## Help101 5 years ago How do you integrate ((x^2)-x)/((x-1)^4)

1. anonymous

i can help

2. anonymous

$(x^2 - x)/(x-1)^4$

3. anonymous

so you want to integrate this?

4. anonymous

the numerator can be viewed as $(x^2-x) = x*(x-1)$

5. anonymous

so $( x*(x-1) )/ ((x-1)^4)$

6. anonymous

now use substitution: $u = x -1, x = u + 1, du=dx$

7. anonymous

now you go from trying to find the integral of $\int\limits_{}^{}(x^2 - x) / (x-1)^4 dx$ to $\int\limits_{}^{} (u+1)/u^3 du$

8. anonymous

so this one is easier, integrate this, then use the substitution relationship you established earlier and convert your solution to one in terms of x