简述解题过程,望采纳;首先分母因式分解为(x+2)(x-1)后,原积分式子可变为8/3[1/(x+2)]+1/3[1/(x-1)]所以积分结果为8/3 In(x+2)+1/3 In(x-1)或者8/3 In|x+2|+1/3 In|x-1|
3x-2=3(x-1)+1x2+x-2=(x-1)(x+2)