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In calculus, the integral of a function of several variables calculated over a surface. For functions of a single variable, definite integrals are calculated over intervals on the x-axis and result in areas. For functions of two variables, the simplest double integrals are calculated over rectangular regions and result in volumes. More generally, an integral calculated over a plane or curved surface results in a surface integral representing a volume, though it also has many nongeometric applications.
This entry comes from Encyclopædia Britannica Concise. For the full entry on surface integral, visit Britannica.com.
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