Esercizi integrali con il metodo dei residui - Quanto vale l'integrale di cosx/(x^2+1)?
00:00 Solved integral exercise with the residue method 00:05 Integral of cosx/x^2+1 from minus infinity to plus infinity 00:12 Integral of e^z/z^2+1 with the residue method 02:12 Residue theorem 02:43 Can I use the residue theorem? 05:25 Are they isolated singularities? 06:45 I find the closed curve simple to use 09:45 Residue formula 11:00 Why do I use the residue theorem? 12:26 Calculating Residues of a Function 15:59 Calculating Integral E^iz/z^2+1 Along a Curve 25:34 Final Calculations 26:32 Conclusions #mathematics #integrals #mathematicalanalysis #residuemethod #analysis2 #solvedexercises To support me in creating more similar videos, subscribe to the @matematicatranquilla channel and leave a like or a comment on the video (this is a plus, not an minus!). If you need help with an exercise or there's a topic you don't quite understand, feel free to leave a comment; I might be able to solve or explain it in a future video. I make these videos as a hobby and passion, so if you find any errors or oversights, please let me know in the comments. I ask you to do so kindly. Mistakes happen to everyone: at the ministry when they create quizzes for medical school exams or questions for high school exams, at university professors when they prepare exam papers or during lectures; it's very likely that they'll happen to me too in my videos sooner or later. See you next time!
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