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Elliptic integral
Special function defined by an integral
Elliptic integral
In integral calculus, an elliptic integral is one of a number of related functions defined as the value of certain integrals, which were first studied by Giulio Fagnano and Leonhard Euler (c. 1750). Their name originates from their connection with the problem of finding the arc length of an ellipse. Modern mathematics defines an "elliptic integral" as any function f which can be expressed in the form f ( x ) = ∫ c x R ( t , P ( t ) ) d t , {\displaystyle f(x)=\int _{c}^{x}R{\left({\textstyle...
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