Use the comparison theorem to determine whether the integral is convergent or divergent.

First, examine what happens over the integration domain.



is continuous for , so we don't need to worry about the right endpoint.

Now, note that



due to the fact that . So, if the larger integral converges, so must the smaller one. You have




so the larger integral converges. Therefore the smaller one does, too.

Im pretty sure it would be 6 purple rectangles.