TEX sourceDERIVE source
This is an example of how the new Carlson elliptic integral works.
This was written by Jim FitzSimons cherry@neta.com.
From A&S page 614
F(ϕ,k) =
⌠ ⌡
ϕ
0
1
√
1−k2 sin(θ)2
dθ
F(50°,sin(40°))=0.91725487
DERIVE calculates this value with PrecisionDigits:=10.