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

Fraction with polynomial num. & denom.

Degree of $f(x)$ $\geq$ degree of $g(x)$

Linear (degree 1)

$Ax+B$

$x^2+5$

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

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

Only if all parts converge

Where denominator equals zero

If fraction is improper