} = (x+y)\mathbf{i} + (x+z)\mathbf{j} + (y+z)\mathbf{k} and n\mathbf{n} is the unit outward surface normal, yields _________
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