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

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

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