Study of Everything in Nature: Partial fraction decomposition

$\frac{f(x)}{(a_1 x+b_1)(a_2 x+b_2) \cdots (a_n x+b_n)} = \frac{A_1}{a_1 x+b_1} + \frac{A_2}{a_2 x+b_2} + \cdots + \frac{A_n}{a_n x+b_n}$

$\frac{ax^2 + bx + c}{(dx + e)(fx^2 + gx + h)} = \frac{A_1}{dx + e} + \frac{A_2 x + A_3}{fx^2 + gx + h}$

${p(x) \over (x+2)(x+3)^5}$ ${A \over x+2}+{B \over x+3}+{C \over (x+3)^2}+{D \over (x+3)^3}+{E \over (x+3)^4}+{F \over (x+3)^5}$

$\frac{1}{A \cdot B} = \frac{1}{B-A}\left(\frac{1}{A} - \frac{1}{B} \right)$

$\frac{1}{A \cdot B \cdot C} = \frac{1}{C-A}\left(\frac{1}{A \cdot B} - \frac{1}{B \cdot C} \right)$

[source]

http://ko.wikipedia.org/wiki/%EB%B6%80%EB%B6%84%EB%B6%84%EC%88%98

Study of Everything in Nature

페이지

Saturday, December 7, 2013

Partial fraction decomposition

Contact me via email

Translate

페이지

Saturday, December 7, 2013

Partial fraction decomposition

Contact me via email

RSS subsription

Translate