# Complete elliptic integral of first kind F(k)

`F(k) = \int_0^(pi/2) \ 1/sqrt(1-k^2*sin^2 theta) d theta` `-1<=k<=1`

This tool is a calculator of complete elliptic integral of first kind.

`F(k) = \int_0^(pi/2) \ 1/sqrt(1-k^2*sin^2 theta) d theta`

k : module or eccentricity ( -1 <= k <= 1)

## See also

### Incomplete Integral Calculators

Incomplete elliptic integral of first kind (`phi`)

Incomplete elliptic integral of first kind (`x`)

Incomplete elliptic integral of second kind (`phi`)

Incomplete elliptic integral of second kind (`x`)

Incomplete elliptic integral of third kind (`phi`)

Incomplete elliptic integral of third kind (`x`)

### Complete Integral Calculators

Complete elliptic integral of second kindComplete elliptic integral of third kind

### Other Calculators

Special functions Calculators

Mathématics Calculators