Meaning of surface integral

sur'face in"tegral

Pronunciation: [key]
— Math. Math.
  1. the limit, as the norm of the partition of a given surface into sections of area approaches zero, of the sum of the product of the areas times the value of a given function of three variables at some point on each section.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.