Carlson's Elliptic Integrals RF and RD
Let $x$, $y$, and $z$ be non-negative real numbers, this calculator evaluates two integrals.
- Carlson's elliptic integral $R_F$: \[ R_F(x,y,z)=\frac{1}{2}\int_0^\infty \frac{dt}{\sqrt{(t+x)(t+y)(t+z)}}\]
- Carlson's elliptic integral $R_D$: \[ R_D(x,y,z)=\frac{3}{2}\int_0^\infty \frac{dt}{\sqrt{(t+x)(t+y)}(t+z)^{\frac{3}{2}}}\]