=∫(139×1x+2+73×1(x−1)2+149×1x−1=139.ln|x+2|−73(x−1)+149.ln|x−1|
$=\int (\frac{13}{9}\times \frac{1}{x+2}+\frac{7}{3}\times \frac{1}{(x-1)^2}+\frac{14}{9}\times \frac{1}{x-1})dx$$=\frac{13}{9}.ln\left| {x+2} \right|-\frac{7}{3(x-1)}+\frac{14}{9}.ln\left| {x-1} \right|$