EASY CALCULUS Introduction - Anyone with BASIC Math skills can understand….

TabletClass Math:
tcmathacademy.com/
Introduction to Calculus, easy to understand for those that want to know what Calculus is. For more math help to include math lessons, practice problems and math tutorials check out my full math help program at tcmathacademy.com/
Math Notes:
Pre-Algebra Notes: tabletclass-math.creator-spri...
Algebra Notes: tabletclass-math.creator-spri...
Geometry Notes: tabletclass-math.creator-spri...
Algebra 2 / Trig Notes: tabletclass-math.creator-spri...

Пікірлер: 275

  • @gabesilva5932
    @gabesilva593210 ай бұрын

    I was always bad in school. Was terrible at math. Barely got my diploma. In my mid 20s now and I study physics just for fun. Been having learning walls and knew I had to start here. I honestly cried at the end of this video. I could see the math visually and Understood it’s application so well. Never thought I’d see math in this way. Thank you so much. All the time I wasted in school. Feels terrible.

  • @josem-wx7uz

    @josem-wx7uz

    6 ай бұрын

    any advice ? im bad at math and the highest math for me is geometry in my sophomore year and im graduating highschool early. and im doing cal 1 and cal 2 in college next month

  • @plozar

    @plozar

    3 ай бұрын

    @@josem-wx7uz your Math skills are undeveloped for Calc.

  • @josem-wx7uz

    @josem-wx7uz

    3 ай бұрын

    @@plozar Yeah i started taking college algebra and i take trig next

  • @clmkc5393

    @clmkc5393

    9 күн бұрын

    YOUR PAST NEVER EQUALS YOUR FUTURE.....GOOD OR BAD. Keep breaking down the walls.

  • @edshelden7590
    @edshelden75902 жыл бұрын

    This was a very good explanation for 72 year old guy who flunked calculus in college once. You mentioned note taking. Note taking is incredibly difficult. If the student had a piece of paper in front of them showing the drawings and the formulas you presented it might be easier.

  • @RLaraMoore

    @RLaraMoore

    Жыл бұрын

    🙏

  • @PraveenSriram

    @PraveenSriram

    Жыл бұрын

    Note taking takes a lot of self discipline and skill

  • @glens51

    @glens51

    10 ай бұрын

    I'm 72, and i flunked College calculus 'cause i ran a Surf shop at the same time and found surfing more fun than math...

  • @goodoldrodg9043

    @goodoldrodg9043

    8 ай бұрын

    Southern Cal??

  • @daudmik

    @daudmik

    5 ай бұрын

    I’m 76 and found this explanation great, except what C was

  • @golden.lights.twinkle2329
    @golden.lights.twinkle2329 Жыл бұрын

    At school I had terrible math teachers that put me off the subject for life. This did not stop me becoming a computer programmer for over 40 years. In all that time I never needed calculus, and only used algebraic equations a few times. Neverthless, your videos are good and will be useful for people that have to learn this subject.

  • @staryxmoonlit

    @staryxmoonlit

    Жыл бұрын

    Could you tell me what GCSE’s you did for this (if you live in the uk) and a levels for computer programmer cause I will not be doing calculus no way

  • @davidchang5862

    @davidchang5862

    5 ай бұрын

    You don’t really need calculus to become a software developer but you do need good logic plus the ability to copy and paste. Not forgetting AI code generators 🤔

  • @adtoes
    @adtoes Жыл бұрын

    Teaching starts at 5:48

  • @gooboo8947

    @gooboo8947

    2 ай бұрын

    whoever's skipping, i recommend watching it entirely

  • @rayarizwan5980

    @rayarizwan5980

    2 ай бұрын

    Quite helpful 😢

  • @GF-vw6sz
    @GF-vw6sz2 жыл бұрын

    Thank you for the video. Please do not stop and continue to create more in depth Calculus videos, and yes Calculus is a very fascinating subject or may be language. Love it.

  • @silentintegrals9104

    @silentintegrals9104

    2 жыл бұрын

    totally agree

  • @Truth845

    @Truth845

    9 ай бұрын

    Mathematics is a language😊

  • @salmannadeem2827

    @salmannadeem2827

    2 ай бұрын

    Fr

  • @l.janescroggins2555
    @l.janescroggins25552 жыл бұрын

    Thanks. I had no idea what I was trying to learn in Calculus and switched majors. I’m 75 , started tryin to refresh my algebra & found it’s kinda fun. BTW my major was in graphic design

  • @berthonpowell7366

    @berthonpowell7366

    Жыл бұрын

    It is said that working math problems may keep our brains in great condition in senior years.😊

  • @paradoxplayzgaming
    @paradoxplayzgaming Жыл бұрын

    Great tutorial really sooths some of the initial intimidation of complex math. considering that I am a 14-year-old boy who can't even focus on basic pre-algebra it is miraculous that this video actually made vauge sense to me and kept my attention for 20 minutes. this is one of the best math videos i have ever seen

  • @berthonpowell7366

    @berthonpowell7366

    Жыл бұрын

    A very brilliant math student once told me that if you want to learn something..teach it...😅

  • @StudywithmeinPakistan
    @StudywithmeinPakistan10 күн бұрын

    Wonderful explaination. KZread is getting me the most needed videos in recommendation.

  • @TheRealHedgehogSonic
    @TheRealHedgehogSonic Жыл бұрын

    The first calculus class I took was one I dropped, because the professor hated tech so much, while a lot of my learning methods are tech heavy. This video did NOT disappoint in reinvigorating me to push my math skills to the max and be the game designer I've always dreamed of being.

  • @jessicanelson1486
    @jessicanelson14869 ай бұрын

    I loved algebra in school and peaked there in math, because without understanding pre-calc it wasn't fun or easy anymore. I know I'm smart enough for it, but I wanted to learn other things. I graduated with an arts degree 10 years ago, and have been doing some deep soul-searching about going back to school to embark on a new career. This has led me to consider civil engineering as something I've always been passionate about, but the math terrifies me! I enrolled in some coursera classes to see how challenging it would be and gauge my learning deficit, but this video has made me feel SO much better about pursuing this! Thank you!

  • @adamd9166
    @adamd9166 Жыл бұрын

    Excellent introduction to a seemingly-daunting topic. Thank you so much! I definitely feel more comfortable about calculus.

  • @rodent-creature
    @rodent-creature11 ай бұрын

    Thanks I am horrible at math and I was looking into majoring in meteorology later on and becoming a storm chaser, and apparently it involves calculus and physics I'm starting to really learn this a little earlier (I'm starting high school in two months) because I've heard the earlier you pick up the skills needed for meteorology, the better

  • @dougdavis2709
    @dougdavis2709 Жыл бұрын

    YES! This is one of the best match courses/classes ever, thank you!!

  • @royforgy3219
    @royforgy32195 ай бұрын

    Very good. Most people that teach calculus don’t explain what you are really doing well enough.

  • @MathematicianAlgebra
    @MathematicianAlgebra3 ай бұрын

    This will help me learn a lot more in school and get me to be an aeronautica engineer. Thank you so much, TabletClass Math.

  • @davestillhere4169
    @davestillhere4169 Жыл бұрын

    Wow, you did a great job. I'm really impressed by the clarity.

  • @fisherfresh6708
    @fisherfresh67082 жыл бұрын

    5:45 it really starts around here

  • @nikkitytom

    @nikkitytom

    2 жыл бұрын

    Thank you! I'm beyond exasperated with the ridiculous blather! Maybe I'll hang on a bit.

  • @easymentality

    @easymentality

    Жыл бұрын

    Thank you!!! I understand why the intro was there, but that intro wasn't for me.

  • @clmkc5393
    @clmkc53939 күн бұрын

    Good information! I love the detail - you explain the detail and assume we need explanations which is true for me.

  • @markmcleod6376
    @markmcleod6376 Жыл бұрын

    Thanks!! Excellent explanation!

  • @nayhtetsharr4563
    @nayhtetsharr45632 жыл бұрын

    Amazing introduction to Calculus. Thanks, man.

  • @TheCard1nal
    @TheCard1nal14 күн бұрын

    This was really helpful. Thanks Prof.

  • @richardbessah421
    @richardbessah421 Жыл бұрын

    This is fantastic, I really love it.

  • @johnfaykus4699
    @johnfaykus4699 Жыл бұрын

    Thank you for the introduction to Easy Calculus!

  • @davidwoods8982
    @davidwoods8982 Жыл бұрын

    Thank you. Great job!

  • @juannieto1987
    @juannieto1987 Жыл бұрын

    Thank you for making these videos it really helps dimestifyimg the subject.

  • @patrickdervan3444
    @patrickdervan34445 ай бұрын

    Thanks for the great videos. I’ve recently been self studying calculus. The books I’ve read explain how to solve calculus problems, but never showed how it applies to a graph with real numbers, step by step. Your videos have helped me conceptually understand what I’m doing when solving problems

  • @robertarguello1115
    @robertarguello1115 Жыл бұрын

    Thank you. ... Now, I am going to have to sit down and take some really clear notes so that I can fully understand the quirky steps needed to solve these kinds of problems. 👍

  • @garykidwell2496
    @garykidwell24963 ай бұрын

    I struggled through many calc classes in college. Imagine if I had KZread to help, what a difference that would have made!

  • @manassehblankson8900
    @manassehblankson89003 ай бұрын

    Thank you very much 🎉

  • @DefaultName-ex1sz
    @DefaultName-ex1sz Жыл бұрын

    It is wonderful, enriches understanding

  • @shiyo2067
    @shiyo20672 ай бұрын

    Thank you so much! Very well explanation for a beginner.

  • @palmbeach4825
    @palmbeach48252 ай бұрын

    A big thank you 😊. Thank you very much.

  • @faridajamal5824
    @faridajamal58247 ай бұрын

    nice job very well explained Thank You So Much

  • @v-gc7257
    @v-gc72572 жыл бұрын

    Helpful Math videos. Nice to have an easy tutorial

  • @MerciaKahambea
    @MerciaKahambea11 күн бұрын

    well explained thank you...

  • @josephsfields
    @josephsfields7 ай бұрын

    I appreciate that you took the time to create this video. I wish you had a versions of your explanation that stayed succinctly and absolutely on track with solving the problem in as few words as possible, leaving out all the extra verbosity 8:25 Maybe I'm not your target audience but I'd appreciate the availability of the speed course as a refresher. I took calculus in college back in '85 .

  • @robertwoolley8632
    @robertwoolley86325 ай бұрын

    That was an interesting re-introduction to calculus. I haven't used it since my engineering college days over 50 years ago and I dislike forgetting something I liked using in the past. So now onto the next stage and to work though some more examples.

  • @ranjithamarakoon8842
    @ranjithamarakoon8842 Жыл бұрын

    Very helpful to me Thanks.

  • @wrjazziel
    @wrjazziel2 жыл бұрын

    Thank you very much!

  • @kr7584
    @kr7584 Жыл бұрын

    Thanks for the video.

  • @irfanullahqureshi8534
    @irfanullahqureshi8534 Жыл бұрын

    Thanks for everything 😊

  • @usmanmuhammad4853
    @usmanmuhammad4853 Жыл бұрын

    imagine 22mins video explain in details what ur teacher or lecture don't even do in the entire session 💯🙌

  • @indigoGoddess7
    @indigoGoddess74 ай бұрын

    This was very well explained and I plan on taking this course. I had 2 horrible professors that made Data Management so unnecessarily difficult and they talked way too much about irrelevant things. Thank you so much and don’t worry about your voice!

  • @MF-ty2zn
    @MF-ty2zn Жыл бұрын

    Calculus AB is being taught to juniors in high school. So help is needed.

  • @ejaymorato2859
    @ejaymorato2859 Жыл бұрын

    Such a big help for slow learner like me ty so much and godbless

  • @possum10
    @possum104 ай бұрын

    Great lesson! Im a year 10 and this was very clear and knowledgable

  • @pablohierro5060
    @pablohierro50603 ай бұрын

    Nice workframe that you created teaching Math. Got a lot of insights. Abou maths

  • @ali19920323
    @ali19920323 Жыл бұрын

    I just started my Masters degree and it includes calculus. Thank you for these videos and hope your channel grows. btw subscribed today and cant want to learn more

  • @user-iq5pv6gy2x
    @user-iq5pv6gy2x7 ай бұрын

    Thank you soo much. ❤❤❤

  • @qianc3919
    @qianc3919 Жыл бұрын

    great video thank you

  • @user-uh1gz9by7u
    @user-uh1gz9by7uАй бұрын

    Thanks very much sir

  • @nemanilalabalavu1102
    @nemanilalabalavu110227 күн бұрын

    Thanks again.

  • @user-iq5pv6gy2x
    @user-iq5pv6gy2x7 ай бұрын

    Thank u soo much!

  • @rangyfellaomobolaji850
    @rangyfellaomobolaji850 Жыл бұрын

    I started smiling 🙂 I believe I'm going to understand this lesson, The introduction is an interpretation of my mind 😢😂❤❤❤. Ive been looking for this kind of video, God bless you🫶🏽👏🏽.

  • @empresseternity1

    @empresseternity1

    21 күн бұрын

    God bless you as well 😁💗

  • @henokdosa9235
    @henokdosa9235 Жыл бұрын

    THANK YOU.... THANK YOU

  • @Amiineq
    @Amiineq Жыл бұрын

    God bless u. I haven’t took calc. I will probably take it next semester or next year but I need to take the managerial calc. Idk if it’s because it’s almost 4:AM on a Thursday morning. But I understand this. Thank u I hope this is what calc looks like and doesn’t change for the love of god.

  • @physidive
    @physidive6 ай бұрын

    Great class.. 👍🏽

  • @benbenrecipes9212
    @benbenrecipes92125 ай бұрын

    I’m in year 10 and 14 calculus is really really fascinating and interesting to me and you explained it very well thank you

  • @emmanueljallieu8782
    @emmanueljallieu87822 жыл бұрын

    Thank you so much for this video and may you continue to make important lessons like this

  • @gregchambers6100
    @gregchambers61006 ай бұрын

    Yep. Nice. Gotcha! Thank you!

  • @yenesupinipay3014
    @yenesupinipay30146 ай бұрын

    Good explanation

  • @WitherFox146
    @WitherFox146 Жыл бұрын

    Cool I am in 7th grade and haven't finished pre algebra yet and made 100% sense to me. I will take pre calculus in high school. It reminds me of slope of a line.

  • @zakariyyaschool3884
    @zakariyyaschool3884 Жыл бұрын

    thank you .

  • @Eztoez
    @Eztoez2 жыл бұрын

    I love your way of presenting math. Its super cool. Do you do slightly more advanced courses? Lagrangians, Fourier and Laplace transforms, Hamiltonian Operators, tensors, matrix mechanics?

  • @rimui_castro1280

    @rimui_castro1280

    Жыл бұрын

    are u with us 😂😂 or in the Pluto planent😂

  • @datsnuffydude5460

    @datsnuffydude5460

    Жыл бұрын

    Lol, sounds like you don’t need help.

  • @staryxmoonlit

    @staryxmoonlit

    Жыл бұрын

    The fact I can’t even tell if you’re speaking English or not says a lot 😭 lagrangians what now?

  • @godknowschikwe8549
    @godknowschikwe8549 Жыл бұрын

    Such a great lead. Calculus demystified

  • @terrencerobinson7553
    @terrencerobinson7553 Жыл бұрын

    It have seen self explanatory, but does takes a lot of practicing to get the hang of it

  • @user-sg5jq3ig4k
    @user-sg5jq3ig4k Жыл бұрын

    Extremely useful but how you get the algorithm for it?

  • @kenyaandrew3754
    @kenyaandrew37542 жыл бұрын

    When are you dropping pre calculus on your website?

  • @John-stellar
    @John-stellar6 ай бұрын

    Which application are you using for this Green board, pens, and colors?

  • @susanstamboulian646
    @susanstamboulian6463 ай бұрын

    Makes me want to watch Good Will Hunting!

  • @acdece.mc21
    @acdece.mc216 ай бұрын

    Im in grade 8 im looking for a boost and your explanations help me a lot

  • @Photonphantom
    @Photonphantom6 ай бұрын

    I am actually a 7 th grader very interested in math ( actually idk why iam learning this in this age but 😅) . You teach very well 👏 l ,thankyou for your notes! 📝 😊

  • @dorothymarfleet35
    @dorothymarfleet35 Жыл бұрын

    Hello John: I enjoy your videos very much. I was born and educated in an English Grammar School back in the mid fifties to early sixties (yes I am ancient and left school in 1961). I find it puzzling when you mention students taking cell phones to class ???. We were not allowed to take a calculator to class !!! Had we taken one to an exam room, we would have been disqualified. The only thing we were allowed to carry was a slim book of log tables. All calculations were made by hand. English kids were made to know multiplication tables just like learning A.B.C.s at a very young age. Does England sound very Dickensian to you John?

  • @dareese6778
    @dareese6778 Жыл бұрын

    The 1>2 area is an approximate triangle. Why not figure the area of the triangle on each side, then subtract to figure the areas on each side of the curve?

  • @B89Stranger
    @B89Stranger6 ай бұрын

    My first ever calculus lesson. OH BOY !

  • @v-gc7257
    @v-gc72572 жыл бұрын

    Very helpful; Had a hard time with calculus back in high school days

  • @goodoldrodg9043
    @goodoldrodg90438 ай бұрын

    A nit: proBlem not prolem. It's a very small nit. (30 years since I taught my last algebra class. 60 years since calculus. I still remember some. You are helping me slow cognitive decline. Thanks)

  • @Capybaras224
    @Capybaras224 Жыл бұрын

    this helped me too much

  • @user-ol1mt5eo8h
    @user-ol1mt5eo8h Жыл бұрын

    Excuse me but if I may ask if you do anything with the "dx" part

  • @ageingungracefullypushingt7135
    @ageingungracefullypushingt7135 Жыл бұрын

    That was fun.

  • @edshelden7590
    @edshelden75902 жыл бұрын

    I think it was very well explained, at least to a 72-year-old who flunked calculus once in college and got a D the second time around. You did mention note taking. This is incredibly difficult for a young student or an old guy. As far as I know there is real no class on note taking. Now if the students had a handout on paper in front of them where they could kind of write little notes that might be of some use. I also think that is very important to give students a real life use of why you would ever want to do a calculation like you should. Something like when SpaceX launches the first the rocket. X could be the pressure building up on the rocket as it approaches Max Q

  • @jerrymiller2367

    @jerrymiller2367

    2 жыл бұрын

    I agree that note-taking is hard in math. Maybe some handouts with mini-quizzes built into them.

  • @jerrymiller2367
    @jerrymiller23672 жыл бұрын

    Maybe I missed something here, but why did you plug a 2 in for the value of 'n' in the first equation? why not use 3 or 4 or anything else?

  • @petercarney1563

    @petercarney1563

    Жыл бұрын

    Specifically looking to solve the x squared(^2) function, see 10:06 into video

  • @why9078
    @why9078 Жыл бұрын

    5:30 For my use

  • @oke72
    @oke722 ай бұрын

    In the eight grade and I got bored so im gonna try to follow this cal lesson

  • @ICit123
    @ICit123 Жыл бұрын

    Skip the intro /commercial (25% of video) and go to 5:40.

  • @hollowtongue
    @hollowtongue3 ай бұрын

    Like button smashed

  • @user-cl3ze1lv8o
    @user-cl3ze1lv8o Жыл бұрын

    Very food boss very good seems like you actually care about students learning

  • @KrisShincha
    @KrisShincha7 ай бұрын

    I am studying in 7th grade but understood everything you said . And is the answer 8.6 reoccurring for the last example

  • @robertnielsen2461
    @robertnielsen24612 жыл бұрын

    C represents a constant whose graph is a straight line and does not have area and therefore its area value is zero.

  • @pxtxto2479
    @pxtxto2479Ай бұрын

    5:33 end of intro for anyone who wants it

  • @mx5083
    @mx50835 ай бұрын

    Una gran duda ¿por qué se restan las áreas en 0 a1? Si en el siguiente ejemplo 1, 3 ¿ Es lo mismo? si es así yo cometería el error sumando los dos rangos.

  • @ndailorw5079

    @ndailorw5079

    5 ай бұрын

    Don’t know if I am understanding your question correctly… If you integrate the function from 1 to 3 you would simply subtract 1 from 3 in doing the mathematical calculation after integrating. Here, the area of the function being integrated is from 0 to 2, so you would subtract 0 from 2 by that same process. If it were from 1/4 to 1/2, you would employ the very same process! Does that answer help any? For better and greater clarity, perhaps, let’s use a simpler more straightforward geometrical figure, a rectangle, and suppose you integrated the shaded area of the function y = 2. “Its integral would be 2x.” And let us suppose that the boundaries of the function were the x-axis from x = 0 to x = 4, the y-axis from y = 0 to y = 2, the line x = 4, from y = 0 to y = 2, and the line y = 2 from x = 0 to x = 4. Now, we already know, even before doing any calculus at all, that area has to be a rectangle with a length of 4 units and a width of 2 units, and that the product of those dimensions must give us an area of 8 units^ 2. Now if you integrated that area, which should give the integral of 2 from 2 to 3 to get 2x from 2 to 3 by subtracting 2 from 3 you should get 1/4 the area, which would be 2 units ^2. Whereas on integrating the same function from 0 to 4, which is the entire area of the rectangle, by subtracting 0 from 4 in doing the math you should get 8 units^2, which, again, is the entire area. That’s how it’s done… Hope that clarifies things somewhat rather than confuses you even more. No sé si entiendo bien tu pregunta... Si integras la función de 1 a 3, simplemente restarás 1 de 3 al realizar el cálculo matemático mientras integras. Aquí, el área de la función que se está integrando es de 0 a 2, por lo que restarías 0 de 2 mediante el mismo proceso. ¡Si fuera de 1/4 a 1/2, emplearías exactamente el mismo proceso! ¿Esa respuesta ayuda en algo? Para mayor claridad, tal vez usemos una figura geométrica más simple y directa, un rectángulo, y supongamos que integra el área sombreada de la función y = 2. “Su integral sería 2x”. Y supongamos que los límites de la función fueran el eje x de x = 0 a x = 4, el eje y de y = 0 a y = 2, la recta x = 4, de y = 0 a y = 2, y la recta y = 2 desde x = 0 hasta x = 4. Ahora, ya sabemos, incluso antes de hacer cualquier cálculo, que esa área tiene que ser un rectángulo con una longitud de 4 unidades y un ancho de 2 unidades. , y que el producto de esas dimensiones debe darnos un área de 8 unidades ^ 2. Ahora, si integraste esa área, lo que debería dar la integral de 2 de 2 a 3 para obtener 2x de 2 a 3 restando 2 de 3, debería obtener 1/4 del área, que serían 2 unidades ^2. Mientras que al integrar la misma función de 0 a 4, que es el área completa del rectángulo, al restar 0 de 4 al hacer los cálculos deberías obtener 8 unidades ^ 2, que, nuevamente, es el área completa. Así es como se hace... Espero que esto aclare un poco las cosas en lugar de confundirte aún más.

  • @indirawalavalkar1972
    @indirawalavalkar19727 ай бұрын

    Very good explanation for 79 years old woman

  • @edshelden7590
    @edshelden75902 жыл бұрын

    One of the problems with trying to explain this calculus is there is no reference to the real world what would you ever use this formula or calculus for? A good example might be when SpaceX launches a rocket. The narrator is explaining as the rocket accelerates it’s approaching Max Q. Maybe the students could calculate how much pressure that really might be.

  • @jeffthevomitguy1178

    @jeffthevomitguy1178

    Жыл бұрын

    It’s used in computer science.

  • @firearmy0958
    @firearmy09582 ай бұрын

    guys is it always x*2 or does it change?

  • @silentintegrals9104
    @silentintegrals91042 жыл бұрын

    nice, solving integrals is so much fun

  • @fazzynone1

    @fazzynone1

    11 ай бұрын

    😮

  • @danishdude6750
    @danishdude67509 ай бұрын

    When you set n = -1, you will get x^0/0, and you can't divide by 0 (zero). But there is a function that works as the integral of x^-1 or 1/x This is the natural logarithm of x + C. At least, that's how I remember it from 43 years ago 😀

  • @tonymanns8249
    @tonymanns82498 ай бұрын

    Nice intro for use who are new to Calculus. I wish he would have given the answer for the definite integral of n=3 to n=1.

  • @ndailorw5079

    @ndailorw5079

    5 ай бұрын

    Which definite integral of n = 3 to n = 1 are you referring to? And it should be n = 1 to n = 3, not n = 3 to n = 1. That would give a negative answer and there no such thing as a negative amount of area, land, for instance! Area can be subtracted from another area, but in the case of a single area, such as here, there’s no such thing as negative area, or negative length, or negative time, etc. Those things do exist! It’s an existential truth ..can’t have -88 square acres of land …there is no such thing….?! If you mean this same parabola here, you’d simply do the same thing he does here with 0 to 2, or, as you say, n = 0 to n = 2 (these are called the “limits of integration,” 0 and 1 being the lower limits, and 2 and 3 being the upper limits), respectively; but for the “limits of integration” which you mention here, n = 1 to n = 3, you’d plug in 3 and 1 for x instead of plugging in 2 and 0 for x in the integral (x^3/3) - (x^3/3): (3^3/3) - (1^3/3) = (27/3) - (1/3) ≈ 9.000 - 0.333 ≈ 8.667 square units. Units being whatever is specified: feet, yards, meters, inches, etc. Here, nothing’s specified, so we use the most general term, square “units.”

  • @tonymanns8249

    @tonymanns8249

    4 ай бұрын

    As I'm new to Calculus I'm also new as to how to write about it. However, I can assure you that calculating a negative area can have a use. Up/down, right/left, matter/anti-matter.... LOL

  • @ndailorw5079

    @ndailorw5079

    4 ай бұрын

    @@tonymanns8249 My intent is not to say that we can’t subtract some particular amount of area from another, of course we can. Subtract 5 acres from 10 leaves 5 acres. So that it’s a mathematical as well as a real life possibility. The land exists. But, that’s just it, the land we subtract is real, it exists, it has to! In that sense, mathematically, it has a negative number, but the land itself exists.

  • @user-vj3co7kl7h
    @user-vj3co7kl7h2 ай бұрын

    Im only 12 years old and this is so understandable idk how people find this difficult

  • @yunhyunhyunh
    @yunhyunhyunh6 ай бұрын

    I just watched this video to realize I know all of basic calculus but I never realized it because I’m not in english language country and nobody ever told me that’s what it is. I think I could say we just called it derivatives of a function/mathematical analysis but that’s not really the best translation for that

  • @halwag
    @halwag Жыл бұрын

    It's 'calculus', not 'cackles'. Cheers, and keep up the work!