how Richard Feynman would integrate 1/(1+x^2)^2

Learn more problem-solving techniques on Brilliant: 👉 (20% off with this link!) We can use trig substitution (letting x=tanθ ) to do a typical calculus 2 integral, the integral of 1/(1 x^2)^2. However, we will use Feynman’s technique of integration (aka Leibniz’s integral rule, aka differentiation under the integral sign) to come up with a very nice integral formula. Here’s the integral of 1/(1 x^2) by using complex numbers 👉 🛍 Shop math t-shirts & hoodies: 10% off with the code “WELCOME10“ ---------------------------------------- ***Thanks to ALL my lovely patrons for supporting my channel and believing in what I do*** AP-IP Ben Delo Marcelo Silva Ehud Ezra 3blue1brown Joseph DeStefano Mark Mann Philippe Zivan Sussholz AlkanKondo89 Adam Quentin Colley Gary Tugan Stephen Stofka Alex Do