Can we do a direct substitution between these two integrals? скачать в хорошем качестве

Can we do a direct substitution between these two integrals?

The first 1,000 people to use the link will get a 1-month free trial of Skillshare: https://skl.sh/blackpenredpen06221 See ‪@Fun_maths‬ for the direct substitution:    • I solved your problem blackpenredpen!   Calculus u-substitution for definite integrals. We will start with the geometry aspect of the u-substitution for definite integrals by comparing the area under y=sqrt(1-(ln(x)^2)/x from 1/e to e and the area under y=sqrt(1-x^2) from -1 to 1. Although they look very different, they actually have the same area and we can prove so by using u-substitution. Now I have a very difficult question that I do not know if it's even possible. Notice the integral of 1/(1+x^2) from -1 to 1 is also pi/2 so I have been wondering if we can do a direct substitution from the integral of sqrt(1-x^2) from -1 to 1 to get the integral of 1/(1+x^2) from -1 to 1. This calculus tutorial is very suitable for calculus 1, calculus 2, AP Calculus AB, AP Calculus BC, and GCSE calculus students. 0:00 opening question 0:15 the geometry of u-substitution 5:27 my difficult problem of u-substitution 8:18 check out skillshare Subscribe for more math for fun videos 👉 https://bit.ly/3o2fMNo If you need more help with your class, check out my just calculus tutorial channel: 👉    / justcalculus   🛍 Shop math t-shirt & hoodies: http://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 Řehák 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 ---------------------------------------- 💪 If you would also like to support this channel and have your name in the video description, then you could become my patron here   / blackpenredpen