Indefinite Integral - Basic Integration Rules, Problems, Formulas, Trig Functions, Calculus

This calculus video tutorial explains how to find the indefinite integral of function. It explains how to apply basic integration rules and formulas to help you integrate functions.
Antiderivatives: • Antiderivatives
Basic Integration Problems:
• Basic Integration Prob...
Indefinite Integral:
• Indefinite Integral
Definite Integral:
• Definite Integral
Differential Equations:
• Finding Particular Sol...
_______________________________
Properties of Definite Integrals:
• Properties of Definite...
Rectilinear Motion Problems:
• Rectilinear Motion Pro...
Sigma Notation - Calculus:
• Summation Formulas and...
Riemann Sums - Area:
• Riemann Sums - Left En...
The Midpoint Rule:
• Midpoint Rule & Rieman...
________________________________
Finding Area - Limit Definition:
• Finding The Area Using...
Definite Integrals - Geometry:
• Evaluating Definite In...
Fundamental Theorem - Part 1:
• Fundamental Theorem of...
Fundamental Theorem - Part 2:
• Fundamental Theorem of...
Net Change Theorem:
• Net Change Theorem - C...
__________________________________
Final Exams and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
/ collections

Пікірлер: 1 700

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor Жыл бұрын

    Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections

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    @yzoononononn

    Жыл бұрын

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    Жыл бұрын

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    Жыл бұрын

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  • @verifiedgm1630

    @verifiedgm1630

    Жыл бұрын

    dude but -3cosine^-1 (x) + c is also an answer right ??

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    @najamsaqib682

    5 ай бұрын

    @@verifiedgm1630 haahahahaha oops

  • @mrjordan7304
    @mrjordan73045 жыл бұрын

    The hardest thing in my entire life..............Is remembering to add the C constant at the end.

  • @nutmeggaming11261

    @nutmeggaming11261

    4 жыл бұрын

    Mine is writing the “dx” when talking about integrals. I had to erase a large amount of work on a whiteboard because of this.

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    @downjesse

    4 жыл бұрын

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    4 жыл бұрын

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    4 жыл бұрын

    Hahaha right that is the main mistake from every one

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    4 жыл бұрын

    yarp

  • @uzairahmednasir
    @uzairahmednasir2 жыл бұрын

    (0:00 - 1:14) Constants integration (1:14 - 2:54) Constant to a power Integration (2:54 - 3:56) Polynomial Integration (3:57 - 7:57) Square Root and Radical Functions (7:58 - 10:30) Integration of Rational Functions and Fractions (10:31 - 11:44) Natural Logarithms (11:45 - 13:15) Exponential Functions (13:16 - 16:29) Trig Functions (16:30 - 28:59) Integration Techniques - U-Substitution, Integration By Parts, and Trigonometric Substitution

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    2 жыл бұрын

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    2 жыл бұрын

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    2 жыл бұрын

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  • @alexendernzayituriki7217

    @alexendernzayituriki7217

    2 жыл бұрын

    @@hasnainraza8739 I suggest You this video If you are interested in Integrals kzread.info/dash/bejne/i6tl2ct-g9eriNY.html&ab_channel=BiPhysiMath-Special

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    @kanishkaralasi74083 жыл бұрын

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    3 жыл бұрын

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    3 жыл бұрын

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    3 жыл бұрын

    Currently taking calculus online from a normally not online school, can confirm this has been loads more helpful

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    4 жыл бұрын

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    4 жыл бұрын

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    Жыл бұрын

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    Жыл бұрын

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    Жыл бұрын

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    Жыл бұрын

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    Жыл бұрын

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    @lonlone38814 жыл бұрын

    Anyone who didn't study for the whole semester and come to watch "What is Integral"?

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    4 жыл бұрын

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    @ma-cg1il

    4 жыл бұрын

    @@NKhoyKrStoutt not good on statics. My calc prof still hasn't uploaded the marks though, but it's the finals I am worried about, thanks to the covic19 epidemic

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    @trippieblue92073 жыл бұрын

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    3 жыл бұрын

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    3 жыл бұрын

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    3 жыл бұрын

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    3 жыл бұрын

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    2 жыл бұрын

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    @isabellatino69744 ай бұрын

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    3 ай бұрын

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    Ай бұрын

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  • @Salamanca-joro

    @Salamanca-joro

    Ай бұрын

    Calculus never dies

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    @iam_luckyt4007

    29 күн бұрын

    😢

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    @mercyumude6813

    26 күн бұрын

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    @jaekl33376 жыл бұрын

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    @JoaoVictor-rg9ck

    6 жыл бұрын

    True that! I've got a calculus exam coming up in a few days and this channel is my go-to place for reviewing stuff.

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    @arunakumari7462

    3 жыл бұрын

    Exactly 👏

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    @apacahah7295

    3 жыл бұрын

    Im 17 i like this so i come here on my free time never learned this before but i can solve basically any type of question that is in this video

  • @alexendernzayituriki7217

    @alexendernzayituriki7217

    2 жыл бұрын

    I suggest You this video If you are interested in Integrals kzread.info/dash/bejne/i6tl2ct-g9eriNY.html&ab_channel=BiPhysiMath-Special

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    2 жыл бұрын

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    @anapunidato62965 жыл бұрын

    These 28 minutes were so much more helpful in comparison to the 4 months I spent in my CALC I class!! Thank you so much!!!

  • @alexendernzayituriki7217

    @alexendernzayituriki7217

    2 жыл бұрын

    I suggest You this video If you are interested in Integrals kzread.info/dash/bejne/i6tl2ct-g9eriNY.html&ab_channel=BiPhysiMath-Special

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    @evanchong6482

    Жыл бұрын

    u probably just didn't pay attention then lol

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    @akshatmisra767

    11 ай бұрын

    @@evanchong6482 nah some teachers are like that bro but yes what you said too

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    @Do-Some-Change

    2 ай бұрын

    Agreed

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    @Do-Some-Change

    2 ай бұрын

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    @shivabhakthar93422 жыл бұрын

    This man has mastered so much that he teaches pre-university Physics, Chemistry and Mathematics. A legend. I want to know his life story

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    8 ай бұрын

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    @happycakes19465 жыл бұрын

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    @lincxln7721

    3 жыл бұрын

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    @Rogue1337.3 жыл бұрын

    10 minutes of this video were worthy around 4 months of lessons. This guy is a legend.

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    @nutmeggaming112614 жыл бұрын

    Just to add onto all the amazing compliments that you have here: Me and one of my friends, who are at the top of our class in STEM classes have learned soo much form the easy to understand ways you, Khan Academy, and Three Blue One Brown put this stuff. We have an good understanding of calc and high algebra/trig in late middle school (8th grade). We could never thank you or any other youtube math tutors enough!

  • @alexendernzayituriki7217

    @alexendernzayituriki7217

    2 жыл бұрын

    I suggest You this video If you are interested in Integrals kzread.info/dash/bejne/i6tl2ct-g9eriNY.html&ab_channel=BiPhysiMath-Special

  • @brandonhuebler4990

    @brandonhuebler4990

    Жыл бұрын

    bro im a junior in calc learning this stuff, you are way ahead of your time

  • @refinedmonkey

    @refinedmonkey

    Жыл бұрын

    Honestly the same, I’ve been picking up higher and higher topics in math since seventh grade. I’ve always been fascinated with math. In one of my school programs (IXL) has a diagnostic test that can show your growth in math represented as levels. If now has become a hobby for me to easily max the levels out (and I have on other programs too). Since it has been maxed, I’ve been looking to this channel to improve and further accelerate my growth. Considering this comment was 2 years ago, you have probably grown a lot more and I wish you good luck!

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    @toasteduranium

    Жыл бұрын

    Where are you now? How advanced are you?

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    @nawrozgulan5917 Жыл бұрын

    Maybe you will never see that comment sir but i just wanna say thank you so much you saved me for almost all of my exams and quizes iam so grateful that you are here and making time to teach stranger for free.For a student like me that never get to understand the concept fully in school you helped me alot and you always make it easy You are a real hero :))

  • @Bobstew68
    @Bobstew683 жыл бұрын

    I really love how fast-paced this is, and still so easy to follow. Perfect! Several examples for each rule and snappy walkthroughs for each example is exactly what I needed.

  • @alexendernzayituriki7217

    @alexendernzayituriki7217

    2 жыл бұрын

    I suggest You this video If you are interested in Integrals kzread.info/dash/bejne/i6tl2ct-g9eriNY.html&ab_channel=BiPhysiMath-Special

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    @Cambodian_queen7 жыл бұрын

    You are literally a lifesaver to the fullest! You seriously should be at like 1 million plus subscribers! Thank you :)

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    @wiltonlawrence882

    7 жыл бұрын

    i agree

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    @laikalugtu1436

    6 жыл бұрын

    Sannarouth Yok lol

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    @motolanilogan9793

    5 жыл бұрын

    you have to understand that not alot of people reach this level of math hence not impossible but would be a slow climb there.... but damn thats sad actually

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    4 жыл бұрын

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    4 жыл бұрын

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    @proddumnyabhaskar Жыл бұрын

    I love how the channel is meant for chem reference, but still provides basic mathematical instruction. Thank you for not assuming by default that we know everything. You have earned a subscriber

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    @asadashoori55532 жыл бұрын

    how much I learned from this 29 minutes was more than all of the time I spend on classes. I'll be always thankful for this useful video.

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    @chandranichaki9580

    2 жыл бұрын

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  • @user-ee4do9ng2b
    @user-ee4do9ng2b9 ай бұрын

    this is actually the best video i have ever come across. absolutely spectacular. nearly cried looking at what my physics teacher tried to post to summarize integrals, and it was just words upon words. but this????????? helped so much. had no clue what an integral was before clicking on this, but just being able to wiz through questions in a matter of seconds instead of reading 38 slides... mind blowing experience. you're truly the best person ever.

  • @sugarkiss1000
    @sugarkiss10004 жыл бұрын

    The semester just started and I’ve spent weeks in my calc class and didn’t understand this. I’m not the best at math, that is why I study science but I have to take up to calculus 3 for my biochem degree 🙄. You literally saved me

  • @profimi770
    @profimi7702 жыл бұрын

    Thanks for being nice and asking the people to pause and solve by themselves. As years passed , i learned math well through solving the questions myself. Hopefully this is the case with most of the students . And thanks for the amazing guide.

  • @jennijaye1554
    @jennijaye15547 жыл бұрын

    THANK YOU!!!! THANK YOU!!!!!! THANK YOU!!!!!!!!! :) My calculus teacher cant even come close to this.

  • @TheOrganicChemistryTutor

    @TheOrganicChemistryTutor

    7 жыл бұрын

    You're welcome

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    @bonjoe0993

    6 жыл бұрын

    I know what you feel!

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    @skifast_takechances

    5 жыл бұрын

    Loll which school do you go to my calc teacher and many others went to elite schools and are top notch (mine went to Stanford)

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    @jonlvender3261

    4 жыл бұрын

    The Organic Chemistry Tutor Wait, how the hell are you not verified?

  • @classicmathematics7801

    @classicmathematics7801

    4 жыл бұрын

    Easy Solution of Integration kzread.info/dash/bejne/gWqNksR9g5fOfMo.html

  • @cameronburke8002
    @cameronburke80024 жыл бұрын

    Here's a tip I made up for integrating and differentiating Sinx and Cosx. Draw a clock and put cosx at 12, sinx at 3, -cosx at 6 and -sinx at 9. The clockwise direction is all the integrals and the counter clockwise direction is all the differentials. It's a lifesaver.

  • @yerontulu9269

    @yerontulu9269

    2 жыл бұрын

    thank u, that helps

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    @neveahisui1936 Жыл бұрын

    This is the best video I have ever watched, I haven't understood my teacher the whole semester and I understood it in 30mins !! Thank you so much

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    @nicolasbolas22472 жыл бұрын

    This guy is singlehandedly saving my calculus grade. Thank you man. You have no idea how much your videos help!

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    @cd27734 жыл бұрын

    I appreciate you so much. Thank you for spending your time helping millions of people without charge. You’re a good person. Using your gifts to help others. God bless you Organic Chemistry Tutor. God bless

  • @rarescrisan3499
    @rarescrisan34994 жыл бұрын

    1 year in 30 min ! Simply Amazing ! Thank you a lot !

  • @tannerbarcelos6880
    @tannerbarcelos68805 жыл бұрын

    was lost on how to do this till this video. the fact he even reviews the Algebra is amazing. This video cleared up all indefinite integration issues i was having. should ace this portion of my final next Tuesday!

  • @imjustagurl318
    @imjustagurl3182 ай бұрын

    *You’re the best teacher ever* *nobody can teach me math* *except for you*

  • @invertpb08
    @invertpb084 жыл бұрын

    the way you teach is very objective and compliments my way of learning. Just drilling problems. I learn by doing so being able to just work problems and unpause the video to see if I was right is perfect. Thank you for taking the time to make these videos, you are a lifesaver.

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    @lemar-LEMAR Жыл бұрын

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    @kaili1094 Жыл бұрын

    I was so confused about integration by parts, but not anymore!!!! Thank you so much!! I appreciate your clear explanation.

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    @91hamod4 жыл бұрын

    I wish I had found this earlier! This is just straight into the subject without any long intros what so ever thank you so much for putting this up

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    @allfathe-r10793 жыл бұрын

    I have exams in 4 hours. And I'm catching up. Through this professional man. Hats off man. You deserve respects

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    @Allaboutmacpc4 жыл бұрын

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    @ronnaraneta1812

    9 ай бұрын

    how's your engineering journey going?

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    @williamlannon53275 жыл бұрын

    Thanks! I needed to brush up on integrals for work and you helped me more than any of my old textbooks!

  • @abanoubsaeed1813
    @abanoubsaeed18135 жыл бұрын

    I am an Egyptian secondary student ,and I wasn't know any thing about integration until i watched your video thanks a lot . شكرا جدا جدا

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    4 жыл бұрын

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    kzread.info/dash/bejne/q5OM2bOkk8vdoqg.html

  • @joshdsilva3234
    @joshdsilva32343 жыл бұрын

    Really helpful. Your half an hour vid = eight 2 hours classes. Keep up the good work!

  • @mpclol6019
    @mpclol6019 Жыл бұрын

    This man deserve all our tuition, he's the one teaching us right not the profs

  • @ANAPAH555
    @ANAPAH5553 жыл бұрын

    Have exam tomorrow bunk all math online class for the past one month and i am here right now trying to learn everything in 30 minutes. wish me luck

  • @ANAPAH555

    @ANAPAH555

    3 жыл бұрын

    @Rayan Sharara well as expected. learning 1 months of math in 30 minutes just won't work isn't it haha

  • @bubblehek4937
    @bubblehek49373 жыл бұрын

    YOU SAVED ME LAST SEMESTER WITH DIFFERENTIAL CALCULUS AND NOW YOU'RE GONNA SAVE ME AGAIN

  • @jocelyn3011
    @jocelyn30114 жыл бұрын

    Dude this helped me out so much on my upcoming exam for calc 2 in college. Seems so much simpler, thank you

  • @alexendernzayituriki7217

    @alexendernzayituriki7217

    2 жыл бұрын

    I suggest You this video If you are interested in Integrals kzread.info/dash/bejne/i6tl2ct-g9eriNY.html&ab_channel=BiPhysiMath-Special

  • @useronioncrisis
    @useronioncrisis Жыл бұрын

    Thank you! You just helped me learn a 3-week worth of lessons in just 30 minutes. Kudos.

  • @WackyKillerBee
    @WackyKillerBee3 жыл бұрын

    Nothing but respect for people who do these videos. Thanks man i hope i pass engineering math

  • @mosshead_vinsmoke
    @mosshead_vinsmoke8 ай бұрын

    ive gone through lots of his videos and what really separates him form other teachers is that he explains every part (down to the last minute detail),like really basic stuffs too which i think is actually the most important part since everybody isnt on the same lvl . be it phy,math,chem, etc most online leanrning platforms just do things directly and get to the main point , its this little extra explaination on specific parts that really builds the foundation on understanding the topic(s)

  • @ochuloadaeze6403
    @ochuloadaeze6403 Жыл бұрын

    I am not a science student, switched from arts to do pharmacy tech, your tutorials in chemistry especially has helped me a lot. I wished I knew about you earlier in my first semester, I am preparing for my second semester exam with all your tutorials. Thank you so much for making the difficult clearer and more understandable.

  • @spencerlevy345

    @spencerlevy345

    10 ай бұрын

    Just curious as someone switching from Philosophy to Computer Science, how have you found the switch?

  • @Fastjur
    @Fastjur4 жыл бұрын

    This is an incredibly helpful tool to recap the basic integration part of calculus, thank you!

  • @Fatimah-vd6cq
    @Fatimah-vd6cq Жыл бұрын

    Thank you so much! I learned from these 29 minutes more than all of the time I spend in classes

  • @Lavanaya
    @Lavanaya3 жыл бұрын

    I can't explain how much I needed this class it is damn good ! This video clear all my doubts so thank you😊

  • @Azm1th
    @Azm1th6 жыл бұрын

    You are so good at explaining stuff man!!

  • @reelovesaesthetics6888
    @reelovesaesthetics68882 жыл бұрын

    I cannot EXPRESS how much this has saved my life. Thank you so much for this !!!

  • @aashishk4252
    @aashishk425210 ай бұрын

    this is by far a quickest way to refresh the concept. hats off to the creator.

  • @johncedricksantos4419
    @johncedricksantos44195 жыл бұрын

    Thank you so much!! I am a first engineering student and not getting stem in kto12 makes it hard for me to understand calculus but because of you it is much more easier now thank you!!

  • @Thorge007
    @Thorge0074 жыл бұрын

    You have saved me on tons of tests. Thanks so much for making these videos.

  • @okikioluwakitansokoya8010
    @okikioluwakitansokoya80103 жыл бұрын

    Where would we be without you? You deserve a Nobel peace prize fr

  • @henrybusse7513
    @henrybusse75132 жыл бұрын

    These videos are my savior for learning concepts for the WYSE, I owe you a LOT.

  • @georgesadler7830
    @georgesadler7830 Жыл бұрын

    Mr. Organic Chemistry Tutor, thank you for an excellent video/lecture on The Indefinite Integral in Calculus One and Two. The overall examples/problems are off the learning charts, however absolute values are needed when you integrate 1/x,1/(x-3) etc.

  • @kamilmohamet3152
    @kamilmohamet31523 жыл бұрын

    I never watched your videos before today , and the most amazing thing is that u solve problems like i do , write every step and calculate , i would become a math professor if u were my teacher .

  • @godfraydionzon9539
    @godfraydionzon95393 жыл бұрын

    Man i swear to God you are a blessing for us engineering students. Since this pandemic started and we had school i always had a hard time understanding calculus and u just saved me from it. Differential and Integral calculus also with Chemistry for engineers. Thank you so much man

  • @rubensf7780
    @rubensf77803 ай бұрын

    I have taken ZERO calculus classes and yet, thanks to 3blue1brown, blackpenredpen and mostly you I can do this stuff. Thanks so much man

  • @ngsoniaazyu
    @ngsoniaazyu6 жыл бұрын

    you just turn a hard rock into a piece of cake now I can eat peacefully love you

  • @glassunicorn1525

    @glassunicorn1525

    6 жыл бұрын

    sonia azyu ruddy that was a wonderful metaphor

  • @kisaragiayami

    @kisaragiayami

    5 жыл бұрын

    glass unicorn that was a wonderful joke

  • @rexbarr_5783

    @rexbarr_5783

    4 жыл бұрын

    You can eat my hard rock piece of cake

  • @darkstar3656

    @darkstar3656

    4 жыл бұрын

    how about my hard rock piece of meat?

  • @Rishabhplays69

    @Rishabhplays69

    4 жыл бұрын

    I misspelled rock🤣to male hen

  • @adielabrahams0312
    @adielabrahams03122 жыл бұрын

    This man is definitely going to heaven 🙏

  • @aybeepyae
    @aybeepyae9 ай бұрын

    Thank you so much for making such quality Math videos. You've been saving every Math exam since Grade 9. Thanks a lot !

  • @mrguesty
    @mrguesty3 жыл бұрын

    I'm literally watching this 10 mins before our scholarship exams LMAO . As I am a non-STEM student , I don't know shit about calculus . This really helped a lot thanks .

  • @samyogadhikari2748

    @samyogadhikari2748

    3 жыл бұрын

    Hope it went well!

  • @giemar8307
    @giemar8307 Жыл бұрын

    Sir you really help a lot of students with all your videos... These videos will still be very useful in the future... thank you for sharing your knowledge and making Math, Physics, and Chemistry more understandable... More power to you and God Bless You

  • @cometoknow647
    @cometoknow6475 жыл бұрын

    I'm really impressed..... I never comment to anyone ❤❤❤ like this..... Totally 👏✊👍 awesome fabulous your the ☝1⃣

  • @jugalshah7688
    @jugalshah768810 күн бұрын

    you literally just cleared 90% of what i lacked for my Quant Finance degree thank you so much

  • @elias8294
    @elias82945 жыл бұрын

    He makes this way simpler than my instructor. Really appreciate the help

  • @kesterjohnpalarao6861
    @kesterjohnpalarao68614 жыл бұрын

    I passed my first semester in Calculus because of you sir. I can't thank you enough with it and I hope that you'll be again my life saver for this semester. Thank you very muchhhhh.

  • @alexendernzayituriki7217

    @alexendernzayituriki7217

    2 жыл бұрын

    I suggest You this video If you are interested in Integrals kzread.info/dash/bejne/i6tl2ct-g9eriNY.html&ab_channel=BiPhysiMath-Special

  • @erzcav4793
    @erzcav47934 жыл бұрын

    Differential equation class tomorrow and i just review calculus 1 and integral in 2 days with your videos ♥♥♥♥ thanks much man!

  • @gaushiratnam8874
    @gaushiratnam88743 жыл бұрын

    Thank you so much for all the explanations and guidance. May God bless you!

  • @Haneefayusuf
    @Haneefayusuf2 жыл бұрын

    Thank you soo much. You made everything easier, years and years of not understanding integration I finally did thanks to you .

  • @mildredchinongoza3412
    @mildredchinongoza34125 жыл бұрын

    I just found this channel and i am 2 days away from my final exam, hats off to you sir. You make life so easy. I was so lost

  • @emanelgammal4926
    @emanelgammal49265 жыл бұрын

    This is super amazing, i had the sample test next to me and i learnt from your video and applied there and every question in my test was covered in your video! Thank you so mcuh

  • @maan1509
    @maan1509 Жыл бұрын

    can I just say you are the best, I was having a hard time and you just cleared all my doubts in less than 30 minutes

  • @karishmadeshpande1
    @karishmadeshpande15 жыл бұрын

    this was so helpful!!! I’m having to relearn this for the PCAT and you made my life so much easier, thank you🙌🏾

  • @kumarupendra4551

    @kumarupendra4551

    3 жыл бұрын

    kzread.info/dash/bejne/q5OM2bOkk8vdoqg.html

  • @skifast_takechances
    @skifast_takechances5 жыл бұрын

    Damn your fast and accurate at writing these!! This is everything that I needed for a slight review before entering next year's Berkeley math tournament analysis round

  • @dorcasaluko355
    @dorcasaluko3553 жыл бұрын

    The way you explain things so easily. phew!!! you're a blessingggg

  • @anwan5
    @anwan52 жыл бұрын

    This video is not over yet for me but I just wanted to say thank you! You have made me understand so much!! God bless you

  • @jessemcauliffe362
    @jessemcauliffe3625 жыл бұрын

    Great video. Very well done. Simple . And from easy to more difficult was very good.

  • @milanzukuma7243
    @milanzukuma72433 жыл бұрын

    If I graduate, I'll donate my degree to you

  • @egaborjoshuaikechukwu7042

    @egaborjoshuaikechukwu7042

    Ай бұрын

    Have you graduated

  • @technicalthodu7715
    @technicalthodu77152 жыл бұрын

    This made my day!Knew more About integration in 30 minutes than through the classes that I attended in high school for 2 years!

  • @floxyla7542
    @floxyla75423 жыл бұрын

    I got an A on my calculus class last semester which I almost can't believe it...and it's all because of you. Thank you sooo muchh, so glad that I find this channel 😭

  • @davidwong8006
    @davidwong80064 жыл бұрын

    Simply fantastic video my friend. I wish I had watched this before i started calc 2. Cheers

  • @_blueshift_3976
    @_blueshift_39766 жыл бұрын

    I call him - "In this video..."

  • @alicedoro111

    @alicedoro111

    5 жыл бұрын

    Saem

  • @DennisBolanos

    @DennisBolanos

    3 жыл бұрын

    OMG, I laughed my ass off.

  • @jonabilbili13
    @jonabilbili132 жыл бұрын

    A HUGE THANK YOU! Saved me so much time and turned this "calculating integrals"-monster into fun!

  • @onyiboemmanuel6060
    @onyiboemmanuel60603 жыл бұрын

    you have been doing wonderful work for us, thanks man

  • @jaysofficial9511
    @jaysofficial95112 жыл бұрын

    I always watch your videos, and I always amazed in you because you're so good in math.. and I like how u deliver your topics.. very understandable ❣️..