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→Volume integrals: Category
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]]