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!

Sending completion

To improve this 'Incomplete elliptic integral of the 1st kind F(x,k) Calculator', please fill in questionnaire.
Male or Female ?
Male Female
Age
Under 20 years old 20 years old level 30 years old level
40 years old level 50 years old level 60 years old level or over
Occupation
Elementary school/ Junior high-school student
High-school/ University/ Grad student A homemaker An office worker / A public employee
Self-employed people An engineer A teacher / A researcher
A retired person Others
Useful?
Very Useful A little Not at All
Purpose of use?