Integrating with Partial Fractions (Edexcel A-Level Further Mathematics): Flashcards

Decompose complex rational expressions into simpler fractions

Linear or irreducible quadratic terms

Decompose, determine constants, integrate each term

$\frac{A}{x-a} + \frac{B}{x-b}$

$\frac{A}{x-a} + \frac{B}{(x-a)^2}$

$\frac{Ax+B}{x^2+1}$

$\ln|x| + C$

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

$\frac{1}{2} \ln(x^2+a^2) + C$

Missing the constant of integration $+C$