Primitives of Rational Functions involving a x + b

Theorem
This page gathers together the primitives of some rational functions involving $a x + b$.

Also see

 * Primitives of Rational Functions involving $\left({a x + b}\right)^2$
 * Primitives of Rational Functions involving $\left({a x + b}\right)^3$
 * Primitives of Rational Functions involving $\left({a x + b}\right)^n$