Partial fractions for repeated irreducible quadratic factor for JEE

Formula

\[\frac{P(x)}{(x^2+px+q)^n}=\frac{A_1x+B_1}{x^2+px+q}+\frac{A_2x+B_2}{(x^2+px+q)^2}+\cdots+\frac{A_nx+B_n}{(x^2+px+q)^n}\]

Variables: \(A_i,B_i\) are constants.

Conditions: Proper rational function; quadratic irreducible over reals.

Advanced partial fraction decomposition.