Category:Elliptic Integrals

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This category contains results about Elliptic Integrals.
Definitions specific to this category can be found in Definitions/Elliptic Integrals.


An elliptic integral is an integral in the form:

$\displaystyle \int_0^x R \left({t, \sqrt {P \left({t}\right)} }\right) \rd t$

where:

$P \left({t}\right)$ is a polynomial of degree $3$ or $4$
$R \left({t, \sqrt {P \left({t}\right)} }\right)$ is a rational function of $t$ and $\sqrt {P \left({t}\right)}$.