Formula:7770

Digital Library of Mathematical Functions ID 22.14.E2

${\displaystyle{\displaystyle\int\operatorname{cn}\left(x,k\right)\mathrm{d}x=k^{-1}\operatorname{Arccos}\left(\operatorname{dn}\left(x,k\right)\right),}}$

Symbols List

• ${\displaystyle{\displaystyle\operatorname{cn}\left(\NVar{z},\NVar{k}\right)}}$: Jacobian elliptic function
• ${\displaystyle{\displaystyle\operatorname{dn}\left(\NVar{z},\NVar{k}\right)}}$: Jacobian elliptic function
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\operatorname{Arccos}\NVar{z}}}$: general arccosine function
• ${\displaystyle{\displaystyle x}}$: real
• ${\displaystyle{\displaystyle k}}$: modulus
 

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