Category:Integration by Partial Fractions
Jump to navigation
Jump to search
This category contains pages concerning Integration by Partial Fractions:
Let $\map R x = \dfrac {\map P x} {\map Q x}$ be a rational function over $\R$ such that the degree of the polynomial $P$ is strictly smaller than the degree of the polynomial $Q$.
Consider the primitive:
- $\ds \int \map R x \rd x$
Let $\map R x$ be expressible by the partial fractions expansion:
- $\map R x = \ds \sum_{k \mathop = 0}^n \dfrac {\map {p_k} x} {\map {q_k} x}$
where:
- each of the $\map {p_k} x$ are polynomial functions
- the degree of $\map {p_k} x$ is strictly less than the degree of $\map {q_k} x$ for all $k$.
Then:
- $\ds \int \map R x \rd x = \sum_{k \mathop = 0}^n \int \dfrac {\map {p_k} x} {\map {q_k} x} \rd x$
This technique is known as Integration by Partial Fractions.
Subcategories
This category has only the following subcategory.
Pages in category "Integration by Partial Fractions"
This category contains only the following page.