Incomplete elliptic integral of second kind E(`phi`,k)
`E(phi,k) = \int_0^phi \ sqrt(1-k^2*sin^2 theta) d theta` `-1<=k<=1`
This tool is a calculator of incomplete elliptic integral of second kind.
`E(phi,k) = \int_0^phi \ sqrt(1-k^2*sin^2 theta) d theta`
`phi` : amplitude
k : module or eccentricity ( -1 <= k <= 1)
By substituting `x = sin(phi)` and `t = sin(theta)`, we obtain another form of the same function :
Incomplete elliptic integral of second kind (x)
See also
Incomplete Integral Calculators
incomplete elliptic integral of first kind (`phi`)incomplete elliptic integral of first kind (`x`)
incomplete elliptic integral of third kind (`phi`)
incomplete elliptic integral of third kind (`x`)
Complete Integral Calculators
Complete elliptic integral of first kindComplete elliptic integral of second kind
Complete elliptic integral of third kind
Other Calculators
Special functions Calculators
Mathématics Calculators