• If we are unable to evaluate an integral exactly, can we at least determine an approximate answer?
• Is there a way to integrate functions with vertical asymptotes and/or integrate functions on infinite domains instead of finite ones?

Along the way, we will study the idea of orders of growth, which is a way of thinking about functions which makes it much easier to evaluate limits than is possible with l’Hôpital’s rule. We will also study probability theory as an application of integration and see how these ideas all come together in this particular context.