Uploaded October 2022 | Updated September 2026, 2 weeks ago
Learn more calculus from Brilliant: π brilliant.org/blackpenredpen (20% off with this link!)
This is actually Laplace's method to evaluate the Gaussian integral, namely the integral of e^(-x^2) from -inf to inf. en.wikipedia.org/wiki/Gaussian_integral I believe this is a great method because calculus 2 students, with the knowledge of improper integrals and the willingness to see a double integral for the first time, should be able to understand. I will do it the classic way in my new 100 integrals video! Subscribe to @blackpenredpen so you don't miss it!
π Shop your Ρδ sweatshirt: https://a.co/d/5jqQrPm
π Support this channel and get more content patreon.com/blackpenredpen
0:00 100 integrals part 2 coming soon
1:10 integral of e^(-x^2) from -inf to inf without using polar coordinates.
14:06 check out Brilliant!
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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 ΕehΓ‘k 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
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Learn more calculus from Brilliant: π brilliant.org/blackpenredpen (20% off with this link!)
This is actually Laplace's method to evaluate the Gaussian integral, namely the integral of e^(-x^2) from -inf to inf. en.wikipedia.org/wiki/Gaussian_integral I believe this is a great method because calculus 2 students, with the knowledge of improper integrals and the willingness to see a double integral for the first time, should be able to understand. I will do it the classic way in my new 100 integrals video! Subscribe to @blackpenredpen so you don't miss it!
π Shop your Ρδ sweatshirt: https://a.co/d/5jqQrPm
π Support this channel and get more content patreon.com/blackpenredpen
0:00 100 integrals part 2 coming soon
1:10 integral of e^(-x^2) from -inf to inf without using polar coordinates.
14:06 check out Brilliant!
----------------------------------------
***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 ΕehΓ‘k 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
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