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

[@mwilakellys5523]

awesome

[@noah5756]

very helpful!

[@yousufzohair4342]

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

[@Ismaelkauga]

I couldn't access the full 1 hour video

[@martial-kr9yc]

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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@@citizencj3389 dude you have written what i needed in your comment , you saved my life , i will fight for you

[@deshawnburton7114]

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

[@BraceGD]

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

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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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How did you do it?

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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

[@jonathancurren5214]

@@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😐

[@restfulcube-notyet]

integration used to be so much simpler ... and then this came along

[@jonassal2676]

What the heck!?

[@khurshidbekkk2647]

I feel you man😢

[@MichealQuinm]

Calc II wasn’t the same after the trig sub dlc

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Honestly, I hope you succeed in whatever things you do. I wish you many more blessings in your life. You mean so much to your students. I hope you freaking go viral and gain many supporters. I don't understand how celebrities could be going viral for doing the mundane things, but our educators can't even get the recognition they deserve, as they are the ones actually changing lives. You guys deserve an award for all your hard work. I guarantee you that your hard work and dedication don't go unnoticed. We see you grinding and hustling, so thank you from the bottom of my heart. You are literally an underrated genius. Thank you so much, even words can't express how grateful we are for you. You always pull through at the right time for us all. Don't ever stop posting! I don't think I will stop watching your videos even if I finish school, just for the sake of learning and sharpening my skills. Knowledge is power and you inspire so many of us to keep learning no matter what.

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well spoken

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Studying is not fun and entertaining but music is entertainment thays why videos go viral

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@@t-gler4615 studying is fun when you're doing it independently

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@@Stickman_Productions we talking about maths

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bro literally named himself organic chemistry teacher then started teaching whatever tf we need Trust me he is the best guy to learn

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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😢

[@AzureSwiper]

"Now we gotta do some maff" 🤣

[@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.

[@karstenkunneman5219]

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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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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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?

[@johnlouiederayunan7851]

thanks. barely at the edge rn

[@cheekybum1513]

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

[@tek1645]

Unfortunately I only need calc 1 and 2

[@GIGATHEBOT]

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

[@nathankraft6102]

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

[@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.

[@josuequintero-td5gh]

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

[@nuridaw9586]

@@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.

[@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!

[@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.

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

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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.

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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

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

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[@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

[@batzuljohnthomas6094]

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!

[@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

[@SavannahStotts]

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

[@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?

[@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

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i might be cooked ngl

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Same

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I’m 100% cooked . Marinated, baked, sauteed and fried . Seasoned even

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@@bungle5899me… my test tomorrow

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Exam today. Im heavily cooked

[@bungle5899]

@symmz wait I also had this exam today , i think I at least got a 50 😎

[@lyndseystrait1513]

1:12 Full list of trig formats & associated x=a formulas. Problem 1 (1:18-8:45); Problem 2 (9:02-19:24)

[@elliewolcott6254]

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

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A part of my school fees should be given to this guy,,

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Best revision channel ngl

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In TheOrganicChemistryTutor We Trust

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

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7:23 Timestamp

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

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

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i just like listening to your voice honestly

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

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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.

[@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.

[@Snehorita]

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

[@ΔημήτρηςΜίαρης-Κοιλάδης]

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

[@user-fk5di4me9c]

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

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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.

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You are the reason I am understanding calc, bless you

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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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You are a lord and savior I was stuck on this

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Bruh I was confused about this and now you uploadef this🥺

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

[@silentintegrals9104]

😎

[@Rahmanyboss]

2:37 was my favorite part 👌

[@preston7246]

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

[@matthewhrndz]

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

[@preston7246]

@@matthewhrndz nice nice good luck on it man

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

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[@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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Better than my professor!

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I have not met a professor who you have not routinely outclassed

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You're a literal saint dude Thank you for all of your videos you have helped me tremendously with stats and calc!

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the god tier tutor of the internet

[@mattjw16]

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

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This channel is the goat

[@Loogia]

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

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my test is in an hour thank you so so much!!!

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[@giuseppemalaguti435]

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

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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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You are our life saviour !

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Thanks professor JG

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

[@amanielmeharena3885]

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

[@SHAHRIARMOSTAFA-il5fy]

please do a video on gamma and beta functions too i love your channel

[@abcdefghij7256]

Thank you for this lesson organic chem!

[@NaftaliSpodek]

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

[@doeverything7997]

17:28 - You lost your -27 sec theta

[@niyomizeropierrecelestin6018]

Thank you very much. I already understand what was complicated to me. May God bless you 🙏.

[@robiriggin1112]

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

[@clearflow7925]

how'd you do?

[@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

[@DesertSoldier_ii]

You’re a life saver

[@holyshit922]

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

[@jinnjinn5567]

Students can also use the derivatives of inverse trig functions to recall the proper trig substitutions d/dx arcsin(x) = 1/sqrt(1-x^2) d/dx arctan(x) = 1/(1+x^2) d/dx arcsec(x) = 1/(x * sqrt(x^2 - 1)) hyperbolic substitutions, too a*sinh(u) for a*tan(u) a*tanh(u) for a*sin(u) a*cosh(u) for a*sec(u) And you’ll see similar patterns with derivatives of hyperbolic trig functions

[@topgminset420]

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

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Thanks for this amazing video! Regards from Mexico!

[@virajfunhouse8491]

Can’t you just use u sub by doing some clever manipulation to the u statement?

[@MaharaMsefula]

The complexity in this technique 😮

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this video saved me

[@wakuwaku3190]

MERRY CHRISTMAS SIR! ❤

[@88duv]

Would there be a problem with giving the answer as: -cot(arcsin(x/2)) - arcsin(x/2) + c Instead of using the triangle?

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Thank you so much You're the absolute best

[@Kat-37i9]

When a 20 minute video teaches you more then a week of class

[@theforexacademy1827]

Where is the square of the sine in the denominator? U omitted it !

[@jeddx3270]

for the first one, can you replace 1-sin^2theta with cos^2theta and integrate cot^2theta

[@I61void]

I think I understood everything up to turning theta into arcsin(x/2)

[@deloybandawe421]

Thanks😊

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I don't know how to thank you! 😭😭😭😭❤️❤️

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What a professor, thank you so much