Lots of Basic Antiderivative / Integration / Integral Examples

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  • Опубликовано: 7 апр 2016
  • Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) / patrickjmt !! Lots of Basic Antiderivative / Integration Examples

Комментарии • 171

  • @Hypocricy_rules_supreme
    @Hypocricy_rules_supreme 7 лет назад +187

    You have really made my engineering mathematics enjoyable. Your name is so on my graduation speech in 2018.

  • @rohan10D
    @rohan10D 8 лет назад +94

    did my calculus II final earlier today and I feel great, just wanted to deeply thank you for all your wonderful videos!

    • @patrickjmt
      @patrickjmt  8 лет назад +19

      +rohan10D my pleasure :) i hope it went wonderfully!

    • @ahappyimago
      @ahappyimago 3 года назад

      How’d it go

  • @yanrivers
    @yanrivers 7 лет назад +26

    Patrick, I appreciate that your step-by-step teaching is easily comprehended for anyone studying basic integration. You're skilled, smooth and confident in your presentation while injecting humor along the way. It encourages one to learn/review from your other videos, too! Thank you, and well done!

  • @ericah1828
    @ericah1828 8 лет назад +34

    I am glad to see you are still posting videos. I just wanted to say thanks! I watched a bunch of your videos throughout college and now I'm going to be graduating with my Masters in Industrial Engineering :D You were way more helpful than any math teacher I ever had!

    • @patrickjmt
      @patrickjmt  8 лет назад +11

      +Erica H sounds like you should be a patron on 'Patreon' :)

  • @sthelilesihle5102
    @sthelilesihle5102 Год назад +1

    i love how he actually gives us tips, and mistakes we shouldn't commit😊Thank you so much

  • @zafe_6233
    @zafe_6233 4 года назад +2

    28:48 the number one thing that gave out how you truly are as a teacher...pure awesome!

  • @KHALED-zj6jh
    @KHALED-zj6jh 8 лет назад

    I am glad to see you are still posting videos. I just wanted to say thanks!

  • @brianhack5806
    @brianhack5806 6 лет назад +1

    This poor soul made it to the end. ...Was fun! Thank you! It's been 12 years since taking Calc AB in high school and the first week kicked my butt in college Calc 2. ...Was very rusty with all my maths (though some parts, like the general concepts, stayed. and I did use some math in the last semester as well as with electronics)...
    Was a great feeling when the perception of a problem being hard... crumbled away when you showed parts of it. ...Great thing about RUclips, I was able to pause and work out most of these by myself with some prompting. (I was a bit lazy on some of these and didn't want to think... So I just skipped to when you got to it.)

  • @shubhkadam2388
    @shubhkadam2388 6 лет назад

    Thank you Patrick. The examples are just right to understand the topic to its depth.

  • @flaixtreme6073
    @flaixtreme6073 7 лет назад +157

    didn't realize that SpongeBob"s friend is this smart

    • @patrickjmt
      @patrickjmt  7 лет назад +77

      HAHAHAH you are probably the first person to ever make that joke, you clever guy

    • @shaunaklavande8159
      @shaunaklavande8159 6 лет назад +10

      lmfao cant tell if you are being sarcastic or not.

    • @jimmykicksass123
      @jimmykicksass123 6 лет назад +9

      Thanks

  • @joshuavanheerden4941
    @joshuavanheerden4941 5 лет назад

    Thanks Patrick i appreciate it, you got the ball rolling on this side.

  • @Pattyanyana6064
    @Pattyanyana6064 6 лет назад

    I notice a little enthusiasm when solving functions and it motivated me to continue watching video.

  • @luvomtati1910
    @luvomtati1910 6 лет назад

    You helped me man when it comes to maths starting from differentiation I thank you with that. I am giving you a thumbs up man👍

  • @krabbypatty3644
    @krabbypatty3644 7 лет назад

    seriously, you and the many people who make these types of videos are saving the world one brain at a time. unless they are evil geniuses but thats rare so mostly good.

  • @madhuchhandapradhan8753
    @madhuchhandapradhan8753 4 года назад +1

    Man,just awesome. I seriously needed an explanation of the topic

  • @luoben68
    @luoben68 7 лет назад

    Thank you so much for this fantastic exercise session Partick!

  • @BillyBobby123
    @BillyBobby123 5 лет назад +3

    I passed calc 2 this semester because of you!!!! Thank you so much!!!!

  • @firesongwarrior
    @firesongwarrior 5 лет назад +1

    Thank you so much for explaining this, my teacher couldn't explain in a semester what you explain in a couple videoa

  • @jayshreerozee7209
    @jayshreerozee7209 5 лет назад +1

    I didn't get bored!!! You are great

  • @mustafamalik4211
    @mustafamalik4211 6 лет назад +2

    You actually sound happy in a video :D! Makes me feel happy too

  • @georgeroth3042
    @georgeroth3042 6 лет назад +1

    Thanks for saying that this is not for people looking at integration for the first time so I don't waste my time

  • @gnashr4366
    @gnashr4366 5 месяцев назад

    What an amazing video! Thank you so much!

  • @cameronwilliams9106
    @cameronwilliams9106 7 лет назад +70

    Can't divide by '0', or else the world explodes lolol I'm crying!

  • @adham400
    @adham400 5 лет назад +1

    I legit love you man, take a virtual hug.

  • @sheilaannemaningding5011
    @sheilaannemaningding5011 3 года назад +1

    I like how he put the common mistakes and saying "no!"

  • @naqashliaqat8955
    @naqashliaqat8955 6 лет назад

    Thanks so much helped me prepare for my calculus midterm!!!

  • @rthmjohn
    @rthmjohn 2 года назад

    Fantastic video! Thanks for making this.

  • @Philip9633
    @Philip9633 8 лет назад +1

    Great videos! Thank you for making integration so easy for me to understand! By the way, I think at 7:42 that you meant to say that anything to the power of zero is one rather than anything to the power of one is one.

  • @Mynckey
    @Mynckey 5 месяцев назад

    You really helped me, thank you :)

  • @Burningarrow7
    @Burningarrow7 5 месяцев назад

    Thank you sir for you videos. They help students like me who can't go to an actual college. You are very much appreciated.

  • @keronasr6547
    @keronasr6547 7 месяцев назад

    Patrick.... God bless you.

  • @Josue-kr1jv
    @Josue-kr1jv 7 лет назад

    You're the best Patrick

  • @hephaestus1956
    @hephaestus1956 7 лет назад

    Thank you Patrick.

  • @nothandontombela4953
    @nothandontombela4953 5 лет назад

    This is so helpful , thank you!!

  • @anandisenkasela8362
    @anandisenkasela8362 6 лет назад

    This was so helpful Thank You so much

  • @amypop7711
    @amypop7711 6 лет назад

    thank you Mr.patrick

  • @simategeoffrey.s8923
    @simategeoffrey.s8923 7 лет назад +2

    that was great man!!!

  • @silvia1416xx
    @silvia1416xx Год назад +1

    Thank you so much this was very helpful🌹

  • @livetodie1737
    @livetodie1737 8 лет назад

    watching for test .. :D great you patrick ...

  • @Swisscheez92
    @Swisscheez92 6 лет назад

    amazing channel, thank you.

  • @angry_moose94
    @angry_moose94 6 лет назад

    excellent teacher!

  • @MrThedevilinme
    @MrThedevilinme 7 лет назад

    thank soo much for your videos and help,you do make a huge change

  • @FlyingCowFX
    @FlyingCowFX 8 лет назад

    Great video, helped a lot

  • @NaijaGail
    @NaijaGail 8 лет назад +1

    right in time for my exam

  • @christianarcan2043
    @christianarcan2043 7 лет назад

    thankyou1000000x patrick! You're the best Mathematics tutor... :)

  • @dynamite_dynamite5954
    @dynamite_dynamite5954 6 лет назад +8

    This man is doing God's work

  • @shree-yh3yj
    @shree-yh3yj 2 года назад +2

    Identity trick really helped me !!

  • @nestingrobot
    @nestingrobot 7 лет назад

    pure awesomeness at its best

  • @jejunegamingtv1359
    @jejunegamingtv1359 7 лет назад +29

    The writing sound.. so ASMR-ish..

  • @vio846
    @vio846 5 лет назад +3

    "im too lazy..." well me too! that's why im watching this vid instead of reading my calcbook 😂

  • @the_seahawk22
    @the_seahawk22 4 года назад +1

    The thing about your videos is that you not only explain these theorems in plain English but you also give tips and tricks which help us identify what to do in what situation. Those tips and tricks, personally, are far easier to remember and utilize than just "UnDeRsTaNdInG tHe CoNcEpT". Like yo professor, understanding the concept doesn't always work there pal

  • @christianpruna
    @christianpruna 7 лет назад

    Thanks.I understand now those mistakes.

  • @kaisaalmann57
    @kaisaalmann57 5 лет назад +2

    crap dad i love you. love me plz. I needed to learn these so much!

  • @Kaysar777
    @Kaysar777 8 лет назад +3

    Awesome! Thank you!

  • @timothytor6278
    @timothytor6278 7 лет назад

    i love this vidoes,wish to hav a compile series

  • @farooqwalizada138
    @farooqwalizada138 7 лет назад +2

    what is your website

  • @wbrown9476
    @wbrown9476 5 лет назад

    This helps barely passing College Calc right now

  • @stephlevin6084
    @stephlevin6084 6 лет назад

    YOU'RE A LIFESAVER

  • @zzzztj
    @zzzztj 8 лет назад

    Thank you for these videos, they're very helpful, but I have what I think is a bizarre question... If we are calculating areas under the curve, why aren't all solutions (of single integrals) squared? or cubed for doubles? I used y=(x-x)+c to produce a rectangle where c=4 (x also but that cancels) to get x^2/2 = 2x^2, but plugging in numbers 2x(4)^2 = 32... but it should be squared as it's an area, and are all integrals are areas.. they should all be squared. So I'm a little confused. Thanks in advance :)

  • @waltercarrillo6065
    @waltercarrillo6065 6 лет назад

    nice video, clear explanation.

  • @fellipesebastian2733
    @fellipesebastian2733 7 лет назад

    you make it look easy

  • @rajpraveenpradhan7097
    @rajpraveenpradhan7097 8 лет назад +3

    can you solve this problem for me. I just want to verify my answer.
    A wire of length 2 units is cut into two parts which arecbent respectively to form a square of side x units and circle of radius r units. If sum of the areas of the square and circle so formed is minimum then what is relation between r and x?
    its easy but I'm not getting the answer which a website uploaded.

    • @patrickjmt
      @patrickjmt  8 лет назад +2

      +RAJ PRAVEEN Pradhan you should buy my book. this is one of the questions :)

    • @MrHammod1
      @MrHammod1 8 лет назад

      +patrickJMT excuse me, what is the name of your book?

    • @smhr145
      @smhr145 7 лет назад +2

      Calculus: 1,001 Practice Problems For Dummies (+ Free Online Practice) 1st Edition
      www.amazon.com/gp/product/111849671X?ie=UTF8&camp=1789&creativeASIN=111849671X&linkCode=xm2&tag=jusmattut-20

  • @cupcakes8483
    @cupcakes8483 3 месяца назад

    Its a dynamite explanation though i am a medical student ....we really ought to go through it for physics ....yeh thanks Patrick

  • @vs80802
    @vs80802 7 лет назад

    THANK YOU SO MUCH

  • @Bentami
    @Bentami 5 лет назад

    20:42 I dont understand why you drew two integrals on top of each other? Why is one backwards please help

  • @TiberiusStorm
    @TiberiusStorm 6 лет назад

    What if the denominator has 3 numbers under the square root symbol?!

  • @renzomenos2528
    @renzomenos2528 3 месяца назад

    Sweet pain.. god bless ya mate.

  • @justinhepburn1972
    @justinhepburn1972 5 лет назад

    Thank you so much

  • @syrenyt7450
    @syrenyt7450 Год назад

    thanks sir God bless

  • @sanchi7410
    @sanchi7410 2 года назад

    This was so helpful
    I do need t ok work on my formulas tho

  • @muhammedsalim766
    @muhammedsalim766 3 года назад

    Hey! you're really dedicated ... is the donation still on ?

  • @ab3040
    @ab3040 2 года назад +2

    My professors really took off points for me not saying x^1/2 is sqrt(x)
    🙃

  • @RosetteAckesson
    @RosetteAckesson 6 лет назад

    thank you so much

  • @mateoricucci1285
    @mateoricucci1285 6 лет назад

    Patrick i wasnt aware you had a patreon account. You should put in your description videos so more people like myself are aware. I would love to help

    • @patrickjmt
      @patrickjmt  6 лет назад

      ok, will do.
      i'd love all the support i can get :)

  • @kayceealcantara7591
    @kayceealcantara7591 7 лет назад

    Thanks for all videos. I passed Diff cal :D

  • @nb-secretrecipes3638
    @nb-secretrecipes3638 4 года назад

    you have a excellent math skills

  • @whojackson
    @whojackson 4 года назад

    why do we put the dx on the end?

  • @prashantsaini2290
    @prashantsaini2290 7 лет назад

    what would be the : integration((1+sin x)^1/2)dx= ? ans pls

  • @aadi2753
    @aadi2753 7 лет назад

    do you have a video on strategies you use to derive any trig identity, or a video on to know which identity to use?

    • @patrickjmt
      @patrickjmt  7 лет назад +1

      yep, i have a video on how to remember and derive identities

  • @doyar1
    @doyar1 6 лет назад

    I think last problem should be - 2
    Can u recheck, because pay attention of circle u heve made, from zero up to 1/4 radian, not 1/2 radian.. Thank u

  • @amirzeb2606
    @amirzeb2606 7 лет назад

    very easy method sir

  • @aristoball
    @aristoball 8 лет назад

    why u looked so hyper in this video haha! but really really thanks, i can't live without u

    • @patrickjmt
      @patrickjmt  8 лет назад +1

      +yip ball i made it for my students this semester. i was hyped.

  • @crowc7904
    @crowc7904 6 лет назад

    thanks!!

  • @antoniokasljevic
    @antoniokasljevic 8 лет назад

    I bought your 30 examples with walkthrough but i have problem with examples that use the american trigs (sec etc..) Any advice?

    • @antoniokasljevic
      @antoniokasljevic 8 лет назад

      +Antonio Id just like to add that youve saved my life for 2 years in college now

    • @antoniokasljevic
      @antoniokasljevic 8 лет назад

      +Antonio and a big thank you for that ^_^

  • @GueVonez
    @GueVonez 8 лет назад

    So ive always wondered why integration gives area under curve, the riemann sum doesn't seem like the correct proof to me... Would you mind making a video on proof as to why integration is area under curve?

    • @The112Windows
      @The112Windows 8 лет назад

      +Broseff G I think he explains it in his intergration video.

  • @ramobeats8622
    @ramobeats8622 4 года назад

    God bless you

  • @dylanmitchell4331
    @dylanmitchell4331 6 лет назад

    Genius

  • @Sg190th
    @Sg190th 6 лет назад

    derivatives the most fun in calc

  • @sergektv4025
    @sergektv4025 8 лет назад +46

    i cant believe i watched this entire video just for fun...i love math

    • @sergektv4025
      @sergektv4025 8 лет назад +2

      lol yeah. i took bachelors of computer science, minor in mathematics at university...ive always enjoyed doing those math problems

    • @shrutiv1471
      @shrutiv1471 6 лет назад +18

      Weirdo

    • @zawette
      @zawette 6 лет назад +2

      they're fun until you get into superior mathematics

    • @burtreynolds9532
      @burtreynolds9532 6 лет назад +4

      I fucking hate you

    • @TiberiusStorm
      @TiberiusStorm 6 лет назад

      I'm terrible at math and I watched this entire video for fun!

  • @Hoodeeman
    @Hoodeeman 5 лет назад

    where is sin from pi to 3pi/2

  • @allenkristofagala8646
    @allenkristofagala8646 6 лет назад

    Wow!!! I found another left handed person....hi there mate

  • @Adrian-mu2hv
    @Adrian-mu2hv 6 лет назад

    5. Can't we use sin2x/cos2x? Instead of 1-sec2.

  • @judekirkcruz7177
    @judekirkcruz7177 6 месяцев назад +1

    I can relate to @17:33 . HAHAHA

  • @kayceealcantara7591
    @kayceealcantara7591 7 лет назад

    2x^-2 is equal to 2/x^2 or 1/2x^2? In ur example no.8 corrrct me if i am wrng

    • @patrickjmt
      @patrickjmt  7 лет назад

      2/x^2

    • @patrickjmt
      @patrickjmt  7 лет назад +1

      your computer seems to be missing o's and e's as well

  • @CarlosRuiz-kj2wq
    @CarlosRuiz-kj2wq 6 лет назад

    Upvoted just for the 'yeehaw'

    • @patrickjmt
      @patrickjmt  6 лет назад

      you can take the boy out of the country, but you can't take the country out of the boy

  • @andrewcullum7097
    @andrewcullum7097 5 лет назад +1

    How do people understand this!? Might as well talk to me in Mongolian!

  • @ithinkthereforiam
    @ithinkthereforiam 4 года назад +1

    (insert "you teach better than my teacher" comment here)

  • @rogiebangquiao7360
    @rogiebangquiao7360 5 лет назад +1

    That number 4 should be pi x + c not pi^(2)x + c.

  • @melon4611
    @melon4611 Год назад

    Don’t be cocky on q4 when it can say d(pi)

  • @user-bu8mg7uq3s
    @user-bu8mg7uq3s 3 года назад +1

    Love