Integration By Trigonometric Substitution

[@sunya6654]

Professor Dave deserves our tuition fee. I'm learning effectively to him rather than university professors tbh

[@abiyyuyandra1065]

yeah bro

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this is still true btw

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Zip up his pants when you're done lil bro

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@@CHEFWILLAY for real no cap

[@BerthaHamukwaya]

Hi Professor Dave... Thank you very much for this video, kindly assist me on when exactly do we need to draw that right angled triangle ??😮 Is it always when we have the trig substitution or ?

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Dude this is the hardest thing I’ve done in my life thanks for making it a little easier

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Professor Dave has carried me through Ochem and now Calc 2. If only he did microbio

[@ProfessorDaveExplains]

well i did biology and biochemistry, did you see those? microbiology will be coming soon, maybe early next year!

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@@ProfessorDaveExplains 🔭 ASTRONOMY

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@@melester2728 🔭 ASTRONOMY 2:45 AM (yep!) 2/15/2022

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@@ProfessorDaveExplains Bro knows everything

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No matter how hard the topic is, his intro makes it all look good!!

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oh my God! it takes me only 15 min to understand what our lecturer hasn't explained efficiently for one year. even here on KZbin except yours. thanks a lot my mentor!!

[@bifengxiao9300]

This is just awesome. Every single time I felt confused in my college calculus lectures, I come to this channel!! Thanks for making math seem fun and understandable!!

[@gekkouga2828]

Thanks, Professor Dave, for giving a base in doing integration! I am now confident to work out any integration problem.

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If you want him to earn money but can't afford patreon, just watch the whole of the skippable ad.

[@albabelen5628]

did the last exersise perfectly! Honestly, I thought I'd write some short resume I wouldn't fully understand with this video. I ended up writing a whole page with every example and in-betweens you did. I don't regret it, because I understood everything, and I won't struggle to remember it. Thank you so much for your easy explanations! You make integration seem so much easier!

[@jhooper0000]

This man does in 15 minutes what my professor is unable to do in 4 hours. Thank you Professor Dave for getting me through calculus.

[@eyoelgashaw5089]

you're a living legend you know that!! my professor tried his best but not enough. If only Feynman was here to see ur tutoring skills. Also i am deeply waiting for your ODE and PDEs in addition to any programming languages. i want to see you in Khan Academy level. having ur own website and all.

[@shahrukhqaiser1745]

(Cos theta / sin² theta) = cot theta/ sin theta =cot theta cosec theta Could have used that too. Thanks for the video. Great explaining. 👍

[@leobergmiller873]

PROFESSOR DAVE YOU ARE MY HERO PLEASE POST THE REST OF YOUR CALCULUS VIDEOS TONIGHT I HAVE THE AP CALCULUS BC EXAM TOMORROW

[@emilyhenegar7320]

Leo Bergmiller Please Professor Dave. Any more material you could release would save me on the exam tomorrow

[@junisaresilvosa9430]

my online class proffesor only reads his presentation and doesn't it that much. Proffesor Dave you really helps me.

[@POPFARRT]

I watched 3 people try to teach these 3 concepts, what you did differently is explain the trig substitution's and identity's. I also like how you did not go to the next step, without mentioning exactly what you did(even if it was small) . Also starting off small before performing a problem Great work.

[@EvilSandwich]

Can we just have a round of applause for the poor overworked mathematician that figured out this trig subbing mess centuries ago from scratch with NO help, so we didn't have to?

[@snowman6199]

yeah good for him this integration method is insane I hate it

[@aaronzai]

Wow, didn't know cal2 could be that simple. Thanks for your magic!

[@Elitea20]

Professor Dave really knows everything

[@fabianousim6716]

just realized the same thing lmao

[@knowledgeboy6137]

i thought this is very hard you prove me wrong thank you Professor

[@jasonb.6623]

I wish this video had been around when I took Calc II in 2002 ... this makes so much more sense.

[@jkgan4952]

Yo this is kinda cool. I found out that trig substitution is basically u substitution in reverse. Instead of finding the integral of f(x)dx, we find the integral of f(g(x))g'(x)dx. This integral is going to be F(g(x))+c. And if we resub x back for g(x), we get F(x)+c. Pretty neat technique!

[@mosshead_vinsmoke]

I skipped all my cal-1 and anything related to trig's during my highschool and here i am in clg taking maths & computing as major , ive delved in many2 videos and channels and i think your videos are always the best in explaining things and why/how we tackle them down Thank you for this amazing Channel and lectures

[@nerd2544]

another computerfield + math 🔥 i didnt skip but just forgot high school calc

[@potatomudkip]

had to watch the video twice but i understand it a lot better now

[@mechikaboombayah4960]

You explain so nicely!!!!! #RespectToProfessorDave #FromIndia

[@FrancMuwanguzi]

This is really great thank prof DAVE

[@reginalorenorcena7131]

Thank you so much Professor Dave😍! This is a big help to my exam.

[@franzjarvybaconawa1082]

Those tips helped me understand trig sub a lot more than before

[@Kiky_MedPhysicist]

Thank you sir for your dedication and for making this free! 🙏

[@bubblesxo]

thank you so much! your videos are really helpful love the visuals and how everything is taught in a concise matter under 20 minutes. i am looking forward to using your videos to tackle on organic chem this school year :)

[@NoraEngbring]

this made the most confusing thing I've ever done slightly less confusing, every time you help

[@gamerprimeultimaxsupreme2776]

Thank you so much for this. This video has made trig subs a lot more understandable.

[@curtpiazza1688]

Wow! I wish I had you for calc!

[@TitaniumSporks.]

My gosh thank you so much for this video. It really made this topic click for me (for the most part, still struggling with back substitution, but I think that's due to how long it's been since I initially learned trig identities)

[@shrujalagrawal3743]

YOU MADE MY LIFE MUCH EASIER. THANKYOU SO MUCH. PLEASE MAKE VIDEOS ON ALL THE CHAPTERS FROM MATHS HL IB :D

[@thomascarter8833]

This video is amazing, I love how slowly and clearly you explain!

[@rogersmith-h2f]

Excelente explicación, usted explica perfecto amigo...

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Your videos have criminally few views, it makes me sad :(

[@ProfessorDaveExplains]

pretty please tell your friends about the channel!

[@marcushendriksen8415]

@@ProfessorDaveExplains Oh I have, but I'll certainly continue to spread the gospel!

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This an insanely good way to teach a hard subject, G professor

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thank you to my friend for recommending professor dave, i finally understood how this works :D

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thank you so much< i was literally looking for this explanations for so long. so happy you made this video

[@IbrahimAkar1985]

this is the best class i've seen.

[@RadoHudran]

One small correction at 12:00 cos θ/sin^2 θ is equal to cot θ . csc θ which can be directly integrated to -csc θ + C instead of the u substitution

[@wisegamer706]

Not a correction. Just another way of doing it.

[@andrewgarcia9976]

Professor Dave, do you have some sort of pdf version of this whole series that can be quickly referenced? I would seriously pay money for it

[@ProfessorDaveExplains]

I do not but I had thought of that before, maybe some day!

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Crystal clear! Thank you!

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This guy is amazing!!! 💯

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This professor saves my grade every time

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This is so good. thank you!

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Dude no way you made everthing this simple

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this is so helpful thank you so much. wish I knew this channel before

[@parsasamandi569]

Thanks Professor Dave!

[@jds189]

brain hurty

[@kevinkelly6492]

lmao same

[@user-yg97f5hfvh]

You might sub x=acos(theta), x=acot(theta), x=acsc(theta)

[@mr.madlad1210]

Thank you for this.

[@Minespidur]

Thanks so much for the videos! You should make content on multivariable calc!

[@ProfessorDaveExplains]

i did that! keep going through the series.

[@curtpiazza1688]

Thanx Prof. Dave! I wish I had you for calc.!

[@blackpinkrevolution8731]

Thank you sir ! It was a great revision for my jee exam! Love from india❤

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Ditching my college prof and joining the prof dave army✊🏻

[@dessy8634]

I am from Ghana you are the matrix of calculus

[@janmarcusteves725]

Bro this did clarify everything, tysm

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May u have all the happiness and peace in ur life💙

[@reginalorenorcena7131]

Thank so much Professor Dave😍! This is a big help to my exam in Calculus 2💗

[@naseralhamwai7627]

Why did you not take the absolute value of tan& , tan& is different in this case since. -pi/2

[@crismiranda9188]

Will have a quiz in a few hours thank you for your help!

[@nirupamam2814]

You're a doctor.. because you vanished my tension about this calcus

[@dwarf2125]

U made it so easy bro appreciate it

[@therealaim-9xmissile]

Calc 2 got us fucked up but we must stay strong brothers

[@aashsyed1277]

0:46 5 actually

[@curtpiazza1688]

Brilliant concise explanation!

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you are the master professor....I have to pay the fees for sure 😆

[@zzzzzzzjsjyue2175]

best vid ive seen on this

[@aashsyed1277]

Ill give you 1 million dollars for this. Thanks.

[@Jake-uo3ne]

If √9-x² was a denominator, what would be the first step to solve it?

[@seraph4143]

Hey Dave, do you have a video on partial fraction decomposition on your channel? That would really help me out!

[@ijazulhaq6078]

on 7 12 how 1 is change to teta in csc*2 Q -1

[@yamkelabalisa7330]

but why \int \:x^3\sqrt{x^2-1}dx is not working?

[@adityaadit2004]

Can I choose x = a cos O for sqrt(a^2 - x^2) instead of x = a sin O ?

[@BobbyC-be9vy]

Very clear and methodical explanation. Just wish he’d use arcsin to denote inverse sine.

[@NewWesternFront]

why

[@JesusMartinez-zu3xl]

I actually understand this! thank you

[@siausoonhong6905]

Best Ever

[@TheSkilledTroll10]

Do you have integration by partial fractions

[@lawrenceitable8038]

thank you dave

[@swaggodoverlord69]

I thought I worked out the last problem wrong as everything cancelled, but I'm glad I did it right xD Great video! Saved me for sure.

[@khloetran69]

Awesome video thanks a lot

[@shaheenbean]

At 8:40, is it a coincidence that "a" on the right triangle was equal to the numerator in the original problem, or is there an actual connection?

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May Allah bless you Professor Dave 🙏🙏

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Thanku so much sir🙏🙏

[@silentintegrals9104]

totally agree!

[@مهندالمطيري-ش5ظ]

Thanks 🙏🏻 .

[@AceOfHearts001]

Brilliant, thank you

[@Divine_Discoveries]

toughest video till now, but i completed it

[@dilanurkok5316]

You are great. I am appreciated. Thank you :))))

[@Thee_Contented]

Very educational indeed

[@unusualfrog779]

where does the tan in the denominator in the comprehension question come from?

[@maimomirabel2685]

I have a worry here the numerator has 9 and x^2 substituting x from the original function was thinking u will just substitute in the given function as it is

[@beegil911]

man this thing is hard

[@beegil911]

its like nightmare

[@freyappari]

Thank you brotherrrr

[@NahumMisge]

Dear Proffessor cant we use x = acosθ instead of asinθ?

[@AV4Life]

Technically you can, but you’d have an unnecessary negative sign to deal with. It’s better to use sin.

[@Localpref416]

How do you get the 1 for a^2 - a^2 sin^2(x) = a^2(1-sin^2(x)). How does that simplify at all?

[@sactornogaming]

You factor out a^2

[@topapo3661]

1-sin^2(x)=cos^2(x), so it becomes a^2 cos^2(x), whose square root is a cos(x)

[@the_african_nightmare66]

Wow

[@skat3r430]

Bro this is so hard

[@AS-is2di]

Grigory Perelman! Is that you!?