What are double integrals? What are they for? | #SoME1 #3b1b

Hi! This is the video that took me one month to create. I’m so proud of it. Forgive me if you encounter any grammatical errors, this is my first video completely in English :( #3b1b launched this challenge and I wanted to throw myself into explaining one of the most beautiful topics that fascinated me: double integrals. I hope I have given them the honor they deserve, given their extreme beauty and practicality. For any questions and advices, feel free to write me on the comments! This is the official submission for the contest Summer of Math Exposition (SoME1) Contacts: @ / eserclub@ Code: 0:00 Introduction - a curious practical problem 0:34 Introduction - What is a Double Integral? 3:31 Subdivision of Domains 4:00 Rectangular Domain 5:38 1st numerical example 7:22 Domain bounded by 2 functions 8:20 2nd numerical example 9:14 Change of Coordinates 11:25 The Jacobian 12:52 The answer to the practical problem 15