# Complete elliptic integral of the 2nd kind E(k) Calculator

## Calculates the complete elliptic integral of the second kind E(k).

 $E(k)={\large\int_{\small 0}^{\hspace{25pt}\frac{\pi}{2}}\sqrt{1-k^2sin^2\theta}}d\theta$
 k -1≦k≦1 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
 $\normal Complete\ elliptic\ integral\\\hspace{120} of\ the\ 2nd\ kind\ E(k)\\(1)\ E(k)={\large\int_{\small 0}^{\hspace{25pt}\frac{\pi}{2}}\sqrt{1-k^2sin^2\theta}}d\theta\\\hspace{60}={\large\int_{\small 0}^{\hspace{25}\small 1}\sqrt{\frac{1-k^2t^2}{1-t^2}}}dt\\$
Complete elliptic integral of the 2nd kind E(k)
 [1-10] /18 Disp-Num5103050100200
[1]  2017/12/16 00:25   - / 60 years old level or over / Self-employed people / Very /
Purpose of use
Calculate eccentricity, k, of an ellipse for which "Pi" = 3, i.e. E(k)=1.5.
[2]  2017/02/01 16:10   Male / 60 years old level or over / Others / Very /
Purpose of use
Evaluations of elliptic integrals are very important in Mathematics,Physics and all sciences.
[3]  2017/01/03 06:10   Male / Under 20 years old / Elementary school/ Junior high-school student / Useful /
Purpose of use
Researching on vivani curve
[4]  2015/09/18 23:48   Male / 30 years old level / An engineer / Very /
Purpose of use
[5]  2015/06/14 17:37   Male / 60 years old level or over / Others / Very /
Purpose of use
TO USE FOR SURVEYING PURPOSES.
[6]  2015/05/08 03:34   Male / 60 years old level or over / A retired people / Very /
Purpose of use
research into perimeter of an ellipse.
[7]  2015/01/28 19:48   Male / 30 years old level / High-school/ University/ Grad student / Very /
Purpose of use
Checking boost implementation was working correctly.
[8]  2014/12/10 05:48   Male / 60 years old level or over / An engineer / Very /
Purpose of use
Check accuracy of approximate expression for use in excel
[9]  2014/09/15 02:41   Male / 60 years old level or over / A teacher / A researcher / Very /
Purpose of use
Calculate magnet field
[10]  2014/05/18 07:25   - / Under 20 years old / Elementary school/ Junior high-school student / Very /
Comment/Request
I am wondering how to combine this with a modular model.

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