Question

Evaluate ∫∫_s(yzi + zxj + xyk).ndS where S is the surface of the sphere x² + y² + z² = a² in the first octant.

Answer 1

The given surface is x² + y² + z² = a², we know that ∇φ is a vector normal to the surface φ (x, y, z) = c.

Taking φ (x, y, z) = x² + y² + z²

Comments

How to solve this same problem with Gauss Divergence theorem?