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Calculus


IntegralRules of IntegrationApplications of Integration


GeometricalPhysical

Curve Length & PerimeterArea of Surface of Revolution

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 Approximation of Accumulative Physical Quantity
  Perimeter of a Semicircle

 Approximation of Accumulative Physical Quantity

Similarly to the length of a function, physical quantity related to the length of function can also be determine by integration when the physical qunatity can be expressed as infinitesimal elements.

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Perimeter of a Semicircle

The perimeter of a circle can be deterimine by intergration by calculating the curve length of a semicircle over the diameter of the circle.. For example, a semicircle y=(r2-x2)1/2 [-r,r]

Graphically,

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The perimeter of a semicircle is

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ID: 120100017 Last Updated: 1/14/2012 Revision: 0 Ref:

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References

  1. S. James, 1999, Calculus
  2. B. Joseph, 1978, University Mathematics: A Textbook for Students of Science & Engineering
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