# Incomplete elliptic integral of the 2nd kind E(x,k) Calculator

## Calculates the incomplete elliptic integral of the second kind E(x,k).

 $E(x,k)={\large\int_{\small 0}^{\hspace{25}\small x}\sqrt{\frac{1-k^2t^2}{1-t^2}}}dt$
 x -1≦x≦1 k -1≦k*x≦1 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
 $\normal Incomplete\ elliptic\ integral\\\hspace{120} of\ the\ 2nd\ kind\ E(x,k)\\[10](1)\ E(x,k)={\large\int_{\small 0}^{\hspace{25}\small x}\sqrt{\frac{1-k^2t^2}{1-t^2}}}dt\ ,\hspace{20}-1\le x\le1\\$
Incomplete elliptic integral of the 2nd kind E(x,k)
 [1-3] /3 Disp-Num5103050100200
[1]  2015/03/04 14:09   Male / 60 years old level or over / An engineer / Very /
Purpose of use
Solving mathematical functions
[2]  2009/04/03 09:06   Male / More than 60 / Others / Very /
Purpose of use
see below
Comment/Request
I found the calculations easy to do to check the accuracy of approximate equations for surface area of general ellipsoids. A nice improvement would be to carry over the x and k from F to E calculations so you don't have to enter x and k twice.
[3]  2009/03/26 09:25   Male / 50 level / A public employee / Very /
Purpose of use
Generate test data for an application I am building.
Comment/Request
Very useful site.

Sending completion

To improve this 'Incomplete elliptic integral of the 2nd kind E(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?