Question

find integration of x^2/(x-1)^3.(x+1)​

Answer 1

Answer:

∫(x−1)(x−2)(x−3)3x−1dx

(x−1)(x−2)(x−3)3x−1=x−1a+x−2b+x−bc

a=(1−2)(1−3)3(1)−1=−1(−2)2=1

b=(2−1)(2−3)3(2)−1=−15=−5

c=(3−1)(3−2)3(3)−1=2×18=4

=x−11−x−25+x−34

∫