Formula:7365

Digital Library of Mathematical Functions ID 19.29.E30

${\displaystyle{\displaystyle\int_{y}^{x}\frac{\mathrm{d}t}{\sqrt{Q(t^{2})}}=2R_{F}\left(U,U-g+2\sqrt{fh},U-g-2\sqrt{fh}\right),}}$

Symbols List

• ${\displaystyle{\displaystyle R_{F}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}$: symmetric elliptic integral of first kind
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle U}}$: U
• ${\displaystyle{\displaystyle Q(t^{2})}}$: Q ( t 2 )
• ${\displaystyle{\displaystyle f}}$: coefficient
• ${\displaystyle{\displaystyle g}}$: coefficient
• ${\displaystyle{\displaystyle h}}$: coefficient
 

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