Complete elliptic integral of 3d kind `Pi(k,n)`

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

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

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

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

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

Other Calculators

Special functions Calculators
Mathématics Calculators