Partial Fractions

Rarely Tested
For rational functions $$ \frac{P(x)}{Q(x)} $$:
  • Linear factors: $$ \frac{A}{x-a} $$
  • Repeated linear: $$ \frac{A_1}{x-a} + \frac{A_2}{(x-a)^2} + \cdots $$
  • Quadratic factors: $$ \frac{Ax+B}{x^2+px+q} $$
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