1. The problem statement, all variables and given/known data Find the area enclosed by the equations: [itex]y=1/x[/itex] and [itex]y=1/x^2[/itex] and [itex]x=2[/itex] 2. Relevant equations N/A 3. The attempt at a solution So I solved this analytically after looking at a graph of the two functions. Using integrals I got the following: [itex]ln(2)-1/2[/itex] Which is the correct answer. I assumed the bounds of the integral were 0 as well as 2, due to the fact that I thought I'd get infinite area if I used the whole negative x-axis for a bound. My issue is that when I was solving analytically I got: [itex]-ln(0)-1/0[/itex] as the lower bound value I was subtracting from the upper bound of the integral. And while I just wrote it off as something I can omit from my answer (and got the right answer anyway), I can't help but feel I'm missing something conceptually from this problem. For instance, It seemed to me at first like [itex]y=1/x^2[/itex] should have been the top function and I should subtract the area of [itex]y=1/x[/itex]. But that is apparently not the case. And I'm also not sure how I can reasonably pick 0 as the lower bound of the integral when it's undefined in the answer I got. So where is my understanding failing me?