# Incomplete elliptic integral of the 3rd kind Π(x,n,k) Calculator

## Calculates the incomplete elliptic integral of the third kind Π(x,n,k).

 $\Pi(x,n,k)={\large\int_{\small 0}^{\hspace{25}\small x}\frac{dt}{(1-nt^2)\sqrt{(1-t^2)(1-k^2t^2)}}}$
 x -1≦x≦1 n k -1≦k*x≦1 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
 $\normal Incomplete\ elliptic\ integral\\\hspace{100} of\ the\ 3rd\ kind\ \Pi(x,n,k)\\[10](1)\ \Pi(x,n,k)={\large\int_{\small 0}^{\hspace{25}\small x}\frac{dt}{(1-nt^2)\sqrt{(1-t^2)(1-k^2t^2)}}}\\\hspace{220}-1\le x\le1\\$
Incomplete elliptic integral of the 3rd kind Π(x,n,k)
 [1-1] /1 Disp-Num5103050100200
[1]  2014/09/09 03:23   Male / 60 years old level or over / Others / - /
Purpose of use
rigid body dynamics

Sending completion

To improve this 'Incomplete elliptic integral of the 3rd kind Π(x,n,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?