**1)**
**The notations**

**2)
Definitions
**

**3)**
**Derivatives
of inverse hyperbolic functions**

**4)
****Indefinite
integrals **

**
1) The notations**

For inverse hyperbolic
functions, the notations sinh^{-1}
and cosh^{-1}
are often used for arcsinh
and arccosh,
etc. When this notation is used, the
inverse functions are sometimes confused
with the multiplicative inverses of
the functions. The notation using the
"arc-" prefix avoids such
confusion.

The inverse hyperbolic
functions are the multivalued function
that are the inverse functions of the
hyperbolic functions.

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**
2) Definitions**

The inverse hyperbolic
functions may be expressed using natural
logarithms.

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**
3) Derivatives of inverse hyperbolic
functions **

arcsinh(*z*)
=

arccosh(*z*)
=

arctanh(*z*)
=

arccoth(*z*)
=

arccsch(*z*)
= -

arcsech(*z*)
= -

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**
4) Indefinite integrals**

by
Tetyana Butler