1. The problem statement, all variables and given/known data
The problem is to calculate integral [tex]\int_{0}^{\pi/2}\frac{dx}{\sqrt{\sin{x}}}[/tex] by transforming it into elliptical form (complete elliptical integral of first kind).
Thanks. I get it to the form [tex]2\int_{0}^{\pi/4}\frac{d\phi}{\sqrt{1-2(sin\phi)^{2}}}[/tex], which in my opinion equals [tex]2F(\sqrt{2},\pi/4)[/tex], but according to Mathematica, the answer is [tex]\sqrt{2}K(1/2)[/tex].
We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling We Value Civility
• Positive and compassionate attitudes
• Patience while debating We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving