CommandsEllipticEOn this pageEllipticE EllipticE (x) The EllipticE function returns the complete elliptic integral of the second kind, E(k)=∫011−k2t2dt1−t2\displaystyle E(k)=\int_{0}^{1} \frac{\sqrt{1-k^{2} t^{2}} d t}{\sqrt{1-t^{2}}}E(k)=∫011−t21−k2t2dt with ∣k∣≤1.\displaystyle |k| \leq 1 .∣k∣≤1. See Also EllipticK, GeometricMean, JacobiCn, JacobiSn