We are about to embark on a very fun proof of the fact that two different-looking solutions to an integral are indeed the same. This is going to get very technical, especially in the back half, but it requires no knowledge other than basic integral calculus and some algebra. Before getting to it, it is my obligation to plug our recent book, "100 integrals, part 1", which is a pretty sleek (if we say so ourselves) integral work book. You can also just go check out all the solutions here.
And now, let's do some math...
