# 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:

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

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 $\sqrt {P \left({t}\right)}$.

## Pages in category "Definitions/Elliptic Integrals"

The following 30 pages are in this category, out of 30 total.

### C

### E

- Definition:Elliptic Integral
- Definition:Elliptic Integral of the First Kind
- Definition:Elliptic Integral of the First Kind/Complete
- Definition:Elliptic Integral of the First Kind/Complete/Definition 1
- Definition:Elliptic Integral of the First Kind/Complete/Definition 2
- Definition:Elliptic Integral of the First Kind/Incomplete
- Definition:Elliptic Integral of the First Kind/Incomplete/Amplitude
- Definition:Elliptic Integral of the First Kind/Incomplete/Definition 1
- Definition:Elliptic Integral of the First Kind/Incomplete/Definition 2
- Definition:Elliptic Integral of the Second Kind
- Definition:Elliptic Integral of the Second Kind/Complete
- Definition:Elliptic Integral of the Second Kind/Complete/Definition 1
- Definition:Elliptic Integral of the Second Kind/Complete/Definition 2
- Definition:Elliptic Integral of the Second Kind/Incomplete
- Definition:Elliptic Integral of the Second Kind/Incomplete/Definition 1
- Definition:Elliptic Integral of the Second Kind/Incomplete/Definition 2
- Definition:Elliptic Integral of the Third Kind
- Definition:Elliptic Integral of the Third Kind/Complete
- Definition:Elliptic Integral of the Third Kind/Complete/Definition 1
- Definition:Elliptic Integral of the Third Kind/Complete/Definition 2
- Definition:Elliptic Integral of the Third Kind/Incomplete
- Definition:Elliptic Integral of the Third Kind/Incomplete/Definition 1
- Definition:Elliptic Integral of the Third Kind/Incomplete/Definition 2