Slijedi popis integrala (antiderivacija funkcija) inverznih (area) hiperbolnih funkcija. Za potpun popis integrala funkcija, pogledati tablicu integrala i popis integrala. ∫ Arsh x c d x = x Arsh x c − x 2 + c 2 + C {\displaystyle \int \operatorname {Arsh} {\frac {x}{c}}\,dx=x\,\operatorname {Arsh} \,{\frac {x}{c}}-{\sqrt {x^{2}+c^{2}}}+C} ∫ Arch x c d x = x Arch x c − x 2 − c 2 + C {\displaystyle \int \operatorname {Arch} {\frac {x}{c}}\,dx=x\,\operatorname {Arch} \,{\frac {x}{c}}-{\sqrt {x^{2}-c^{2}}}+C} ∫ Arth x c d x = x Arth x c + c 2 ln | c 2 − x 2 | + C (za | x | < | c | ) {\displaystyle \int \operatorname {Arth} {\frac {x}{c}}\,dx=x\,\operatorname {Arth} \,{\frac {x}{c}}+{\frac {c}{2}}\ln |c^{2}-x^{2}|+C\qquad {\mbox{(za }}|x|<|c|{\mbox{)}}} ∫ Arcth x c d x = x Arcth x c + c 2 ln | x 2 − c 2 | + C (za | x | > | c | ) {\displaystyle \int \operatorname {Arcth} {\frac {x}{c}}\,dx=x\,\operatorname {Arcth} \,{\frac {x}{c}}+{\frac {c}{2}}\ln |x^{2}-c^{2}|+C\qquad {\mbox{(za }}|x|>|c|{\mbox{)}}} ∫ Arsech x c d x = x Arsech x c − c a r c t a n x c − x c + x x − c + C (za x ∈ ( 0 , c ) ) {\displaystyle \int \operatorname {Arsech} {\frac {x}{c}}\,dx=x\,\operatorname {Arsech} \,{\frac {x}{c}}-c\,\mathrm {arctan} \,{\frac {x\,{\sqrt {\frac {c-x}{c+x}}}}{x-c}}+C\qquad {\mbox{(za }}x\in (0,\,c){\mbox{)}}} ∫ Arcosech x c d x = x Arcosech x c + c ln x + x 2 + c 2 c + C (za x ∈ ( 0 , c ) ) {\displaystyle \int \operatorname {Arcosech} {\frac {x}{c}}\,dx=x\,\operatorname {Arcosech} \,{\frac {x}{c}}+c\,\ln \,{\frac {x+{\sqrt {x^{2}+c^{2}}}}{c}}+C\qquad {\mbox{(za }}x\in (0,\,c){\mbox{)}}} Wikiwand in your browser!Seamless Wikipedia browsing. On steroids.Every time you click a link to Wikipedia, Wiktionary or Wikiquote in your browser's search results, it will show the modern Wikiwand interface.Wikiwand extension is a five stars, simple, with minimum permission required to keep your browsing private, safe and transparent.Wikiwand for ChromeWikiwand for EdgeWikiwand for Firefox
Every time you click a link to Wikipedia, Wiktionary or Wikiquote in your browser's search results, it will show the modern Wikiwand interface.Wikiwand extension is a five stars, simple, with minimum permission required to keep your browsing private, safe and transparent.