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

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

\operatorname {sinh} \ x={{e^{x}-e^{-x}} \over 2}\,} tgh ⁡   x = sinh ⁡   x cosh ⁡   x {\displaystyle \operatorname {tgh} \ x={\operatorname {sinh} \ x \over \operatorname…