Primitives of Rational Functions involving a x + b cubed

Theorem
This page gathers together the primitives of some rational functions involving $\paren {a x + b}^3$.

Also see

 * Primitives of Rational Functions involving $a x + b$
 * Primitives of Rational Functions involving $\paren {a x + b}^2$
 * Primitives of Rational Functions involving $\paren {a x + b}^n$