x^3/(x^2+1)=(x^3+x-x)/(x^2+1)=(x^3+x)/(x^2+1)-x/(x^2+1)=x-x/(x^2+1)
I have a problem that i don't understand what the solutions manual did. I am learning as much calculus 2 over the summer as i can.
Here is the part where i am confused..
Then,
Finally
(using long division)
I am not sure how they got the answer by the steps. The first step is the most confusing. the second step i can see how they got it. Third step is confusing on how they got
.
The rest of it i understand.
Can anyone explain the first step and the third one?