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Topic: Integration by disks


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 ipedia.com: Disk integration Article   (Site not responding. Last check: 2007-10-19)
In mathematics, in particular integral calculus, disk integration is a means of calculating the volume of a solid of revolution.
In mathematics, in particular integral calculus, disk integration (the "disk method") is a means of calculating the volume of a solid of revolution.
which is in turn multiplied by the disk's length (dx) or height (dy), that being some number approaching zero.
www.ipedia.com /disk_integration.html   (436 words)

  
 Integration by parts - Open Encyclopedia   (Site not responding. Last check: 2007-10-19)
In calculus, and more generally in mathematical analysis, integration by parts is a rule that transforms the integral of products of functions into other, possibly simpler, integrals.
The other two famous examples are when you take something which isn't a product as a product of 1 and itself, and use integration by parts.
Integration by parts follows from the product rule of differentiation: If the two continuously differentiable functions u(x) and v(x) are given, the product rule states that
open-encyclopedia.com /Integration_by_parts   (976 words)

  
 Read about Calculus at WorldVillage Encyclopedia. Research Calculus and learn about Calculus here!   (Site not responding. Last check: 2007-10-19)
The two concepts, differentiation and integration, define inverse operations in a sense made precise by the
Many of the functions that are integrated are rates, such as a speed.
If, for example, the pollution density along a river (tons per mile) is known in relation to the position, then the integral of that density can determine how much pollution there is in the whole length of the river.
encyclopedia.worldvillage.com /s/b/Calculus   (1600 words)

  
 Calculus at opensource encyclopedia   (Site not responding. Last check: 2007-10-19)
An integral may be defined as the limit of a sum of terms which correspond to areas under the graph of a function.
Considered as such, integration allows us to calculate the area under a curve and the surface area and volume of solids such as spheres and cones.
Abel seems to have been the first to consider in a general way the question as to what differential expressions can be integrated in a finite form by the aid of ordinary functions, an investigation extended by Liouville.
wiki.tatet.com /Calculus.html   (1768 words)

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