NSurfaceIntegrate
NSurfaceIntegrate[f, {x, y, ...} ∈ surface] computes the numerical scalar surface integral of the function f[x, y, ...] over the surface.
NSurfaceIntegrate[{p, q, ...}, {x, y, ...} ∈ surface]computes the numerical vector surface integral of the vector field {p[x, y, ...], q[x, y, ...], ...}.
Examples
NSurfaceIntegrate[1, {x, y, z} ∈ Sphere[]]NSurfaceIntegrate[x^2 + y^2, {x, y, z} ∈ Sphere[]]Please visit the official Wolfram Language Reference for more details.