Trigonometric Substitution - Example 1

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patrickJMT

patrickJMT

13 жыл бұрын

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) / patrickjmt !! Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) / patrickjmt !!
Please buy my book!: '1001 Calculus Problems for Dummies' - you can get it on my website: patrickjmt.com/
Trigonometric Substitution - Example 1. Just a basic trigonometric substitution problem (still long though!). I show the basic substitutions along with how to use the right triangle to get back to the original variable.

Пікірлер: 739
@misterkmo
@misterkmo 10 жыл бұрын
I just love how the majority of the examples you do, you do them in permanent marker.....no mistakes, such a beast.
@ringo3650
@ringo3650 9 жыл бұрын
misterkmo May be sir just redo everything when he got a slight mistake.
@jaimeboston2384
@jaimeboston2384 2 жыл бұрын
I know im asking the wrong place but does anybody know a tool to log back into an Instagram account? I somehow lost my password. I love any assistance you can offer me
@jimmyrandy8251
@jimmyrandy8251 2 жыл бұрын
@Jaime Boston Instablaster =)
@jaimeboston2384
@jaimeboston2384 2 жыл бұрын
@Jimmy Randy Thanks so much for your reply. I got to the site through google and im waiting for the hacking stuff atm. Takes quite some time so I will get back to you later with my results.
@jaimeboston2384
@jaimeboston2384 2 жыл бұрын
@Jimmy Randy it did the trick and I now got access to my account again. I'm so happy:D Thank you so much, you saved my account!
@BombedNevada
@BombedNevada 8 жыл бұрын
That moment when patrick JMT drops a sick beat while doing calculus. (12:09)
@chaseallbright5658
@chaseallbright5658 7 жыл бұрын
This made me laugh a little more than it should have.
@alexanderwouters3888
@alexanderwouters3888 7 жыл бұрын
This is the most funny thing I heard today, youre awesome
@diy-projects
@diy-projects 5 жыл бұрын
hahahahaha
@buttcracker72
@buttcracker72 5 жыл бұрын
hahhaha DJ JMT!
@s0ndosodn0s
@s0ndosodn0s 4 жыл бұрын
4 Years later, I'm still laughing at this. I love the internet!
@Peter_1986
@Peter_1986 10 жыл бұрын
I have learned more about integration from patrickJMT than from my math book, seriously.
@davidontiveroz8295
@davidontiveroz8295 10 жыл бұрын
Pat I would venture to say that you have single-handedly affected more future scientists and engineers than any other man in the world with these videos. thanx
@EmoKratiko
@EmoKratiko 8 жыл бұрын
I can't imagine how many all-nighters I pulled just to watch his videos and understand everything so clearly. It makes calculus so easy cuz of him. :D By the way it's 2:59am RN and still seating on my chair listening to this guy. Thanks for saving my grades!
@ryanhessong8460
@ryanhessong8460 5 жыл бұрын
I realize you may not see this comment since the video is so old, but during the summer I took Calculus 1 online and didn't buy the book, because I knew I'd have your videos. This content should not be free and yet it is. It helped me get an A in Calculus 1 and now this semester I am in Calculus 2, I yet again didn't buy the book and am relying on your insightful videos. You help immensely and are the secret to my math success in college. Thank you Patrick.
@patrickjmt
@patrickjmt 5 жыл бұрын
glad i could help! and why shouldn't this content be free? :)
@RedRogue
@RedRogue 10 жыл бұрын
I cannot express in words how much I love you for this right now.
@shadow90004
@shadow90004 6 жыл бұрын
RE S I was filled with despair but this video showed me true hope
@patrickjmt
@patrickjmt 13 жыл бұрын
@hunterwilbanks donation link on my website ; ) feel free to send as much as you like!
@smexy1856
@smexy1856 9 жыл бұрын
How many people made this far(Calculus II)? We are absolutely minority.
@verahavlicek
@verahavlicek 8 жыл бұрын
+SMEXY! Nah, man. You're in a minority once you finish diff eqs. and linear algebra.
@marcushines4172
@marcushines4172 8 жыл бұрын
+Victoria Havlicek Abstract Algebra
@verahavlicek
@verahavlicek 8 жыл бұрын
Marcus Hines My point is that you're in a minority once you finish courses that emphasize computation.
@aliyuksel9266
@aliyuksel9266 8 жыл бұрын
+SMEXY! i took calc 1, calc 2, calc 3 and diff eq, then transfered to a diff school, but couldnt get calc 2 to transfer (grade below a c), so im taking it again..one would think its not as hard...but nope..here i am watching these videos...again, and thank you +patrickJMT
@twinofny
@twinofny 8 жыл бұрын
I did up to Linear Algebra and ODE
@valcon45
@valcon45 12 жыл бұрын
You are the only person in my life who explains math in an organized, straightforward, easy to understand way. THANK YOU. My math professor writes on 6 boards maybe 10 times during class and I just give up, but you sir, thank you
@GloryRainTV
@GloryRainTV 10 жыл бұрын
"Hallelluyah we have our solution lol"
@MarkMcDaniel
@MarkMcDaniel 6 жыл бұрын
*Hallelujah. A fair misspelling considering it is not a common word.
@errnita
@errnita 10 жыл бұрын
Wow, i actually get it now. My professor skipped like 10 million steps during lecture
@aidenhale8017
@aidenhale8017 10 жыл бұрын
They have a habit of doing that
@nikolaystepanov463
@nikolaystepanov463 6 жыл бұрын
Yea. So did mine
@whatshouldwecallyou9503
@whatshouldwecallyou9503 5 жыл бұрын
did u graduate yet
@thewatcherlollol
@thewatcherlollol 5 жыл бұрын
@@whatshouldwecallyou9503 probably
@spb1179
@spb1179 4 жыл бұрын
Lol they do that too often
@robmiles2780
@robmiles2780 8 жыл бұрын
Just wanted to say thank you for doing the Lord's work
@patrickjmt
@patrickjmt 8 жыл бұрын
+Rob Miles jesus, math teacher extraordinaire
@JonLG490
@JonLG490 8 жыл бұрын
+Rob Miles thanks for the laugh
@populer208
@populer208 10 жыл бұрын
"I'm not lazy; I'm efficient" haha
@Mrthatguyyouknowable
@Mrthatguyyouknowable 7 жыл бұрын
I will pass calculus 2 because of you. You're the hero this world needs. Keep doing amazing work
@z2zAaronz2z
@z2zAaronz2z 8 жыл бұрын
It's 1:01 AM right now and I got what I needed from you for my midterm in a 9 hours. Subscribed since 2013 and still going, thanks Patrick.
@Tfelde
@Tfelde 5 жыл бұрын
lol got an ad before that said "are you sick of youtube video from 2006"...why no, no im not. these video's are timeless and absolutely perfect. thanks for helping everyone pass calc 2 for free, keep on keeping on.
@mrqueem1703
@mrqueem1703 5 жыл бұрын
how do u hear video? mine wont play audio? :x
@tamzidchowdhury472
@tamzidchowdhury472 4 жыл бұрын
God Bless You, I was literally about to cry in the class when my professor was explaining this.
@psford1
@psford1 12 жыл бұрын
It never fails me how amazing it is how much easier it is to understand this stuff when this guy teaches it. You truly have a gift. It may as well be a foreign language when my profs teach this!
@songgalackchoi5556
@songgalackchoi5556 9 жыл бұрын
I ve watched his video as soon as I `ve had too much trouble with Math. He helped me a lot and he `s better than my teachers ever! Thank you for sharing this awesome video!
@wootenwannabe
@wootenwannabe 13 жыл бұрын
Once again you've explained something clearly in 14 minutes that a professor couldn't explain in an hour and half of lectures. Not only do you do it in a way that's understandable, you show WHY I'm doing this, my book and professor just assumed I knew that I was factoring the 'a' out. My book doesn't even have the triangle trick. YOU ARE GOD!
@TheHunterc12
@TheHunterc12 8 жыл бұрын
Love the way you go over examples and show every step. Don't even know why i go to class when my teacher doesn't know how to explain!
@MritsHunter
@MritsHunter 10 жыл бұрын
Even though I have a great calculus teacher I love going to you for your videos. They help solidify the concepts and sometimes help me wrap my head around some concepts. Thank you.
@123killermiller123
@123killermiller123 9 жыл бұрын
Man I got a Calc 2 exam tomorrow and I think you might have just saved my life!!!
@cadencesweetser6907
@cadencesweetser6907 7 жыл бұрын
did he save your life
@brianhernandez8311
@brianhernandez8311 7 жыл бұрын
Are you still alive? I got a calc 2 midterm tomorrow aswell
@joebilly1907
@joebilly1907 7 жыл бұрын
No response. Guess he didn't make it...
@dwwwwwwwwwwwwwwwwwwwwwww
@dwwwwwwwwwwwwwwwwwwwwwww 5 жыл бұрын
Joe Billy they tend to throw curve balls on exams. He should have taken this basic explanation video and applied it to more challenging problems before his exam!
@tacuachillo4308
@tacuachillo4308 7 жыл бұрын
Me : hey sis, have you seen a pencil? I'm about to study math. Sister : There's a pen right there....why don't you use the pen? Me : I'm no patrickJMT, I'm not at that level...
@j.deleos1412
@j.deleos1412 10 жыл бұрын
Your videos are very helpful. Thanks for all the hard work and for making these videos free.
@Mustang5Speed
@Mustang5Speed 13 жыл бұрын
You never fail to help me understand even the most complex problems. You are an excellent teacher. Thank yiu so much for these amazing down to earth and free explanations
@saravinothini4611
@saravinothini4611 8 жыл бұрын
I'm a student from Malaysia and your videos had been extremely helpful . Thank you so much !
@keatonwright5764
@keatonwright5764 5 жыл бұрын
i watch your videos for quick refreshers every time I have to tutor someone. I appreciate your videos greatly
@MrKingoverall
@MrKingoverall 6 жыл бұрын
I love you Patrick. I'm sure you saw this post on another one of your videos, but again I say thank you. You are the reason I graduated man.
@EE12345
@EE12345 6 жыл бұрын
Such a good channel. You explained everything perfectly, no skipping steps but still so concise. Thank you.
@patrickjmt
@patrickjmt 6 жыл бұрын
glad i could help :)
@MrDapper21
@MrDapper21 7 жыл бұрын
6 years later and still the best tutorials i've seen!
@mtoldroyd
@mtoldroyd 11 жыл бұрын
Patrick I can't even tell you what a help your videos have been to me. My Calc 2 final is tomorrow, and I'm going back over my practice test, when I come across this trig sub question, but I've totally forgotten how to know which one to use... Then I just look up your trusty videos, and you saved the day again! You're a saint.
@TIIJIVIL
@TIIJIVIL 11 жыл бұрын
This channel is a blessing from beyond. My math prof comes nowhere close in comparison to your clarity.
@dereksellers4361
@dereksellers4361 9 жыл бұрын
you sir, are a saint because I cannot understand one thing my professor is doing, and you made it 200x easier! thank you
@babbababbalala46
@babbababbalala46 6 жыл бұрын
You go faster than the other videos but not too fast, so at my level, your speed is perfect and thanks for the free math help i am getting of you. Be blessed.
@mattsheehan7285
@mattsheehan7285 6 жыл бұрын
thanks for making this topic easy to understand, keep it up Patrick.
@ryanromigh419
@ryanromigh419 4 жыл бұрын
You have outdone 2 weeks of my professor's lectures in 14 minutes and 8 seconds.Thank you for being you
@patrickjmt
@patrickjmt 4 жыл бұрын
glad i could help you out
@chadlorocl
@chadlorocl 10 жыл бұрын
Thank you so much! I really love your detailed solutions! Helping me to get through first year Calculus :)
@X35max5
@X35max5 12 жыл бұрын
This is more then helpful! I am now able to understand the entire concept of these kind of problems... I was so lost in class and you just made it clear... I understand it so perfectly now. Thank you so much! I wish you had an Idea of how much help this is to me!
@jmmtcidc
@jmmtcidc 12 жыл бұрын
So far this semester, I haven't attended a single lecture for my Calc II class. I watched like 10 of your videos the night before my midterm and I aced it. You are my hero...
@shivambahukhandi9157
@shivambahukhandi9157 6 жыл бұрын
Thank you Patric, I learnt a lot from your videos (especially calculus)
@ebtihal3035
@ebtihal3035 7 жыл бұрын
my exam is in 3 hours , i almost gave up on this section, THEN I WATCHED THIS ! it helped me a lot!!! im actually solving problems now! THANKYOU GOD BLESS YOU
@daniemarie4884
@daniemarie4884 12 жыл бұрын
Thank you so much for posting this! I just learned more in 15 minuted from your video than I have in 2 hours of my calc class!!!!!!
@MG42Power
@MG42Power 5 жыл бұрын
Great video and clear instructions! Thank you!
@robertjr8205
@robertjr8205 Жыл бұрын
Needed this to refresh my memory. Taking differential equations next semester and need to re learn integration techniques.
@RECxLESS
@RECxLESS 12 жыл бұрын
You're the man. You should have seen the looks on my calc classes' faces when my teacher (who speaks little english) introduced this topic after we were still reeling from trig integrals. Priceless lol, but as always I come to your videos and understand everything. Truly thanks.
@Monerasauce
@Monerasauce 12 жыл бұрын
You're so much neater and more organized than the instructor at the math review I went to today!
@marlimoller1933
@marlimoller1933 7 жыл бұрын
So I'm from South Africa and I'm also doing calculus. Since watching your videos after my first test till now, my marks have improved by almost 40%. I am writing a test again this week so I just bought your book (yikes to the Rand/Dollar ratio), but thank you for the great videos and all the help!
@ramshambo2001
@ramshambo2001 13 жыл бұрын
Thank you so much for posting this, all your hard work is much appreciated!
@TrueDarkness
@TrueDarkness 13 жыл бұрын
You're such a good teacher that your videos don't even require sound and I understand them
@MichelLongtin
@MichelLongtin 13 жыл бұрын
Really Patrick, you are a blessing, I'm a 65 year old composer who decided to learn calculus; I followed the full 18.01 at MIT and got lost: But with you it is pure poetry a beatiful game and your pedagogy is EXCELLENT, I know I am an emiritus teacher at university of Montreal (music). Thans a thousand times. Michel
@lahirusamarakkody7188
@lahirusamarakkody7188 8 жыл бұрын
Saved my life again! Thank You So much for doing these videos.
@lncg10
@lncg10 13 жыл бұрын
You're videos are so helpful!!!! thank you so much!
@annea1663
@annea1663 10 жыл бұрын
Thanks for taking the time to post these.
@18temi
@18temi 13 жыл бұрын
THANK YOUUUUUUUUUUUUUU!!!!!!! This video was so helpful! Best help I've received thus far from all your videos. They were helpful as well but this was HELPFUL!
@anniemis7120
@anniemis7120 10 жыл бұрын
I could never understand my Calc BC class without your help, thank you soo much!
@2toasty
@2toasty 7 жыл бұрын
Wow, I actually understood this, khanacademy and my textbook kept confusing me
@patrickjmt
@patrickjmt 7 жыл бұрын
come here first. my videos are better.
@iWinGamer
@iWinGamer 7 жыл бұрын
patrickJMT we know :)
@ldhy1202
@ldhy1202 7 жыл бұрын
this guy is amazing :v
@visionary6498
@visionary6498 7 жыл бұрын
For real those Khan videos suck lol
@StephenCurry-ff4zc
@StephenCurry-ff4zc 7 жыл бұрын
If khan Academy confuses you, then you probably have a below average IQ. How do u not understand that man? smh
@JustAnotherKyd
@JustAnotherKyd 10 жыл бұрын
This guy is my favorite math tutor lol. Well done, great video.
@DragonDePlatino
@DragonDePlatino 9 жыл бұрын
Thank you so much! I understood this pretty well already, but showing how to work out that right triangle saved me from having to memorize a chart. :D
@digit0lchica04
@digit0lchica04 13 жыл бұрын
My Calc 2 teacher only confuses me more. I really appreciate all the examples. It helps so much with my homework and makes me like math! You should be a college professor if you are not already since you seem to have a gift in explaining complex things.
@aneishajay7949
@aneishajay7949 5 жыл бұрын
these videos r really helpful. awesome content!
@AvengedRocker92
@AvengedRocker92 12 жыл бұрын
Nice Job, Really helped me out with my classwork, and found some new methods of substitution Thankx!
@UnicornOnTheCob16
@UnicornOnTheCob16 13 жыл бұрын
Wow. How convenient. I was just getting ready for a trig sub lab, and this video helped me out big time. You are basically my calc professor
@kajiya6359
@kajiya6359 11 жыл бұрын
Thanks for video and explaning everything part by part
@persondude911
@persondude911 12 жыл бұрын
thanks a lot man! i really needed to know how to do this and you helped a lot!
@Andreas_XD
@Andreas_XD 9 жыл бұрын
lol finally clarified what i was confused about in the last step…THANK YOU !
@valentinodrachuk5692
@valentinodrachuk5692 2 жыл бұрын
The video I needed. Thanks, very clear
@mrmoonmini
@mrmoonmini 2 ай бұрын
really inspiring using substitution by trig it helped me a lot in integration topic
@Kevcom2
@Kevcom2 13 жыл бұрын
thanks PatrickJMT! Your tutorials are much easier to digest than the material in James Stewart's Calculus Early Transcendentals!
@hmmm8158
@hmmm8158 5 жыл бұрын
Splendidly well explained!!!
@silindeng2058
@silindeng2058 9 жыл бұрын
I love your video! It really help me a lot!
@nomcebomabasonomcebomabaso245
@nomcebomabasonomcebomabaso245 6 жыл бұрын
you are the life saver bro just up keep the good work,you are appreciated a lot.
@cinnguyen2192
@cinnguyen2192 11 жыл бұрын
WOW that this video was so helpful. I missed lecture for this topic and after watching the video don't feel behind at all! You ROCK! :)
@yucky1336
@yucky1336 13 жыл бұрын
man great timing. i just learned this lesson today. love you man
@herbywal64
@herbywal64 10 жыл бұрын
Very clearly done. Thanks Patrick.
@nielpatel6572
@nielpatel6572 Жыл бұрын
your videos are so helpful thank you
@faru947
@faru947 9 жыл бұрын
Thank you very much ..... U just saved me from screwing up in exams ..... And now I m 100% confident that I can skip my calculus classes and Patrick will save me XD
@killerABcs
@killerABcs 12 жыл бұрын
I got it all up to where you have to put theta back into x before watching this video. Now I understand! thanks!
@42marthacu
@42marthacu 13 жыл бұрын
I love you, I seriously watch all your videos
@KooKL4
@KooKL4 9 жыл бұрын
You sir are a king.
@WesMan282
@WesMan282 11 жыл бұрын
Thank you! for some reason I could not wrap my head around this. but you cleared it up!
@SRSM09best
@SRSM09best 13 жыл бұрын
You are a lifesaver. Keep up the good work.
@jamesadeniyi1144
@jamesadeniyi1144 7 жыл бұрын
Thanks for this video it really help me a lot.
@indrit66
@indrit66 7 жыл бұрын
How do mathematicans even come up with this.. i have a hard time learning the solution someone found a way to do this from zero. GENIUS!
@py1867
@py1867 5 жыл бұрын
Thank you so much!! I can't tell how grateful I am 😭😭
@barbarax30
@barbarax30 12 жыл бұрын
thank you sooooooo much!!!! i had nooo idea how to figure out where the units go on the triangle... my professor always did it as one of the first steps and i was like huh? but doing it later in the problem like you did is sooo much easier to understand! thanks bunches
@LuisKing150
@LuisKing150 10 жыл бұрын
patrickJMT PATRICKKKK once again saving me !! ilyyyy brooooooooooooo
@the_dragons_rage
@the_dragons_rage 11 жыл бұрын
started learning this topic this week, goes on this channel to watch a ton of examples and understand, you are the cod(call of duty) god of calc!
@FarrisTX
@FarrisTX 12 жыл бұрын
What I meant is, the steps just going through the problem is a lot. Thanks for your tutorial. YOU ARE A GENIUS.
@blownn420
@blownn420 4 жыл бұрын
Final time. Needed a refresher on these, thanks Patrick! Gonna pass with an A unless I get like a 55% on the final thanks to you ☺️
@Gixxiemoto
@Gixxiemoto 12 жыл бұрын
i never understood the right triangle part until your video,thank you!
@ahmedbaqi540
@ahmedbaqi540 7 жыл бұрын
everything is easy with you bro thank you !
@miguelaretxa
@miguelaretxa 10 жыл бұрын
Really helped me. Thanks a LOT!!!
@patrickjmt
@patrickjmt 13 жыл бұрын
@zloyhimik typically people do not want to see it this way; using the right triangle produces a much more simple equation
@afdelgado1
@afdelgado1 11 жыл бұрын
"we are going to use a trig identity thats going to make everything go away"...... you gave me peace when you said that
@patrickjmt
@patrickjmt 12 жыл бұрын
@sunnysideup no problem, happy to help :)
@MrFrankthetank0000
@MrFrankthetank0000 11 жыл бұрын
Once again Patrick delivers.
@rayg5445
@rayg5445 8 жыл бұрын
i wish you were a professor at my school! I unfortunately have a professor who says "too bad too" sad" if you don't understand the first time around.
@JDGWI
@JDGWI 7 жыл бұрын
Ray G wow
@Icecube88
@Icecube88 7 жыл бұрын
lol
@Tony29103
@Tony29103 5 жыл бұрын
Unfortunately a lot of schools have professors like that. It's sad.
@saadsd7920
@saadsd7920 10 жыл бұрын
thanks sir this absolutely clear to me now
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