Trigonometric Substitution

[@TheOrganicChemistryTutor]

Integration - Free Formula Sheet: bit.ly/3XCT6oz Full 1 Hour 10 Minute Video: www.patreon.com/MathScienceTutor Direct Link to The Full Video: www.bit.ly/3zuP2s0 Integration - Video Lessons: www.video-tutor.net/integration-techniques.html

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I cannot become A member.. It is something to do with my country.. What can I do to watch full videos?

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I couldn't access the full 1 hour video

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Hello sir,if you don't mind you can feel free to let us enjoy the full lesson just here . humbly

[@NASAFanboy]

Trig sub is one of the hardest integration techniques to learn and you explain it in such an easy to follow way.

[@citizencj3389]

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.

[@cheekybum1513]

@@citizencj3389 bro exactly It's occured to me that I never learned or probably forgot all those identities

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Right.. its almost like the lecturers teach us in a difficult way in purpose and thus guy just tells us wassup without the bullshi*

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Just goes on to show that calculus is easy if you have the right teacher

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Lucky you. I don’t think I can make it past calc 2

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well spoken

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@@Stickman_Productions we talking about maths

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2:38 "now we gotta do some math" legendary

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Me: "...that's why I'm here."

[@Joseph973]

18:24 "What was I thinking?" ...Me after every math test

[@mosantw2014]

"The hard part's over" Me: nope, the hard part beings😢

[@jasonjackson4555]

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.

[@BaoBao-im4zv]

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.

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Did you use it in those last 2 weeks?

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@@karstenkunneman5219 Im dead

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Maybe because you arent studying TEM

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@@Psowi exactly, you just proved why non STEM students shouldn't have to take calculus

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Organic chemistry tutor, Professor Leonard, & NancyPi. The terrific trio for carrying STEM students.

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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.

[@Mattletic]

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

[@calebnguyen7348]

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!

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This is what online math classes should be like

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Aqq

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Ikr

[@freebird1685]

bro even in your real class they teach in similar way, We just dont pay attention in our real classes.

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@@freebird1685 true

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[@aidenx3vv]

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

[@georgesadler7830]

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.

[@nuridaw9586]

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.

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This might be a stupid question but do you remember anything from 20 years ago?

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@@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.

[@PunmasterSTP]

I tutor calculus students and yesterday I realized I was rusty on trig substitution. This video was just what I needed; thanks for sharing!

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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

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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!

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fr?

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thanks. barely at the edge rn

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that's exactly what I heard at my school. People say Calc 2 is the hardest calc class

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Unfortunately I only need calc 1 and 2

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oh boy, but than i got continuous time systems after that.

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This dude is covering calc2 while I'm doing it. It's one of the best feeling in the world.

[@eri4232]

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

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No way, every question I have I look for it and your channel appears, I will definitely dedicate my title to you when I graduate, thanks for everything!

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🏃🏻‍♀️5 hours till my exam, i am grateful that u uploaded this today , thankkkk uuu

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The absolute greatest person to ever exist. This one has single handedly raised every calculus and chemistry pass rate across the globe. We all love you.

[@Allahu_Akbar_the_one]

damn-can't get away without knowing my Trig anymore. Looks like I have to do a whole relearning!

[@generalmalaise2930]

yep exactly. ive been alright with my surface-ish recall of trig until this lesson lmao

[@Amaru1111]

​@@generalmalaise2930haha wait until you need to know reduction formulas and power reducing rules

[@donpowers8726]

This is great video. The presenter goes along very well and does not edit out the few small oopps that we all do when solving equations. Well done . Thanks

[@elliewolcott6254]

Revisiting this for calc 3. Thanks so much for your videos! They help A TON.

[@kaevindixon77]

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

[@MD-cy7lb]

He corrected that in 4.12 mintes

[@yuunaa7827]

@@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?

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this channel has single handedly saved my grade in math so many times

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lmao you are my savior istg i have a test on thursday and im PANICKING bc i completely zoned out these past few weeks i needed a solid lesson on how to do these thank you

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This helped me so much with my Cal2 homework! Keep it up man!

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This came out at the right time, I have an exam about this tomorrow, thanks

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Thankyou so much ! 💜 Its exactly what i need

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Thank you so much! Your channel always pulls me through trouble, I'm grateful for your hard work!!

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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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[@lyndseystrait1513]

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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This just makes me realize how bad my prof actually is. We have been blessed with your existence. Tysm!

[@utilizator1701]

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.

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You are the best teacher I ever had. Thank you for everything you do. Making it look so easy is probably the hardest part, but it makes all the difference. Screw kahn academy.

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Same

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@@bungle5899me… my test tomorrow

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Exam today. Im heavily cooked

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Thank u so much! You have proved that maths can be learned virtually as effective as physically.

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[@preston7246]

it is 8 pm I have a calc 2 final tomorrow morning and I'm just now trying to finally learn trig subs.

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how'd you do?

[@preston7246]

@@matthewhrndz I got a 151/200 on the final and passed the class with a 76

[@matthewhrndz]

@@preston7246 aye let's gooo, i have my calc 2 final next wednesday

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@@matthewhrndz nice nice good luck on it man

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This chapter right here, is the core difficulty of all embodiment of Calculus holy shit

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When you said "now its time to do some math", that's when i realised it was over for me

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This is by all means the hardest shit I have ever studied it!

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I am going to achieve...above average because of you

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You are an amazing interllect and you deserve an Academic Golden Nobel price for your amazing work...keep going man be blessed, be healthy..thanks.

[@georgesadler7830]

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 KZbin TV with the Organic Chemistry Tutor.

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You are the reason I am understanding calc, bless you

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Thank you Teacher,you made it so easier...

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i just like listening to your voice honestly

[@jbjc3924]

at 4:35 when you have cos^2 / sin^2, seems more intuitive to see that as cot^2 rather than 1-sin^2 / sin^2

[@abdulraheem-vb2kv]

Wish me luck, i got test on tuesday. Ill be back to tell the result

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good luck! btw i'm just browsing through comments, is it worth it to learn this for a Calc I exam? Also let me know the results on tuesday!

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HOW WAS IT TELLME THE RESULTS!?!?

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Bro didn’t make it out alive

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Helpful content as such shouldn't be locked behind a paywall.

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Never took a trig class before, so y'all already know I'm having a great time in calculus 😂

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2:37 was my favorite part 👌

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Tried the Third problem at the end, solved it, ty!

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I lowkey have been watching these even when im not even in math anymore so that i can keep my math skills

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Thanks professor JG

[@Gardiencotier13]

For those students using this as practice for homework, I recommend watching each problem twice, trying it yourself and continue until you can write the equation yourself, make sure you are not just memorizing the question though, memorize the methods.

[@HeinThuTun-o2v]

Thank you very much man. It helps me a lot.

[@olly.speaks]

3:05 I'm confused about where the "1 - sin^2 0" came from after "removing a 4". I assume it's by getting the square root of 4, which is 2 and would be put outside of the radical sign, but doesn't that instead come from "sin^2 0 + cos^2 0 = 1" trig identity? The present cosine is off to the side of the fraction. It's like it replaced " - 4 sin^2 0"

[@MM-wv4ez]

If I’m understanding your question correctly, he took out the 4 because it is a common factor in the two variables (basically he factorised) to get 4(1-sin^2theta). Then he used the trig identity you mentioned (just rearranged making cos^2theta the subject of the equation).

[@yuunaa7827]

@@MM-wv4ez I have a question too and hoping for someone to answer, why does the numerator still 4(1-sin^2theta), shouldn't it be 4(1-sin theta) only because 2^2 is already 4?

[@SpaghettiRuin]

The 4 comes out as root(4), which is 2. Under the sqrt is 1-sin squared, which is the identity for cos squared

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This guy u turn mathematics to water ...why are u this good and also in teaching

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love ur videos man thanks very much my whole confusion is gone

[@pangolinbinary8074]

1:55 where did dθ come from? (I understand that something has to go there, but I not quite understand the meaning of dθ in this context)

[@breadmster]

You can understand this by d(sin x)/dx = cos x You take the dx to the other side of the equation That becomes d(sin x) = cos x dx Hope that helps :)

[@Aetherakabane]

He is doing implicati differentiation there

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​@breadmsterlol its 1 year old comment

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the god tier tutor of the internet

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Happy teacher's day JG🎉🎉🎉

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Thank you for this lesson organic chem!

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For the last one, why can’t you do 9sec^3(arctan(x/3)) - 27sec(arctan(x/3)) + C?

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Thank you so much for the explanation!! 🥰🥰

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at 3:44 did he change a sin^2 to just a sin in the denominator or am i missing something

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I made a 94 on shell and washer method because of this man. I hope I can do the same with trig sub and integration by parts

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how'd you do?

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7:23 Timestamp

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posto x=2sint...ho -ctgarcsin(x/2)-arcsin(x/2)....-sqrt(4-x^2)/x-arcsin(x/2)

[@holyshit922]

I with integration by parts am able to calculate it in my mind a lot faster than 20 minutes

[@Athfan]

Hi, at the timestamp of 3:32 , did u make a mistake writing 2sinQ instead of 2sin^2 Q , or is that correct?

[@Athfan]

nvm, I just proceeded it and u corrected it, thanks, my bad