If we integrate a vector field over a surface, [tex]\int_S \vec{F} \cdot \vec{dS}[/tex], we get the flux through that surface. What does it mean if the integrad were a vector instead, [tex]\int_S \vec{F} dS[/tex]? I can't picture the Riemann sum.(adsbygoogle = window.adsbygoogle || []).push({});

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Surface integral with vector integrand

**Physics Forums | Science Articles, Homework Help, Discussion**