Formula:7802

Digital Library of Mathematical Functions ID 22.15.E14

${\displaystyle{\displaystyle\operatorname{arcdn}\left(x,k\right)=\int_{x}^{1}\frac{\mathrm{d}t}{\sqrt{(1-t^{2})(t^{2}-{k^{\prime}}^{2})}},}}$

Constraint(s)

${\displaystyle{\displaystyle k^{\prime}\leq x\leq 1}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\operatorname{arcdn}\left(\NVar{x},\NVar{k}\right)}}$:
• ${\displaystyle{\displaystyle x}}$: real
• ${\displaystyle{\displaystyle k}}$: modulus
• ${\displaystyle{\displaystyle k^{\prime}}}$: complementary modulus
 

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