so you want a HARD integral from the Berkeley Math Tournament

You can now register for BMT 2022 here: ~bmt/bmt-2022/ The first-place team wins $1000 bprp scholarship and I will be there! We will integrate x/tan(x) from 0 to pi/2. We will use Feynman’s technique (aka Feynman’s trick of integration or differentiation under the integral sign) to compute this integral. This problem is from the Berkeley Math Tournament in 2020. Here’s the link to the exam and the solution: ~bmt/archive-bmt-2020/ If you are also interested in sponsoring BMT and making an impact, please contact communications@ Thank you! 0:00 we haven’t done a hard integral for a while 2:33 the steps of Feynman’s trick of integral 5:30 differentiate I(a) first, then do the integral 18:59 integrate I’(a) with respect to a to get I(a) 🛍 Shop math t-shirts & hoodies: 10% off with the code “WELCOME10“ -------