Incomplete elliptic integral of the 1st kind F(x,k)
Compute incomplete elliptic integral of the 1st kind F(x,k).
| \(F(x,k)={\large\int_{\small 0}^{\small x}\frac{dt}{\sqrt{(1-t^2)(1-k^2t^2)}}}\) |
| \(\normalsize Incomplete\ elliptic\ integral\\ \hspace{120px} of\ the\ 1st\ kind\ F(x,k)\\ (1)\ F(x,k)={\large\int_{\small 0}^{\small x}\frac{dt}{\sqrt{(1-t^2)(1-k^2t^2)}}}\\ \hspace{170px} -1\le x\le1\\\) |
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