Partial fractions for repeated linear factor for JEE

Formula

\[\frac{P(x)}{(x-a)^n}=\frac{A_1}{x-a}+\frac{A_2}{(x-a)^2}+\cdots+\frac{A_n}{(x-a)^n}\]

Variables: \(A_1,\dots,A_n\) are constants.

Conditions: Proper rational function; \(n\in\mathbb{N}\).

Rational function integration with repeated roots.