Partial fractions for distinct linear factors for JEE

Formula

\[\frac{P(x)}{(x-a)(x-b)}=\frac{A}{x-a}+\frac{B}{x-b}\]

Variables: \(P(x)\) is a polynomial of lower degree than denominator; \(A,B\) constants.

Conditions: \(a\neq b\); proper rational function.

Integration of rational functions.