Trigonometric Substitution
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- เผยแพร่เมื่อ 25 มี.ค. 2021
- This calculus video tutorial provides a basic introduction into trigonometric substitution. It explains when to substitute x with sin, cos, or sec. It also explains how to perform a change of variables using u-substitution integration techniques and how to use right triangle trigonometry with sohcahtoa to convert back from angles in the form of theta to an x variable. There's plenty of examples and practice problems in this lesson.
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awesome
very helpful!
I cannot become A member.. It is something to do with my country.. What can I do to watch full videos?
I couldn't access the full 1 hour video
Hello sir,if you don't mind you can feel free to let us enjoy the full lesson just here . humbly
integration used to be so much simpler ... and then this came along
What the heck!?
It was simple?!?!
I feel you man😢
Calc II wasn’t the same after the trig sub dlc
@@khurshidbekkk2647 where are fromm buddy
U look like coming from 19th Egypt 😅
Trig sub is one of the hardest integration techniques to learn and you explain it in such an easy to follow way.
It's actually the hardest to learn because you need full knowledge of trig identities, sohcahtoa, and even inverse trig functions to solve some of these.
@@citizencj3389 bro exactly
It's occured to me that I never learned or probably forgot all those identities
@@citizencj3389 dude you have written what i needed in your comment , you saved my life , i will fight for you
Right.. its almost like the lecturers teach us in a difficult way in purpose and thus guy just tells us wassup without the bullshi*
Just goes on to show that calculus is easy if you have the right teacher
I just want you to know that I’ve got a 96 in Integral and Differential Calculus because of you! I can’t thank you enough!
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that's really powerful!
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Lucky you. I don’t think I can make it past calc 2
@@VergilPeterson yeah I am in Calc II at Ohio State, it’s terrible. I have a midterm this Friday and I’ve gotten a 45/100 and 49/100 on both my practice exams😐
2:38 "now we gotta do some math" legendary
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18:24 "What was I thinking?" ...Me after every math test
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well spoken
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@@Stickman_Productions we talking about maths
This is what online math classes should be like
Aqq
Ikr
bro even in your real class they teach in similar way, We just dont pay attention in our real classes.
@@freebird1685 true
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I wish this channel had been around when I was in undergrad. I remember watching my professor explain this and wondering why this class was a requirement for Econ at UCLA. Now, many years later, I’m still waiting for a chance to show off my trig substitution skills. I’m getting my MBA in 2 weeks and I didn’t need it there either.
I am studying econ and i was asking myself why should i see this kind of math but here i am seeing, this won't help with anything in the future too.
Did you use it in those last 2 weeks?
@@karstenkunneman5219 Im dead
Maybe because you arent studying TEM
@@Psowi exactly, you just proved why non STEM students shouldn't have to take calculus
For all you people struggling through Calc 2 right now, just keep at it and take comfort in the fact that Calc 3 and Differential Equations won’t be nearly as bad. I’m in D.E right now and it’s actually kind of fun!
fr?
thanks. barely at the edge rn
that's exactly what I heard at my school. People say Calc 2 is the hardest calc class
Unfortunately I only need calc 1 and 2
oh boy, but than i got continuous time systems after that.
When it comes to finding the missing side of the right triangle, it's worth noting that it always turns out to be the square root from the original integral that made us need to do a trig sub in the first place
Please watch Professor V, Integral of the Day Playlist for more on Techniques of Integration in Calculus. Pattern recognition is also needed for Trig Substitution.
Love this guy but at 3:30 he dropped the square of sin in the denominator of the integral. Just for people that are trying to follow along
He corrected that in 4.12 mintes
@@MD-cy7lb but why does the numerator still 4(1-sin^2theta), shouldn't it be 4(1-sin theta) only because 2^2 is already 4?
I would just like to say thank you to the organic chemistry tutor! You are the greatest! His videos have helped me with bio, chem, calc 1 and 2, and physics
Organic chemistry tutor, Professor Leonard, & NancyPi. The terrific trio for carrying STEM students.
I watched this video an hour before my test in desperate need of help since I did not understand it. I saw a question and I got it right because of you. Thank you so much!
Revisiting this for calc 3. Thanks so much for your videos! They help A TON.
I watched an hour long lecture from my professor and did not understand this but watched 2 minutes of your video and I already understand it better. Thank you for your service to confused college students.
That's exactly what I was saying. I just spent 75 minutes in class, and understand the subject more in the first two minutes of this video, then my teacher has taught me in the whole chapter
I tutor calculus students and yesterday I realized I was rusty on trig substitution. This video was just what I needed; thanks for sharing!
I’m so thankful you made a video on this, I went crazy trying to understand this when the textbook just put it with no explanations
damn-can't get away without knowing my Trig anymore. Looks like I have to do a whole relearning!
yep exactly. ive been alright with my surface-ish recall of trig until this lesson lmao
@@generalmalaise2930haha wait until you need to know reduction formulas and power reducing rules
The last time I learned Calculus was almost 20 years ago, and this year I need to tutor Calculus. Your videos really really helped me. You are really gifted with being able to explain complex things in simple ways. THANK YOU.
This might be a stupid question but do you remember anything from 20 years ago?
@@josuequintero-td5gh Yes, generally I do. But if you are asking whether I remember what I learned about Calculus 20 years ago, yes I remember the basics.
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🏃🏻♀️5 hours till my exam, i am grateful that u uploaded this today , thankkkk uuu
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Thank you for this video! I can't understand what my calculus professor is talking about sometimes and your videos really help!!
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This came out at the right time, I have an exam about this tomorrow, thanks
1:12 Full list of trig formats & associated x=a formulas. Problem 1 (1:18-8:45); Problem 2 (9:02-19:24)
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Tried the Third problem at the end, solved it, ty!
love ur videos man thanks very much my whole confusion is gone
i just like listening to your voice honestly
For the last one, why can’t you do 9sec^3(arctan(x/3)) - 27sec(arctan(x/3)) + C?
8:03 whoa! Much simpler method to determin tan(arcsin(x/2)), cos(arcsin(x/2)) etc. Until now I have used trigonometric relations and calculus to determin those functions.
Best revision channel ngl
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Thanks professor JG
Bruh I was confused about this and now you uploadef this🥺
Professor Organic Chemistry Tutor, thank you for another excellent video/lecture on Trigonometric Substitution in Calculus Two. All students/nonstudents should have a solid understanding of Trigonometry before studying Trig Substitution.. This is an error free video/lecture on TH-cam TV with the Organic Chemistry Tutor.
Thank you so much for the explanation!! 🥰🥰
Thank you for this lesson organic chem!
This is by all means the hardest shit I have ever studied it!
Thank you for your very helpful video. 😊
very clear lecture thank you u are amazing keep working the organic chemistry
This chapter right here, is the core difficulty of all embodiment of Calculus holy shit
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This just makes me realize how bad my prof actually is. We have been blessed with your existence. Tysm!
it is 8 pm I have a calc 2 final tomorrow morning and I'm just now trying to finally learn trig subs.
how'd you do?
@@matthewhrndz I got a 151/200 on the final and passed the class with a 76
@@preston7246 aye let's gooo, i have my calc 2 final next wednesday
@@matthewhrndz nice nice good luck on it man
You’re a life saver
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organic Chemistry tutor you deserve something huge from the world wide🤑🥰
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please do a video on gamma and beta functions too i love your channel
You are a lord and savior I was stuck on this
2:37 was my favorite part 👌
posto x=2sint...ho -ctgarcsin(x/2)-arcsin(x/2)....-sqrt(4-x^2)/x-arcsin(x/2)
Waaa...thank you so much, you make my life easier. I think a part of my school fees should be given to you!
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well explained
I lowkey have been watching these even when im not even in math anymore so that i can keep my math skills
How does this math differ for Integration into Inverse trigonometric functions using Substitution (which is also a video on The Organic Chemistry Tutor) ?
the god tier tutor of the internet
Thanks😊
thanks so much for ur help homie
Thanks a lot
Can’t you just use u sub by doing some clever manipulation to the u statement?
“So now we gotta do some math”
Hm, I had a hunch.
Thank You!
god bless bro i got a calculus exam in 8 hours this just saved my ass
Yes thank u for this thank you very much sir thank uuuuuu
Thank you!
You are amazing sir, thank you 🙏🏽🙏🏽
It's important to make sure in every step That the domains are reasonable In the substitution
For example The square root of sec²( theta) Has to be positive So we need to make sure in the substitution To make the restrictions positive
Never took a trig class before, so y'all already know I'm having a great time in calculus 😂
6:32 - SOH is Sine equal to opposite over hypothenuse
Thank you soooooo much
I have not met a professor who you have not routinely outclassed
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thank you
for the first one, can you replace 1-sin^2theta with cos^2theta and integrate cot^2theta
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for the integral of 1 on the second question, wouldn't that be equal to theta and not "u"? so the answer would become 9(sqr(x^2)/x)^3-27(invtan(x/3))+c
your the best