The Comparison Theorem for Improper Integrals | Step by Step Explanation | Math with Professor V
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- Опубліковано 7 вер 2024
- Breakdown of the Comparison Theorem for Improper Integrals, and how to use it to determine if an improper integral is convergent or divergent. Six lovely examples breaking down the process step by step, explaining how to set up the appropriate inequalities in order to correctly apply the theorem. Which example was your favorite? Comment down below! Hope you all are having a lovely day.
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It is sooo shameful that this video got this few likes and views. There should have been millions. Anyways, this was soo awesome and the way you made it feel like you understand the learner's feelings and in what parts the learner might be not catching up, this was soo cool. Keep going you really help a LOT OF students.
Barev Edgar:
Merci shat for your comment and kind words! I so appreciate it! Hopefully in the near future my channel and videos will get more attention. 🙏🏻🙏🏻☺️😉☺️I’m still happy you found me on UA-cam and that you enjoyed my video so much! PS Yes el hye em. 😉
Wow, this explanation was so coherent and simplistic. Thank you!
Glad you enjoyed it! ☺️👍🏻
I'm a freshman in college, I have my Calc 1 Final today (i'm gonna fail cuz my professor gives insanely difficult exams) and can't teach, at all. I just wanna say thanks for being a good teacher. I wish I found this channel earlier.
You’re welcome! I’m sorry that’s been your experience, but I’m not surprised. I only had a handful of great teachers, most of the time I relied on my mom to teach me (she is also a math professor) or I just read the text and tried to teach myself. Hoping to save other students from going through the same thing! 💕
Professor V does it again in her inimitable style. Brava, signora! ❤🎉😊
Awwww, grazie mille Ezra! ☺️☺️🫶🏻
@@mathwithprofessorv 🥰
I literally found this video a day before my final exam, it was really helpful! Thank you so much
Glad it helped! ☺️☺️
Thank you, Professor V! Great timing before my test!! :D
Oh perfect! 👍🏻☺️👌🏻
I think the limit comparison video would be helpful! My textbook covers it! Additionally, thank you for helping us students out, as I am currently taking Calculus 2 online.
That’s good to know, I can work on that video as well 👍🏻 So happy to be of help!!!! ☺️☺️
You are really good shem😇😇
Thank you so much ☺️
Thank you so much, I enjoyed the whole video!
I'm so glad! 😀
Thank you Professor V. This is really helpful
It’s my pleasure! ☺️☺️
I might be having a crazy "brain fart moment" but in the last example, when solving the integral for 2e^(-x), why does the the 2 become (negative) -2e^(-x)? I'm sure once someone explains it to me I will be laughing at myself. Great video...really saving me for finals!
Edit: Is it because of the u-substitution solving for e^(-x) that the whole expression should multiplied by -1?
yeah your edit is why
Yes exactly! Sorry for skipping that step if it confused you!
Hello,
I really love your videos, thank you.
If the test was limit comparison, problem 3 would it be ok to use p series?
Saludos desde el Peru me hiciste ver que tengo que estudiar bien desigualdades y que decir tu video es muy buenno muy buena la explicacion gracias
¡Muchas gracias! Agradezco mucho tus comentarios y tus palabras de ánimo. ☺️ Tengo más videos sobre “inequalities” (no se como se dice en español) y ese tema en particular aqui:
ua-cam.com/video/6BF9umwk3-I/v-deo.htmlsi=3MjJmssX0ujQDRwl
ua-cam.com/video/Q0zD3GjXJ1s/v-deo.htmlsi=7qGWBDKbsfZQ1-rI
Saludos desde los estados unidos, y quizás un día tendremos la opoturnidad de visitar tu pais!
too clean. thanks!
This is a great video abt this topic. W explaining 🎉💪
Thank you! Glad it was helpful! ☺️
That was so helpful, thanks a lot
You’re welcome! ☺️
Thank you very much.
You are welcome!🤗
great explanation thanks a lot
Glad it was helpful!
Your are the best 👌 ❤
Thank you so much ☺️
at 23:51 the integral was undefined at x=1 so you shouldve separated it i guess ?
Yes to be more precise we should go 2 to infinity or something, and can still show the same conclusion with no issues for continuity. Good catch 👌🏻
thanks great video.@@mathwithprofessorv
Thank you so much 🙏🏻☺️
you are the lifesaver god bless.
It is my pleasure! ☺️☺️🫶🏻
24:29 yess
16:35 wouldn't the rational functions be undefined when x = 0?
They’re technically not rational functions, but yes I should’ve written (0,pi/2] on the inequality since both are not defined at 0. 👍🏻
@@mathwithprofessorv neat. yeah, rational expressions would've been the more appropriate term. thanks for the response!