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:
- $\ds F = \int \map f x \rd x$
Subcategories
This category has the following 10 subcategories, out of 10 total.
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Pages in category "Primitives of Hyperbolic Functions"
The following 15 pages are in this category, out of 15 total.
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- Primitive of Hyperbolic Cosecant Function
- Primitive of Hyperbolic Cosine Function
- Primitive of Hyperbolic Cotangent Function
- Primitive of Hyperbolic Secant Function
- 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 Cotangent Function
- Primitive of Square of Hyperbolic Secant Function
- Primitive of Square of Hyperbolic Sine Function
- Primitive of Square of Hyperbolic Tangent Function
- Primitives of Hyperbolic Functions