Partial Fractions (AQA A-Level Further Maths): Flashcards

Breaks complex rational functions into simpler fractions

Fraction where numerator and denominator are polynomials

Degree of numerator $geq$ degree of denominator

$Ax+B$, not just a constant

Quadratic that cannot be factorised (no real roots)

Multiply by common denominator, compare coefficients

Where denominator equals zero

Only converges if all parts converge

$\frac{1}{a}\ln|ax+b| + c$

$\frac{1}{a}\arctan(\frac{x}{a}) + c$