# Category:Primitives of Hyperbolic Functions

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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 $\closedint a b$ and differentiable on the open interval $\openint a b$.

Let $f$ be a real function which is continuous on the open interval $\openint a b$.

Let:

- $\forall x \in \openint a b: \map {F'} x = \map f x$

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

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

- $\displaystyle F = \int \map f x \rd x$

## 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