Integration By Trigonometric Substitution

แชร์
ฝัง
  • เผยแพร่เมื่อ 26 พ.ย. 2024

ความคิดเห็น • 170

  • @sunya6654
    @sunya6654 4 ปีที่แล้ว +466

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

    • @abiyyuyandra1065
      @abiyyuyandra1065 3 ปีที่แล้ว +2

      yeah bro

    • @CHEFWILLAY
      @CHEFWILLAY 2 ปีที่แล้ว +6

      this is still true btw

    • @objectoriented3049
      @objectoriented3049 ปีที่แล้ว

      Zip up his pants when you're done lil bro

    • @arthurngosa5926
      @arthurngosa5926 ปีที่แล้ว +1

      @@CHEFWILLAY for real no cap

    • @BerthaHamukwaya
      @BerthaHamukwaya ปีที่แล้ว +1

      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 ?

  • @lanepotts1046
    @lanepotts1046 ปีที่แล้ว +75

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

  • @emmacatte
    @emmacatte 6 ปีที่แล้ว +216

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

    • @ProfessorDaveExplains
      @ProfessorDaveExplains  6 ปีที่แล้ว +121

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

    • @melester2728
      @melester2728 3 ปีที่แล้ว +13

      @@ProfessorDaveExplains 🔭 ASTRONOMY

    • @happyjohn1656
      @happyjohn1656 2 ปีที่แล้ว +2

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

    • @fahad_hassan_92
      @fahad_hassan_92 ปีที่แล้ว +13

      @@ProfessorDaveExplains Bro knows everything

    • @abuabdullaahiwaaaishatah8235
      @abuabdullaahiwaaaishatah8235 ปีที่แล้ว

      th-cam.com/play/PLybg94GvOJ9HH55nqS_y_0ryk3foJ3kSX.html&si=VYGBbcHGR7nqABhR

  • @rachitagarwal610
    @rachitagarwal610 4 ปีที่แล้ว +47

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

  • @jethior
    @jethior 10 หลายเดือนก่อน +3

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

  • @jhooper0000
    @jhooper0000 หลายเดือนก่อน +1

    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.

  • @gekkouga2828
    @gekkouga2828 4 ปีที่แล้ว +22

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

  • @bifengxiao9300
    @bifengxiao9300 3 ปีที่แล้ว +13

    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!!

  • @dakshbadal7522
    @dakshbadal7522 4 ปีที่แล้ว +40

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

  • @albabelen5628
    @albabelen5628 3 ปีที่แล้ว +6

    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!

  • @eyoelgashaw5089
    @eyoelgashaw5089 3 ปีที่แล้ว +7

    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.

  • @junisaresilvosa9430
    @junisaresilvosa9430 3 ปีที่แล้ว +1

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

  • @shahrukhqaiser1745
    @shahrukhqaiser1745 6 ปีที่แล้ว +6

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

  • @POPFARRT
    @POPFARRT 5 หลายเดือนก่อน

    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.

  • @aaronzai
    @aaronzai 2 ปีที่แล้ว +4

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

  • @leobergmiller873
    @leobergmiller873 6 ปีที่แล้ว +5

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

    • @emilyhenegar7320
      @emilyhenegar7320 6 ปีที่แล้ว +1

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

  • @jasonb.6623
    @jasonb.6623 ปีที่แล้ว

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

  • @Elitea20
    @Elitea20 3 ปีที่แล้ว +7

    Professor Dave really knows everything

    • @fabianousim6716
      @fabianousim6716 2 ปีที่แล้ว

      just realized the same thing lmao

  • @knowledgeboy6137
    @knowledgeboy6137 5 ปีที่แล้ว +9

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

  • @reginalorenorcena7131
    @reginalorenorcena7131 4 ปีที่แล้ว +4

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

  • @EvilSandwich
    @EvilSandwich 3 ปีที่แล้ว +8

    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
      @snowman6199 หลายเดือนก่อน

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

  • @potatomudkip
    @potatomudkip 3 ปีที่แล้ว +1

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

  • @gamerprimeultimaxsupreme2776
    @gamerprimeultimaxsupreme2776 4 ปีที่แล้ว +1

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

  • @jkgan4952
    @jkgan4952 2 ปีที่แล้ว

    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!

  • @franzjarvybaconawa1082
    @franzjarvybaconawa1082 ปีที่แล้ว

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

  • @NoraEngbring
    @NoraEngbring 7 หลายเดือนก่อน

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

  • @IbrahimAkar1985
    @IbrahimAkar1985 7 หลายเดือนก่อน

    this is the best class i've seen.

  • @FrancMuwanguzi
    @FrancMuwanguzi 9 หลายเดือนก่อน +1

    This is really great thank prof DAVE

  • @TitaniumSporks.
    @TitaniumSporks. 2 ปีที่แล้ว +1

    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)

  • @pluto4301
    @pluto4301 3 ปีที่แล้ว

    This professor saves my grade every time

  • @mosshead_vinsmoke
    @mosshead_vinsmoke 7 หลายเดือนก่อน

    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
      @nerd2544 6 หลายเดือนก่อน

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

  • @SAL404w
    @SAL404w 9 หลายเดือนก่อน

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

  • @bubblesxo
    @bubblesxo 6 ปีที่แล้ว +4

    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 :)

  • @marcushendriksen8415
    @marcushendriksen8415 5 ปีที่แล้ว +32

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

    • @ProfessorDaveExplains
      @ProfessorDaveExplains  5 ปีที่แล้ว +20

      pretty please tell your friends about the channel!

    • @marcushendriksen8415
      @marcushendriksen8415 5 ปีที่แล้ว +14

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

  • @Kiky_MedPhysicist
    @Kiky_MedPhysicist 2 หลายเดือนก่อน

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

  • @papercorgi
    @papercorgi หลายเดือนก่อน

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

  • @Salamanca-joro
    @Salamanca-joro 8 หลายเดือนก่อน

    Dude no way you made everthing this simple

  • @mechikaboombayah4960
    @mechikaboombayah4960 6 ปีที่แล้ว +6

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

  • @shrujalagrawal3743
    @shrujalagrawal3743 6 ปีที่แล้ว +5

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

  • @blackpinkrevolution8731
    @blackpinkrevolution8731 3 วันที่ผ่านมา

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

  • @curtpiazza1688
    @curtpiazza1688 3 ปีที่แล้ว +1

    Wow! I wish I had you for calc!

  • @rogersmith-h2f
    @rogersmith-h2f ปีที่แล้ว +2

    Excelente explicación, usted explica perfecto amigo...

  • @sondosnagib6808
    @sondosnagib6808 3 ปีที่แล้ว +1

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

  • @nirupamam2814
    @nirupamam2814 4 ปีที่แล้ว +1

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

  • @parsasamandi569
    @parsasamandi569 22 วันที่ผ่านมา

    Thanks Professor Dave!

  • @johnholme783
    @johnholme783 ปีที่แล้ว +1

    Crystal clear! Thank you!

  • @crismiranda9188
    @crismiranda9188 4 ปีที่แล้ว +1

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

  • @kiraivanova1342
    @kiraivanova1342 ปีที่แล้ว +1

    This is so good. thank you!

  • @mr.madlad1210
    @mr.madlad1210 4 ปีที่แล้ว +2

    Thank you for this.

  • @joao-me1zf
    @joao-me1zf 2 ปีที่แล้ว +1

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

  • @mryup6100
    @mryup6100 4 ปีที่แล้ว +4

    This guy is amazing!!! 💯

  • @kashifhussains2951
    @kashifhussains2951 3 ปีที่แล้ว

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

  • @thomascarter8833
    @thomascarter8833 ปีที่แล้ว +1

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

  • @reginalorenorcena7131
    @reginalorenorcena7131 4 ปีที่แล้ว

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

  • @janmarcusteves725
    @janmarcusteves725 7 หลายเดือนก่อน

    Bro this did clarify everything, tysm

  • @therealaim-9xmissile
    @therealaim-9xmissile หลายเดือนก่อน +1

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

  • @dana-ff9cf
    @dana-ff9cf ปีที่แล้ว

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

  • @curtpiazza1688
    @curtpiazza1688 3 ปีที่แล้ว

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

  • @dwarf2125
    @dwarf2125 ปีที่แล้ว

    U made it so easy bro appreciate it

  • @Minespidur
    @Minespidur 6 ปีที่แล้ว +2

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

  • @aashsyed1277
    @aashsyed1277 3 ปีที่แล้ว +1

    Ill give you 1 million dollars for this. Thanks.

  • @RadoHudran
    @RadoHudran 2 ปีที่แล้ว +2

    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
      @wisegamer706 ปีที่แล้ว +1

      Not a correction. Just another way of doing it.

  • @joshuareyes1560
    @joshuareyes1560 3 ปีที่แล้ว +1

    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.

  • @manpierre571
    @manpierre571 2 ปีที่แล้ว +2

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

  • @curtpiazza1688
    @curtpiazza1688 3 ปีที่แล้ว

    Brilliant concise explanation!

  • @zzzzzzzjsjyue2175
    @zzzzzzzjsjyue2175 2 ปีที่แล้ว

    best vid ive seen on this

  • @user-yg97f5hfvh
    @user-yg97f5hfvh 5 ปีที่แล้ว

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

  • @lawrenceitable8038
    @lawrenceitable8038 2 หลายเดือนก่อน

    thank you dave

  • @jds189
    @jds189 4 ปีที่แล้ว +14

    brain hurty

  • @JesusMartinez-zu3xl
    @JesusMartinez-zu3xl 2 ปีที่แล้ว

    I actually understand this! thank you

  • @dessy8634
    @dessy8634 6 ปีที่แล้ว +2

    I am from Ghana
    you are the matrix of calculus

  • @Divine_Discoveries
    @Divine_Discoveries ปีที่แล้ว

    toughest video till now, but i completed it

  • @andrewgarcia9976
    @andrewgarcia9976 ปีที่แล้ว +2

    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

  • @quantum5840
    @quantum5840 6 วันที่ผ่านมา

    you have saved me

  • @مهندالمطيري-ش5ظ
    @مهندالمطيري-ش5ظ 4 ปีที่แล้ว +1

    Thanks 🙏🏻 .

  • @siausoonhong6905
    @siausoonhong6905 3 ปีที่แล้ว +1

    Best Ever

  • @BobbyC-be9vy
    @BobbyC-be9vy 2 ปีที่แล้ว +1

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

  • @AS-is2di
    @AS-is2di 4 ปีที่แล้ว +1

    Grigory Perelman! Is that you!?

  • @khloetran69
    @khloetran69 4 ปีที่แล้ว +1

    Awesome video thanks a lot

  • @Thee_Contented
    @Thee_Contented 2 ปีที่แล้ว

    Very educational indeed

  • @AceOfHearts001
    @AceOfHearts001 ปีที่แล้ว

    Brilliant, thank you

  • @freyappari
    @freyappari 9 หลายเดือนก่อน

    Thank you brotherrrr

  • @krishgoogol8653
    @krishgoogol8653 3 ปีที่แล้ว +1

    Thanku so much sir🙏🙏

  • @naseralhamwai7627
    @naseralhamwai7627 3 ปีที่แล้ว

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

  • @dilanurkok5316
    @dilanurkok5316 3 ปีที่แล้ว +1

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

  • @aamir1290
    @aamir1290 ปีที่แล้ว +1

    May Allah bless you Professor Dave 🙏🙏

  • @aashsyed1277
    @aashsyed1277 3 ปีที่แล้ว +1

    0:46 5 actually

  • @starrk_sama
    @starrk_sama 7 หลายเดือนก่อน +8

    I hate engineering lmao

    • @friedhegg8874
      @friedhegg8874 3 หลายเดือนก่อน

      Then don’t try and be an engineer lol

    • @mariyaaltaf8025
      @mariyaaltaf8025 2 หลายเดือนก่อน

      Us moment!!

  • @beegil911
    @beegil911 4 ปีที่แล้ว +2

    man this thing is hard

    • @beegil911
      @beegil911 4 ปีที่แล้ว +1

      its like nightmare

  • @skat3r430
    @skat3r430 4 ปีที่แล้ว +2

    Bro this is so hard

  • @Jake-uo3ne
    @Jake-uo3ne 6 หลายเดือนก่อน

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

  • @seraph4143
    @seraph4143 หลายเดือนก่อน

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

  • @yerushaleyim3655
    @yerushaleyim3655 5 ปีที่แล้ว +1

    Thank u..

  • @aryanchauhan113
    @aryanchauhan113 ปีที่แล้ว

    THNKS REALLY HELPFULLLLL

  • @TheSkilledTroll10
    @TheSkilledTroll10 4 ปีที่แล้ว +1

    Do you have integration by partial fractions

  • @platysmemes7663
    @platysmemes7663 2 ปีที่แล้ว

    thanks!!

  • @tGoldenPhoenix
    @tGoldenPhoenix 3 ปีที่แล้ว

    Done.

  • @adityaadit2004
    @adityaadit2004 4 ปีที่แล้ว +1

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

  • @the_african_nightmare66
    @the_african_nightmare66 23 วันที่ผ่านมา +1

    Wow

  • @danielalexanderreyespineda1131
    @danielalexanderreyespineda1131 5 ปีที่แล้ว +2

    u r fantastic