# Category:Expressions whose Primitives are Inverse Hyperbolic Functions

This category contains results about primitives in the context of Inverse Hyperbolic Functions.

Let $F$ be a real function which is continuous on the closed interval $\left[{a \,.\,.\, b}\right]$ and differentiable on the open interval $\left({a \,.\,.\, b}\right)$.

Let $f$ be a real function which is continuous on the open interval $\left({a \,.\,.\, b}\right)$.

Let:

- $\forall x \in \left({a \,.\,.\, b}\right): F' \left({x}\right) = f \left({x}\right)$

where $F'$ denotes the derivative of $F$ with respect to $x$.

Then $F$ is **a primitive of $f$**, and is denoted:

- $\displaystyle F = \int f \left({x}\right) \, \mathrm d x$

## Pages in category "Expressions whose Primitives are Inverse Hyperbolic Functions"

The following 5 pages are in this category, out of 5 total.

### P

- Primitive of Reciprocal of a squared minus x squared/Inverse Hyperbolic Tangent Form
- Primitive of Reciprocal of Root of x squared minus a squared/Inverse Hyperbolic Cosine Form
- Primitive of Reciprocal of x by Root of a squared minus x squared/Inverse Hyperbolic Secant Form
- Primitive of Reciprocal of x by Root of x squared plus a squared/Inverse Hyperbolic Cosecant Form
- Primitive of Reciprocal of x squared minus a squared/Inverse Hyperbolic Cotangent Form