# Incomplete elliptic integral of the 1st kind F(x,k) Calculator

## Calculates the incomplete elliptic integral of the first kind F(x,k).

 $F(x,k)={\large\int_{\small 0}^{\hspace{25}\small x}\frac{dt}{\sqrt{(1-t^2)(1-k^2t^2)}}}$

 x -1≦x≦1 k -1≦k*x≦1 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
 $\normal Incomplete\ elliptic\ integral\\\hspace{120} of\ the\ 1st\ kind\ F(x,k)\\[10](1)\ F(x,k)={\large\int_{\small 0}^{\hspace{25}\small x}\frac{dt}{\sqrt{(1-t^2)(1-k^2t^2)}}}\\\hspace{170} -1\le x\le1\\$

Incomplete elliptic integral of the 1st kind F(x,k)
 [1-3] /3 Disp-Num5103050100200
[1]  2017/06/07 17:32   Male / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
Scilab2c toolkit
Bug report
What if x>1 , since in scilab the function returns complex value for x>1
[2]  2012/08/11 05:38   Male / 40 years old level / A teacher / A researcher / Very /
Purpose of use
Comparison of my own C# library, which is based on Carlson elliptic integrals as well as Landen's transformation.
Comment/Request
I have tested several values but I haven't found any bug.
[3]  2009/03/09 05:17   Male / 50 level / A researcher / Very /
Purpose of use
Compare and debug numerical routines
Comment/Request
Very useful resource!

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