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Another kind of integration

Calculate the integral of the following differential form: \[w(x,y,z) = \frac{ x \space dy \wedge dz + y \space dz \wedge dx +z \space dx \wedge dy}{(x^2 + y^2 + z^2)^{\frac{3}{2}}}\] over the surface of the sphere with center \((0, 0, 0)\) and radius \(r\), oriented with the outer normal.

Note by Guillermo Templado
4 months ago

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