# Category:Definitions/Elliptic Integrals

$\displaystyle \int_0^x R \left({t, \sqrt {P \left({t}\right)} }\right) \rd t$
$P \left({t}\right)$ is a polynomial of degree $3$ or $4$
$R \left({t, \sqrt {P \left({t}\right)} }\right)$ is a rational function of $t$ and $\sqrt {P \left({t}\right)}$.