Category:Expressions whose Primitives are Inverse Hyperbolic Functions
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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 $\closedint a b$ 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 only the following subcategory.
Pages in category "Expressions whose Primitives are Inverse Hyperbolic Functions"
The following 4 pages are in this category, out of 4 total.
P
- 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 by Root of x squared plus a squared/Inverse Hyperbolic Sine Form