# Category:Primitives of Hyperbolic Functions

This category contains results about primitives in the context of 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:

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

## Subcategories

This category has the following 6 subcategories, out of 6 total.

### P

## Pages in category "Primitives of Hyperbolic Functions"

The following 23 pages are in this category, out of 23 total.

### P

- Primitive of Hyperbolic Cosecant Function
- Primitive of Hyperbolic Cosecant Function/Inverse Hyperbolic Cotangent Form
- Primitive of Hyperbolic Cosecant Function/Logarithm Form
- Primitive of Hyperbolic Cosecant Function/Logarithm Form/Corollary
- Primitive of Hyperbolic Cosine Function
- Primitive of Hyperbolic Cotangent Function
- Primitive of Hyperbolic Secant Function
- Primitive of Hyperbolic Secant Function/Arcsine Form
- Primitive of Hyperbolic Secant Function/Arctangent Form
- Primitive of Hyperbolic Secant Function/Arctangent of Hyperbolic Sine Form
- Primitive of Hyperbolic Sine Function
- Primitive of Hyperbolic Tangent Function
- Primitive of Product of Hyperbolic Cosecant and Cotangent
- Primitive of Product of Hyperbolic Secant and Tangent
- Primitive of Square of Hyperbolic Cosecant Function
- Primitive of Square of Hyperbolic Cosine Function
- Primitive of Square of Hyperbolic Cosine Function/Corollary
- Primitive of Square of Hyperbolic Cotangent Function
- Primitive of Square of Hyperbolic Secant Function
- Primitive of Square of Hyperbolic Sine Function
- Primitive of Square of Hyperbolic Sine Function/Corollary
- Primitive of Square of Hyperbolic Tangent Function
- Primitives of Hyperbolic Functions