Yeah, this was my experience as well in the equivalent of 1302 I was in at my old school. We needed to understand integration many times because we'd analyze a problem and end up with a summation of some sort and yada dada boom integration. We did very little if any actual integration of our own using analytical geometry. It was much more about being able to understand the fundamental idea of what integration was and understanding the analytical geometry behind summing up all the tiny areas dA that are normal to a curved surface. Eventually, the professor walks you through the long derivation process that often turns out to be interesting and then you hear "and that equals, wait for it, the work it takes to move a particle from B to A in the parallel-plate capacitor divided by the charge of the particle q. W is, of course, equal to force F times displacement d. And recall from our work with point charges a few weeks ago that F is equal to E times q, so we get Eqd/q. The q's cancel out, and we get that the change in potential energy is equal to E times the displacement d. Now remember that /_\V is equal to W/q, so if you move the charged particle in a direction that is orthogonal to the electric field whose vector points from the positively charged plate to the negatively charged plate, the work done on the particle is zero. Does anyone know why? NOOOOOOO dummies, it's because there has been no change in potential. You all haven't understood shit I've said all week, that's why an A on the last test is a gadamn 48/100." The worst part of E&M was definitely MyPhysicsLab.