Category:Primitives of Rational Functions
Jump to navigation
Jump to search
This category contains results about Primitives of Rational 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 8 subcategories, out of 8 total.
P
Pages in category "Primitives of Rational Functions"
The following 15 pages are in this category, out of 15 total.
P
- Primitives involving a squared minus x squared
- Primitives involving a squared minus x squared squared
- Primitives involving a x squared plus b x plus c
- Primitives involving Power of a squared minus x squared
- Primitives involving Power of x squared minus a squared
- Primitives involving Power of x squared plus a squared
- Primitives involving x squared minus a squared
- Primitives involving x squared minus a squared squared
- Primitives involving x squared plus a squared
- Primitives involving x squared plus a squared squared
- Primitives of Functions involving a x + b and p x + q
- Primitives of Rational Functions involving a x + b
- Primitives of Rational Functions involving a x + b cubed
- Primitives of Rational Functions involving a x + b squared
- Primitives of Rational Functions involving Power of a x + b