The most difficult part of using partial fractions to integrate a function with a general denominator such as:
dxax5+bx4+cx3+dx2+ex+f\displaystyle \int\frac{{\left.{d}{x}\right.}}{{{a}{x}^{{5}}+{b}{x}^{{4}}+{c}{x}^{{3}}+{\left.{d}{x}\right.}^{{2}}+{e}{x}+{f}}}
is: