Integrals are tougher than that. It doesn't have to exist, it just has to converge.

IF it converges. This one does. It works either way.

Try limits [1,2] just for practice.

Try limits [0.5,1] just for fun.

Try limits [0.25,0.5] for kicks and jollies.

Try limits [0.1,0.25] for further enjoyment

Try limits [0.01,0.1] They should all come out finite.

Thought question. If you are trying to evaluate an integral on [0,2], and you decide to break it up into two chunks, [0,1],[1,2] aren't you counting x = 1 TWICE?!