# Incomplete elliptic integral of the 2nd kind E(φ,k) Calculator

## Calculates the incomplete elliptic integral of the second kind E(φ,k).

 $E(\phi,k)={\large\int_{\small 0}^{\hspace{25}\small\phi}\sqrt{1-k^2sin^2\theta}}d\theta$
φ
 -1≦k≦1
 6dgt10dgt14dgt18dgt22dgt26dgt30dgt34dgt38dgt42dgt46dgt50dgt

 ・ E(x,k) can be used at x=sin(φ).$\normal Incomplete\ elliptic\ integral\\\hspace{120} of\ the\ 2nd\ kind\ E(\phi,k)\\[10](1)\ E(\phi,k)={\large\int_{\small 0}^{\hspace{25}\small\phi}\sqrt{1-k^2sin^2\theta}}d\theta\\\hspace{75}={\large\int_{\small 0}^{\hspace{25}\small x}\sqrt{\frac{1-k^2t^2}{1-t^2}}}dt\ ,\hspace{30}x=sin\phi\\$

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