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Flux Through a Sphere Using Gauss’ Theorem | ∬_S F · dS
In this video, we evaluate the surface integral ∬SF⋅dS for the vector field F= x^3+4y^3z, 3yz^2−sin⁡z, 3zy^2 , where S is the unit sphere x^2+y^2+z^2=1, oriented with outward normal. Instead of computing the flux directly, we apply Gauss’ Theorem (Divergence Theorem) to convert the surface integral into a triple integral over the unit ...
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