DUTIS — Feynman’s Ingenious Integration Technique

I’ve recently found myself quite enamored by integrals and integration techniques. Amidst a plethora of unconventional techniques, I found myself vying with a particularly interesting one: DUTIS. Or, as it’s otherwise known, Richard Feynman’s Trick. What is DUTIS? Well, it’s short for Differentiating Under The Integral Sign. And, although it carries with it immense utility and power, it is hardly taught formally. So, here I am. Writing about it. Before we begin though, here’s a little history: although this trick is credited to Feynman, he wasn’t the one to develop it. As written in his autobiography ‘Surely You’re Joking, Mr. Feynman’, DUTIS is a technique he adopted from Advanced Calculus, a textbook by F. Woods. Who, I imagine, picked it up from someone else. In fact, the use of this technique dates as far back as Leibniz and is formally called the Leibniz Integral Rule. <a href="https://medium.com/quantaphy/dutis-feynmans-ingenious-integration-technique-4e8d56b312a5">Visit Now</a>