Just got into improper integrals, in my Calculus 2 class. We're looking to see if the integral converges or diverges. 1. The problem statement, all variables and given/known data The integral given: ∫(dt/(t+1)^2) on the interval from -1 to 5 2. Relevant equations uhhh... 3. The attempt at a solution Took the limit as "a" goes to -1. Did a simple u substitution with u=t+1, so that du=dt. So, you're left with (du/u^2) The integral of that is -(1/u) meaning -(1/(t+1)) Then I used the fundamental theorem of calculus by evaluating the integral from 5 to "a". That looks like: -(1/(5+1)) - (1/(a+1)) Basically, I have no clue if I'm doing this right. According to the back of the book, it diverges. But I have no idea how to see that. Any help would be appreciated. Thanks.