# Complete elliptic integral of the 1st kind K(k) Calculator

## Calculates the complete elliptic integral of the first kind K(k).

 $K(k)={\large\int_{\small 0}^{\hspace{25pt}\frac{\pi}{2}}\frac{d\theta}{\sqrt{1-k^2sin^2\theta}}}$

 k -1≦k≦1 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
 $\normal Complete\ elliptic\ integral\\\hspace{120} of\ the\ 1st\ kind\ K(k)\\(1)\ K(k)={\large\int_{\small 0}^{\hspace{25pt}\frac{\pi}{2}}\frac{d\theta}{\sqrt{1-k^2sin^2\theta}}}\\\hspace{60}={\large\int_{\small 0}^{\hspace{25pt}\small 1}\frac{dt}{\sqrt{(1-t^2)(1-k^2t^2)}}}\\$

Complete elliptic integral of the 1st kind K(k)
 [1-10] /32 Disp-Num5103050100200
[1]  2018/12/10 13:42   Male / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
DSP HW
[2]  2018/10/22 17:11   Male / 20 years old level / An engineer / Very /
Purpose of use
Capacitance calculation.
[3]  2018/04/14 09:53   Male / Under 20 years old / High-school/ University/ Grad student / Useful /
Purpose of use
Used to calculate the theoretical period of a pendulum.
[4]  2017/05/11 23:05   Male / 20 years old level / A teacher / A researcher / Very /
Purpose of use
Calculation of demagnetizing factors.
[5]  2016/04/19 18:41   Female / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
Mutual- and self-inductance verification calculations
[6]  2015/10/12 19:07   Male / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
Nonlinear vibration
[7]  2015/05/19 11:42   Male / 50 years old level / A teacher / A researcher / Useful /
Purpose of use
Comparing with K implementation in Julia. (julialang.org).
[8]  2015/03/14 21:48   Male / 60 years old level or over / An engineer / Very /
Purpose of use
check calculation of subsidence around a depleting oil reservoir
[9]  2015/03/01 09:07   Male / 60 years old level or over / An engineer / Useful /
Purpose of use
Design of Coplanar Millimeterwave Transmission Lines
[10]  2015/02/06 00:34   Male / 60 years old level or over / A retired people / Useful /
Purpose of use
Retired Microbiologist with math as a hobby.

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