Question

I'm trying to figure out an improper integral question. Can someone explain this one step to me?

\[\int^3_1 \frac{x^2+2x+3}{x(x-1)^2}\text{d}x\]

Answer 1

this is the solution

Answer 2

help please in my question

Answer 3

it starts with sussanah

Answer 4

my questions is what is happening on the second line?

my prof uses this method in another question. what is the significance of that limit equaling one?

Answer 5

and I think there is a typo, but even with the proper limit (which does equal one) I don't see what he is doing.

Answer 6

A plot is attached.

Answer 7

thanks. I understand that it is improper at x=1. I don't understand what is happening in the second line of the solution.