Incomplete elliptic integral of first kind F(`phi`,k)

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

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

`F(phi,k) = \int_0^phi \ 1/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 first kind (x)

See also