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added example for surface integral
Surface integrals are typically calculated by performing double integrals over two orthogonal coordinates.
Surface integrals are typically calculated by performing double integrals over two orthogonal coordinates.
=== Example ===
Calculate the surface integral of ''f(x,y)'' as the square root of ''x<sup>2</sup> + y<sup>2</sup>'' over an ''xy''-planar region ''S'' bounded by ''x<sup>2</sup> + y<sup>2</sup> = 64'':
:<math>\iint_S f(x,y)\, dx\, dy </math>
== Volume integrals==
== Volume integrals==
The volume integral of a vector or non-vector function is simply the triple integral of the function over the orthogonal coordinates of the space. It is useful in physics and mechanical engineering and plays a key role in the [[Divergence Theorem]].
The volume integral is also known as the "space integral."
[[Category:vector analysis]]
[[Category:vector analysis]]
[[Category:calculus]]
[[Category:calculus]]
[[Category:mathematics]]
[[Category:mathematics]]