Home/Calculus II/Repeated linear factors/For (x−r)m(x-r)^m(x−r)m, all terms are included:8.2. Repeated linear factorsFor (x−r)m(x-r)^m(x−r)m, all terms are included:In 8.2. Repeated linear factorsFormulaCopy LaTeXA1x−r+A2(x−r)2+⋯+Am(x−r)m.\frac{A_1}{x-r}+\frac{A_2}{(x-r)^2}+\cdots+\frac{A_m}{(x-r)^m}.x−rA1+(x−r)2A2+⋯+(x−r)mAm.Tagsantiderivativepartial fractionspartial fractions: repeated linear factorsfunctions rationalVariablesxxxVariable independiente (variable de integración)mmmExponente o índice enterorrrRadio o coordenada polarFound an error? Contact us.Related formulasRelatedFormulaP(x)Q(x)=A1x−r1+A2x−r2+⋯+Akx−rk.\frac{P(x)}{Q(x)} =\frac{A_1}{x-r_1}+\frac{A_2}{x-r_2}+\cdots+\frac{A_k}{x-r_k}.Q(x)P(x)=x−r1A1+x−r2A2+⋯+x−rkAk.Open formulaOpen in sectionRelatedFor x2+px+qx^2+px+qx2+px+q with negative discriminant:Ax+Bx2+px+q.\frac{Ax+B}{x^2+px+q}.x2+px+qAx+B.Open formulaOpen in section