The following is a list of indefinite integrals (antiderivatives) of expressions involving the inverse hyperbolic functions. For a complete list of integral formulas, see lists of integrals.
In all formulas the constant is assumed to be nonzero, and denotes the constant of integration. For each inverse hyperbolic integration formula below there is a corresponding formula in the list of integrals of inverse trigonometric functions. The ISO 80000-2 standard uses the prefix "ar-" rather than "arc-" for the inverse hyperbolic functions; we do that here.
Inverse hyperbolic sine integration formulas
Inverse hyperbolic cosine integration formulas
Inverse hyperbolic tangent integration formulas
Inverse hyperbolic cotangent integration formulas
Inverse hyperbolic secant integration formulas
Inverse hyperbolic cosecant integration formulas