# Complete elliptic integral K(k),E(k) (chart) Calculator

## Calculates a table of the complete elliptic integrals of the first kind K(k) and second kind E(k) and draws the chart.

initial value k
 -1≦k≦1
[ increment
 repetition ]

k K(k) E(k)

 $\normal Complete\ elliptic\ integrals\ of\\\ the\ 1st\ kind\ K(k)\ and\ 2nd\ kind\ E(k)\\[10](1)\ K(k)={\large\int_{\small 0}^{\hspace{25}\small 1}\frac{dt}{\sqrt{(1-t^2)(1-k^2t^2)}}}\\(2)\ E(k)={\large\int_{\small 0}^{\hspace{25}\small 1}\sqrt{\frac{1-k^2t^2}{1-t^2}}}dt\\$

To improve this library, please fill in questionnaire.

Gender
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 Others
Useful?
Very A little Not at All
Purpose of use?