Category:Definitions/Elliptic Integrals

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This category contains definitions related to Elliptic Integrals.
Related results can be found in Category:Elliptic Integrals.


An elliptic integral is an integral in the form:

$\ds \int_0^x \map R {t, \sqrt {\map P t} } \rd t$

where:

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