Integration - Formula Sheet: bit.ly/3XCT6oz Calculus Video Playlists & Exams: www.video-tutor.net/ Full-Length Videos and Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: ua-cam.com/video/4yJmhZBB40w/v-deo.html
I just wanted to take a moment to thank you, man. You've changed so many peoples lives by helping them. You seem like a great person, I wished I knew you in real life, but I don't sadly. Once again, thanks, man!
My teacher got me looking through my textbook like a madman. You simplified it just like that. Mind blown. I'm always grateful for your videos. Please keep it up!
Had you been around 10 years ago, I probably would have stayed in college. With that lapse in time between then and now, you are a godsend and make Calculus 2 fun again. Thank you for your service to college students everywhere!
@@jimhalpert9803 just because I didn't stick it out the first time around doesn't mean I can't go back and try do it again... or is that a foreign concept to you?
@@LootLust Why are you being so aggressive? I was just curious and wanted to know if you liked integrals in general or if you were just passionate about learning maths.
@@jimhalpert9803 lol. Totally misread the tone of your first comment. It came off smart-assy. I do enjoy math a fair amount, but at the time I was taking Calc 2 again.
@@LootLust haha lol when I read my first comment , it sounds like I'm questioning why you're studying in the first place. Good thing you're interested in maths. Good luck!
Thanks bro for sharing your knowledge to everyone, it really helps me to understand reverse trigonometric integration.. Good job for the clear and clean execution of the topic,thumbs up😁😁😁
You are definitely one of the best Math instructor I've come across on UA-cam. You're a life saver. I really do enjoy and understand your videos. Very explicit. More grace to you. God bless you man.
Today is our final term examination for integral calculus. Thank you for your videos that helps and contribute in my understanding in this subject ❤, God bless you more!
Professor Organic Chemistry Tutor, thank you for an outstanding video/lecture on Integration into Inverse Trigonometric Functions using Substitution. Integration into Inverse Trigonometric Functions ranges from simple to complex, however pattern recognition also helps when computing these complex Integrals in Calculus. This is an error free video/lecture on UA-cam TV with the Organic Chemistry Tutor.
31:30 can also use natural log formula du/u since the 2 terms in the denominator are perfect squares, so it will become xdx / 5 - (x² - 4) or -x² + 9.. we can let u = -x² + 9 and du = -2x dx, and dx = du/ -2x... We now have integral of x du/-2x in the numerator, we can cancel x then put the constant -1/2 outside so we now have -1/2 integral of du/u which is just -1/2 ln | -x² + 9 | + c
What. Why is this so easy compared to what my prof taught??? Test is 6 hours later and I only stumbled across this now. F the notes, i will just watch you instead. Thank YOUUUUU
I just found out that my professor used the exact same expression from *THIS VIDEO* I have been looking for a solution to for the past 12 hours. On cloud nine. Thank God I have internet connection and UA-cam.
Tip: When you derive x^n and the equation is ×dx/something you could simply over the derivative of it with only just the number so it will be xdx=du/n. No need to bring the x so there will be no cancellation.
Hey so at 13:50 why if you have (x/x^2+1) did you have the whole denominator U instead of applying the arctan formula? X^2 is U^2 and 1 is a^2. Also as everyone else says you are the goat at math.
I think it's because when u^2 = x^2, u = x, du = dx. Therefore you will not to be able to let the numerator (x) disappear, and get the integral in the right form. If u^2 would have been x^4, it would have been another story since then you can multiply by du/2x. (like an example in the vid)
in 19: 42 you have a solution to the problem. but will the problem also be correct if you use the same u substitution for both integrals, thus getting the answer 1/2 ln (u) - 3ln(u) + c? or must you always apply the the rules to each integral separately? thus you must apply arc tan rule at the second part of the integral?
These questions can also be solved using trigonometric substitution, I'm getting a little confused please can someone tell me when we'll use trigonometric substitution and when this inverse thing
correct me if i am wrong, but i think you can use this method if the functions are in the denominator, while in trig substitution, the functions are in the numerator or there is simply no denominator.
Hi is completing the square that taking half is effective to all equation regarding to the equation problem? If not what should do aside taking half of midle of equation?
im sure this is obvious, but why are we only using the principle square root? Is it because of the domain of the function? If so, then can't one of the terms, like the x term, be negative?
Who has seen this. In 13.25. That problem of integral of x÷(×square +1)dx . He used u substitution. And that problem looks exactly like the question given which was integral of x÷(x rest to 4+36). So y dint he use u substitution at the beginning of the question given....
The problem at the beginning had an x^3 on the numerator. So we could not use U substitution, which is the reason he performed long division in the first place. Let me know if you are still confused?
Integration - Formula Sheet: bit.ly/3XCT6oz
Calculus Video Playlists & Exams: www.video-tutor.net/
Full-Length Videos and Worksheets: www.patreon.com/MathScienceTutor/collections
Next Video: ua-cam.com/video/4yJmhZBB40w/v-deo.html
May you live long! for the sake of Engineering students. Thank you
LITERALLY!!! We were just taught the basic arctan formula in my engineering calc class, but no examples!! THIS SAVED me hours!
Not just engineering, AP AB Calculus students thank you to infinity. You have saved many grades
@@brandons1095 yes we thank you lim n-->∞
youre from the balut country, arent you?
cant say i dont agree with you 1000% tho
Amen for him
I promised myself if I got an A in Calc this semester I would order a hoody. Thanks to you, my hoody is on its way! You’re a life saver!
I just wanted to take a moment to thank you, man. You've changed so many peoples lives by helping them. You seem like a great person, I wished I knew you in real life, but I don't sadly. Once again, thanks, man!
THE ONE AND ONLY TUTOR THAT DOES NOT COMPLICATE THINGS FOR STUDENTS.I THANK YOU FOR THAT A LOT
Give some credits to Sal khan aswell 😒
bro this guy the smartest human being i’ve ever encountered. cheers to you mate.
My teacher got me looking through my textbook like a madman. You simplified it just like that. Mind blown. I'm always grateful for your videos. Please keep it up!
Had you been around 10 years ago, I probably would have stayed in college. With that lapse in time between then and now, you are a godsend and make Calculus 2 fun again. Thank you for your service to college students everywhere!
Why are you watching if you're not in college or studying?
@@jimhalpert9803 just because I didn't stick it out the first time around doesn't mean I can't go back and try do it again... or is that a foreign concept to you?
@@LootLust Why are you being so aggressive? I was just curious and wanted to know if you liked integrals in general or if you were just passionate about learning maths.
@@jimhalpert9803 lol. Totally misread the tone of your first comment. It came off smart-assy. I do enjoy math a fair amount, but at the time I was taking Calc 2 again.
@@LootLust haha lol when I read my first comment , it sounds like I'm questioning why you're studying in the first place. Good thing you're interested in maths. Good luck!
I GOT PERFECT IN MY EXAM BECAUSE OF YOU! THANKYOU!
you got me through 2 years of calc and I'm sure more in the future thank you so much man
Words are not enough to describe my gratitude for your works
its like the ghost of precalculus has paid me a visit today
thanks brother with your calm voice... makes me believe I will not fail lol haha
I feel like you make these a lot easier than my professor
Professors are useless
Thanks bro for sharing your knowledge to everyone, it really helps me to understand reverse trigonometric integration..
Good job for the clear and clean execution of the topic,thumbs up😁😁😁
THEY MAKE IT SO CONFUSING IN THE TEXTBOOK WITH PROBABLY 5 ROUNDS OF SIMPLIFYING IN ORDER TO GET THE ANSWER
You are definitely one of the best Math instructor I've come across on UA-cam. You're a life saver. I really do enjoy and understand your videos. Very explicit. More grace to you. God bless you man.
Thank you for this content!
If everyone was more like you, the world would be a better place.
Today is our final term examination for integral calculus. Thank you for your videos that helps and contribute in my understanding in this subject ❤, God bless you more!
Thanks man for sharing this knowledge....calculus seems very easy with your videos. Thanks once again.
somebody get this man a wider screen !!!
Thank you so much! On my 2nd yr in Eng., I went here coz I feel helpless. You have taught me a loooot. Thsm!
Professor Organic Chemistry Tutor, thank you for an outstanding video/lecture on Integration into Inverse Trigonometric Functions using Substitution. Integration into Inverse Trigonometric Functions ranges from simple to complex, however pattern recognition also helps when computing these complex Integrals in Calculus. This is an error free video/lecture on UA-cam TV with the Organic Chemistry Tutor.
Legend, life saver, ultimate teacher. Thank you.
31:30 can also use natural log formula du/u since the 2 terms in the denominator are perfect squares, so it will become xdx / 5 - (x² - 4) or -x² + 9.. we can let u = -x² + 9 and du = -2x dx, and dx = du/ -2x... We now have integral of x du/-2x in the numerator, we can cancel x then put the constant -1/2 outside so we now have -1/2 integral of du/u which is just -1/2 ln | -x² + 9 | + c
🎉
idk how the id get through calculus without you!
May you be willing to do a video about hyperbolic functions and their inverse?
What. Why is this so easy compared to what my prof taught??? Test is 6 hours later and I only stumbled across this now. F the notes, i will just watch you instead. Thank YOUUUUU
Thank you for making me pass my calculus tests
Imagine one day this guy woke up and had the massive realization that he was going to make the lives of millions a million times easier.
thank you so much for everything. learning calculus online this year is terrible but your videos always help me learn new material.
Sir, generations to come will benefit from such videos 🙏 we owe our careers to you, sir. Thank you so much sir 🙏
Its just awesome to search something and your vids come up. Sooo helpful. Love you!
This guy is a mathematical genius!!!
May God continue to keep you for us, your students.
THANK YOU SOOOO MUCH!!! THIS IS SO MUCH SIMPLER THAN I THOUGHT
You are truly the best❤
Thank you! Integrals through me through a loop but your videos didn't!
the hero we never knew we needed
😶🤐... I wish I could leave a comment as impressive as your teachings have been. God bless you sir 😊
Greatest tutor
Greatest tutor
thanks so much for you efforts god bless you
You re one of the best teacher - May god bless ( soon I want to contribute to your efforts)
bless your beautiful soul. seriously dude, thank you.
Thank you so much. Always feel more ready for a math test afterwards.
I just found out that my professor used the exact same expression from *THIS VIDEO* I have been looking for a solution to for the past 12 hours. On cloud nine. Thank God I have internet connection and UA-cam.
Superb and benefited from the well articulated easy explainory
Thank you so much for helping me to pass my calculus 2
Tip:
When you derive x^n and the equation is
×dx/something you could simply over the derivative of it with only just the number so it will be xdx=du/n. No need to bring the x so there will be no cancellation.
Thanks, this really helped with my studying
will you please make a video about hyperbolic functions like sinh and cosh and those formulas ;-; thank you for everything
There are also inverse hyperbolic substitution formulas; arccosh, arcsinh, arcsech, arctanh
Hey so at 13:50 why if you have (x/x^2+1) did you have the whole denominator U instead of applying the arctan formula? X^2 is U^2 and 1 is a^2.
Also as everyone else says you are the goat at math.
that's exactly my problem too! -_-
I think it's because when u^2 = x^2, u = x, du = dx. Therefore you will not to be able to let the numerator (x) disappear, and get the integral in the right form. If u^2 would have been x^4, it would have been another story since then you can multiply by du/2x. (like an example in the vid)
Damn you made my Computer Science life so easy
Thanks very much for your work.... we ask if you can make a video about the integration of hyperbolic and inverse hyperbolic functions.
This guy is a Genius
this man deserves some flowers.
Thank you this helped tremendously!
in 19: 42 you have a solution to the problem. but will the problem also be correct if you use the same u substitution for both integrals, thus getting the answer 1/2 ln (u) - 3ln(u) + c? or must you always apply the the rules to each integral separately? thus you must apply arc tan rule at the second part of the integral?
Thank you
Egypt
you are SAVING ME
Thank you so very much for this video!
Thanks! It's a big help because we have a quiz later.
These questions can also be solved using trigonometric substitution, I'm getting a little confused please can someone tell me when we'll use trigonometric substitution and when this inverse thing
Mohammad Hamza bro I was thinking the same thing
@@thomascruickshank7407 Bro I was thinking the same thing. Currently in Calc 2
correct me if i am wrong, but i think you can use this method if the functions are in the denominator, while in trig substitution, the functions are in the numerator or there is simply no denominator.
To state the truth you can actually do it by any method because integration doesn't have discrete methods like differentiation 😊
@mohammed aswr. Its confusing. Dunno when to use either of them
How I wish you were my professor. 🥺
good job
Belated Happy Teacher's Day Organic Chem 👍
you are a blessing.
It could be a good idea to calculus in all colleges in America with those videos; It could be better, lest confusion.
Hi is completing the square that taking half is effective to all equation regarding to the equation problem? If not what should do aside taking half of midle of equation?
i just wanted to ask, should we ignore the negative symbols?
شكرا يا هندسه
دكتور شكله
you are the best man long live
Thanks for you very much my love. ..... lam girl from London
Caleb Frank omg bless me too i have a bombass exam in 1 week 😭
This was very helpful. Thank you
Enjoying your video 🔥❤️
thank you very much
Thank u sir!! I hope I can pass my exam tomorrow!!
May you live long!
Thank you thank you thank you!!!!!!!
Thank you
Thank you soooo much ❤❤❤❤
At 18:09 , i dont understand why you are making u= x^2 +1 ??, instead of doing a^2+u^2
you're so awesome, thank you so much !!!
im sure this is obvious, but why are we only using the principle square root? Is it because of the domain of the function? If so, then can't one of the terms, like the x term, be negative?
On the last problem, should it be on radian, or degree mode? Cause i thought it should be on degree mode.. 🤔
Thank you so much....keep on rising!.
Thank you the man the legend
Do you have any examples with the actual finite integrals with number ranges
I love your voice very much🙏🙏
Very helpful! Thanks a lot!
Thank you master!
6:05 is it ok to cancel out the 2 even if they are both denaminator?
THANK YOUUUUU❤
Good job bro💪
Bro goated af, thank you
Thank you so much! 😭💖
Who has seen this. In 13.25. That problem of integral of x÷(×square +1)dx . He used u substitution. And that problem looks exactly like the question given which was integral of x÷(x rest to 4+36). So y dint he use u substitution at the beginning of the question given....
The problem at the beginning had an x^3 on the numerator. So we could not use U substitution, which is the reason he performed long division in the first place. Let me know if you are still confused?
You are a God Damn Legend.
Can you show the Proof of the formulas pls
#EngineeringClub
Nah, #ComputerScienceClub