I remember the first time we saw the integral was in physics C. It was extremely intimidating because we struggled to make sense of the differential equations, let alone evaluating the integral itself. The very first problem we got, we were spoon-fed the fact that the integral of (du/u) was equal to ln(u)+C, and that made absolutely no sense to me. Now, into the third quarter and after attending the calculus school of hard knocks both 2nd and 3rd period every day, i think its is safe to say that questions that require differentiation and integration are among the easiest and sought after questions. We chomp at the bit when they ask us to differentiate velocity as a function and get acceleration because we are strong at evaluating them now! Props to our teachers and everyone's rigorous efforts to get this new addition to our math vocabulary down!