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Elliptic integral

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  1. They were first studied by Giulio Fagnano and Leonhard Euler

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 15, 2008
  2. In integral calculus, elliptic integrals originally arose in connection with the problem of giving the arc length of an ellipse

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 15, 2008
  3. Modern mathematics defines an elliptic integral as any function f which can be expressed in the form where R is a rational function of its two arguments, P is the square root of a polynomial of degree 3 or 4 with no repeated roots, and c is a constan

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 15, 2008
  4. In general, elliptic integrals cannot be expressed in terms of elementary functions

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 15, 2008
  5. Exceptions to this general rule are when P has repeated roots, or when R(x,y) contains no odd powers of y

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 15, 2008
  6. are often expressed as functions for a variety of different arguments

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 15, 2008
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