Incalculable ? ... 👑Pensez à la propriété du ROI 👑 !

Here are some new examples of integral calculations using the famous (?) ROI property. I explain the priority rule and, more importantly, how to understand when to use it and on what type of integral it is effective. Includes: origin of the term "ROI" 00:00 Introduction and summary 01:10 What is the ROI property? 04:56 Example 1 (statement) 05:38 Example 1 (solution) 09:52 Example 2 (statement) 10:36 Example 2 (solution) 13:24 Example 3 (statement) 13:52 Example 3 (solution) 16:59 BREAK: why the term "ROI"? (JEE/Putnam) 20:29 Example 4 (statement) 20:45 Example 4 (solution) 22:18 Example 5 (statement) 22:53 Example 5 (solution) 25:33 DIY Exercise 27:19 Example 6 (statement) 28:16 Example 6 (solution) 31:30 SUMMARY: When to use the king's property? 33:06 EXERCISES from JEE / PUTNAM 34:22 CHALLENGE!