Formula:7783

Digital Library of Mathematical Functions ID 22.14.E15

${\displaystyle{\displaystyle\int\frac{\operatorname{cn}\left(x,k\right)\mathrm{d}x}{{\operatorname{sn}^{2}}\left(x,k\right)}=-\frac{\operatorname{dn}\left(x,k\right)}{\operatorname{sn}\left(x,k\right)}.}}$

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

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