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1{\mbox{)}}} ∫ ctgh n ⁡ c x d x = − 1 c ( n − 1 ) ctgh n − 1 ⁡ c x + ∫ ctgh n − 2 ⁡ c x d x (dla  n ≠ 1 ) {\displaystyle \int \operatorname {ctgh} ^{n}cx\,dx=-{\frac…

dx=\ln |\operatorname {cosh} \ x|+C} ∫ ctgh ⁡   x   d x = ln ⁡ | sinh ⁡   x | + C {\displaystyle \int \operatorname {ctgh} \ x\ dx=\ln |\operatorname {sinh}…

x}}={\tfrac {4}{(e^{x}+e^{-x})^{2}}}\,} ctgh ⁡   x = cosh ⁡   x sinh ⁡   x {\displaystyle \operatorname {ctgh} \ x={\frac {\operatorname {cosh} \ x}{\operatorname…