# 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.

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