Uploaded September 2022 | Updated September 2026, 2 weeks ago
You can now register for BMT 2022 here: https://www.ocf.berkeley.edu/~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: https://www.ocf.berkeley.edu/~bmt/archive-bmt-2020/
If you are also interested in sponsoring BMT and making an impact, please contact communications@bmt.berkeley.edu
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)
๐ Shop math t-shirts & hoodies: bit.ly/bprpmerch
10% off with the code "WELCOME10"
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***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 Dodge Gary Huntress Alison Hansel
Delton Ding Klemens Christopher Ursich buda Vincent Poirier Toma Kolev
Tibees Bob Maxell A.B.C Cristian Navarro Jan Bormans Galios Theorist
Robert Sundling Stuart Wurtman Nick S William O'Corrigan Ron Jensen
Patapom Daniel Kahn Lea Denise James Steven Ridgway Jason Bucata
Mirko Schultz xeioex Jean-Manuel Izaret Jason Clement robert huff
Julian Moik Hiu Fung Lam Ronald Bryant Jan ลehรกk Robert Toltowicz
Angel Marchev, Jr. Antonio Luiz Brandao SquadriWilliam Laderer Natasha Caron Yevonnael Andrew Angel Marchev Sam Padilla ScienceBro Ryan Bingham
Papa Fassi Hoang Nguyen Arun Iyengar Michael Miller Sandun Panthangi
Skorj Olafsen Riley Faison Rolf Waefler Andrew Jack Ingham P Dwag Jason Kevin Davis Franco Tejero Klasseh Khornate Richard Payne Witek Mozga Brandon Smith Jan Lukas Kiermeyer Ralph Sato Kischel Nair Carsten Milkau Keith Kevelson Christoph Hipp Witness Forest Roberts Abd-alijaleel Laraki Anthony Bruent-Bessette Samuel Gronwold Tyler Bennett christopher careta Troy R Katy Lap C Niltiac, Stealer of Souls Jon Daivd R meh Tom Noa Overloop Jude Khine R3factor. Jasmine Soni L wan na Marcelo Silva
----------------------------------------
๐ช If you would also like to support this channel and have your name in the video description, then you could become my patron here patreon.com/blackpenredpen
You can now register for BMT 2022 here: https://www.ocf.berkeley.edu/~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: https://www.ocf.berkeley.edu/~bmt/archive-bmt-2020/
If you are also interested in sponsoring BMT and making an impact, please contact communications@bmt.berkeley.edu
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)
๐ Shop math t-shirts & hoodies: bit.ly/bprpmerch
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 Dodge Gary Huntress Alison Hansel
Delton Ding Klemens Christopher Ursich buda Vincent Poirier Toma Kolev
Tibees Bob Maxell A.B.C Cristian Navarro Jan Bormans Galios Theorist
Robert Sundling Stuart Wurtman Nick S William O'Corrigan Ron Jensen
Patapom Daniel Kahn Lea Denise James Steven Ridgway Jason Bucata
Mirko Schultz xeioex Jean-Manuel Izaret Jason Clement robert huff
Julian Moik Hiu Fung Lam Ronald Bryant Jan ลehรกk Robert Toltowicz
Angel Marchev, Jr. Antonio Luiz Brandao SquadriWilliam Laderer Natasha Caron Yevonnael Andrew Angel Marchev Sam Padilla ScienceBro Ryan Bingham
Papa Fassi Hoang Nguyen Arun Iyengar Michael Miller Sandun Panthangi
Skorj Olafsen Riley Faison Rolf Waefler Andrew Jack Ingham P Dwag Jason Kevin Davis Franco Tejero Klasseh Khornate Richard Payne Witek Mozga Brandon Smith Jan Lukas Kiermeyer Ralph Sato Kischel Nair Carsten Milkau Keith Kevelson Christoph Hipp Witness Forest Roberts Abd-alijaleel Laraki Anthony Bruent-Bessette Samuel Gronwold Tyler Bennett christopher careta Troy R Katy Lap C Niltiac, Stealer of Souls Jon Daivd R meh Tom Noa Overloop Jude Khine R3factor. Jasmine Soni L wan na Marcelo Silva
----------------------------------------
๐ช If you would also like to support this channel and have your name in the video description, then you could become my patron here patreon.com/blackpenredpen
