Definite Integral

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This calculus video tutorial provides a basic introduction into the definite integral. It explains how to evaluate the definite integral of linear functions, rational functions, and those involving natural log functions. The indefinite integral gives you the antiderivative function in terms of x where as the definite integral gives you a specific number or constant as an answer. This video explains how to evaluate definite integrals using the fundamental theorem of calculus part 2. This tutorial contains plenty of examples and practice problems.
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

Опубликовано:

29 июн 2024

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Комментарии : 255

@TheOrganicChemistryTutor Год назад

Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-d4CdMoucVfs.html

@sonice9020 Год назад

ur the fucking goat

@bottomless45 Год назад

Thank you so much

@jayfonsmalaran2224 2 месяца назад

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@Phyto. 6 лет назад

You have helped me pass calculus, physics, chem and organic chem. I cannot thank you enough!!!

@tasiastas8628 4 года назад

Thank you so much. Your videos are super helpful.

@jacksonpope3955 3 года назад

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@hunnidasiago746 2 года назад

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@thepiggdude663 Год назад

Bro ong

@Matt-dy7uq 3 года назад

You and Khan academy are the only reason I haven't dropped out of college

@KineticMoha Год назад

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@jabbathehut1871 Год назад

Truth. To hell with our useless school teachers, they teach no one jack shit for years. This guy is a hero.

@snowgolem007 10 месяцев назад

So true

@thanhnhannguyentran1000 9 месяцев назад

same here

@redhidinghood9337 7 месяцев назад

fr same

@terrancepage9163 2 года назад

i spent 5 hours in my textbook trying to learn 20% of what i learned in this 10 minute video. Thank you, from the core of my being!

@Cinamuna 4 года назад

i really appreciate how you try to incorporate mental math as much as possible. i admit, i have such a bad habit of clinging onto my calculator.

@bramancronin8013 3 года назад

my problem is all the damn teachers when they show this stuff just skip over that and i get confused more by the calculations than the actual meat of the problem

@simlpyme8052 3 года назад

Braman Cronin Sameee

@jalenandrew2387 4 года назад

Teacher: "raise your hand if you've learned this stuff before" Maybe 1/3 of the class: raises hand Teacher: "Good, good we'll go over it really quick since most of you have already learned it" The other 2/3s: 🤦‍♂️

@katarina95ful 2 года назад

ı am here for literally the same reason

@woozihae 2 года назад

Literally same but with another class.

@aleiahmadellaine4914 3 года назад

This man has been helping me since I was 11th grade. Sir, I can't thank you enough.

@Benedict_Miriti 3 года назад

I literally attend my lectures in class only to come back back and grasp the content in this channel

@tictac3361 2 месяца назад

I watch these videos during my lectures. I just show up for the attendance points lol

@jvjjjvvv9157 3 года назад

These videos are very useful as basic refreshers for people who studied college-level calculus and then many years later simply forgot, like me. I'm doing a statistics and data science program now and I realized I just didn't remember the first thing about integrals (which I need to be comfortable with, for this program), and your videos have helped me a lot in record time, basically one hour. Thank you!

@zoepather5536 Год назад

The amount of engineering modules you’ve helped me pass is crazy😭 I wouldn’t be in my second year without you

@user-kl2yq2qf5j 23 дня назад

Me too 😢. I just wish I saw him face to face and say thank you sir

@hawa7784 3 года назад

I have a calculus test tomorrow, and your explanations are so thorough and helpful. Thank you so much!!

@bigedman365 4 года назад

Thank you so much man, never understand definite integrals until now (the night before the exam) because my teacher teaches us like we already learned this before so when he gives his lectures it doesn't make any sense to me. Thank you

@wokoloko1352 3 года назад

THE BEST CALCULUS TEACHER EVER👌👌 Sir keep it going...👍👍

@phanthanhchung7273 Год назад

There's a reason why you're among the best online teachers on the RU-vid platform, and it's both the quality and amount of topics you can cover.

@sashacooper9326 Год назад

Love this video, especially the explanation of cancelling C, which I'd never really felt like I understood until now :)

@sanakhan-pv8pj 11 месяцев назад

This and khan academy are the only channels that are god-gifted! THANK YOU SO MUCH!

@edisonflores6486 5 лет назад

i can't thank you enough for the help, your explanations are very clear, clearer than the clearest sky,

@_blueshift_3976 6 лет назад

Thank you for all videos. They have always been helpful, keep up with the great work.

@Backflipmarine 4 года назад

These videos constantly help me out! so thanks a million :) Only advice is that I need to adjust volumes every time to listen, please amplify the audio a little, even on max speaker volume its kinda quiet.

@hyperdexza 2 года назад

i can't imagine university life without you 🙌 great job sir

@Ricci04 4 года назад

Thank you, I passed my Differential and Integral. God bless you!

@ethanhoffman4931 11 месяцев назад

thank you so much for these videos. im a student going in to the 11th grade. I'm taking calc ab over the summer, and wouldn't be able to do it without you!

@Itsmagalie_ 5 лет назад

Thank you so much I didn’t get it in class but you made it easier to understand

@Korvilon Год назад

Im mad that my college professor didn't explain this topic, this well. Everything just clicked in my head on this topic now. Thank you.

@user-gi8lt3tc8n 4 года назад

You are the reason that i started love with calculus Sir

@dillets1090 2 года назад

the planet's biggest life saver. I thank you good sir. You came in clutch.

@AlexVoxel 5 лет назад

Thank you, this is a really clear explanation!

@varunjishnu Год назад

Tmrw is my test and this video taught me more than what my friends and teacher tried to teach me

@bottomless45 Год назад

I love your channel so much, thank you for everything that you do.

@adamzwolinski372 Год назад

nice video, but those are very simple examples for basic understanding . I never even had such easy examples in my classes. Would love if you did a video for more complex examples

@alfiaisyahazhari58 4 года назад

Sooo tomorrow is my exam for intergration, so hopefully at least i'll get 95 out of 100. Wish me luckk. Btw thanks for the vidio, may Allah protect you

@alfiaisyahazhari58 4 года назад

Thank you actually i get 95 score as i wish😁

@nihatdonmezov8354 3 года назад

@@alfiaisyahazhari58 Allah helped you

@polarbear6479 3 года назад

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@Mhmdmikail 3 года назад

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@FijiWater1227 2 года назад

What did you get?

@etalien-dm9ki 2 года назад

I don't think you understand the amount of kids you have taught with these videos. how many failed exams you prevented. you sir, deserve nothing but the best in life

@miavasher7991 2 года назад

thank you so much! i had covid and missed a week of lecture and this really helped me

@ElectricRCAircraftGuy Год назад

4:00-4:35: the constant isn't needed in definite integrals because it cancels out. That's what I needed to know! Thank you.

@darshanaduttachoudhury1122 Год назад

You are the best teacher I have ever seen.

@abugslife2461 3 года назад

Thank you!!! Catching up on these concepts before my calc 2 class starts, ahhhh!!!

@lukundochilela6152 6 лет назад

thank you so much. your videos have made me improve a lot

@thobelanichili512 2 года назад

best tutor ever existed you are a genius !!!!

@wrjazziel 2 года назад

Thank you so much, you are the best on RU-vid!

@bariscankaya6754 2 года назад

you are definitely the best youtube teacher ever

@ezekielgaletshabe9094 4 года назад

u r so good ....wish they can be lectures like you in BOTSWANA

@mlralinku2552 3 года назад

i love you man, you help a lot of people

@arcaderex3872 3 месяца назад

Can’t imagine how miserable many student lives would be without you existing lol

@astron099 4 месяца назад

I just passed my calc 1 and chem with the help of your videos! Hopefully, three years from now, I could come back here and proudly say I've graduated as a computer engineer❤

@kostas0352 Год назад

You're not the hero we deserved, but the hero we needed

@moonding3979 4 года назад

The way my professor solve definite integral is so different, he use the power rule first before proceeding to the deffinite formula which brought me alot of confusion.

@aftabhossain3171 6 лет назад

Sir,Thanks for your help. Plz make more video

@Zolt.fx17 Год назад

Omg i got Physics exam Tommorow and you help me alot with this video, i can't thank you enough 💯

@koka_majstor 2 года назад

An 11 min video taught me more than 2 years in in high school and a year in college

@harinirajesh3838 3 года назад

This video, saving grades since 2018

@mirsahin6276 2 года назад

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@ambika1379 Год назад

i read my textbook and all of my notes and i still didn't get the concept. less than 5 minutes of watching this and i got it. thank you

@user-ec2cz1vx6o 5 месяцев назад

You made me understand basic math,,,thank you so much

@nelhoops8914 3 года назад

This channel helps me a lot

@noman1403 2 года назад

Soooo helpful!! Thank you so much 💕

@ayushman19 9 месяцев назад

I can't understand definite integration through my maths teacher despite him explaining that in our native language and this guy speaks in English I am able to understand this way more better.

@alijalal7687 Год назад

how can we thank this guy enough?

@rosette_renah 3 года назад

Just beautiful. Am going to use your playlist to finish integrals

@melanatedmessages6509 3 года назад

AD: "whattt!?! Still searching RU-vid for math help?" ME: Yessssiirrr

@josep_romero 3 года назад

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@toyinaina6747 3 года назад

"are the videos from 2006 really helping" yessssss

@thermoreception 9 месяцев назад

Once again this guy taught me a concept in 20 seconds while my professor couldn’t do it in 2 hours

@adokiyeiworima6309 5 месяцев назад

I so love their method of teaching

@ChapraZila 5 лет назад

nice tutorial ........ pls make complete video of all chapter of thomas calculus

@qm7971 3 года назад

Since when this guy's channel has become my lecture videos instead

@moonibor9271 3 года назад

We don't know how to thank you enough 🥺💓

@asmocarab9344 4 года назад

Thanks teacher You Sve my Education

@hasansaleem4983 3 года назад

Thankyou , may God guide you to the straight path❤️

@rigatonischnapp898 4 года назад

Much appreciated brotherman!

@Bunny78616 2 года назад

Best lectures ever👌

@laurenrangel5519 4 года назад

Literally my lifesaver

@georgesadler7830 Год назад

Professor Organic Chemistry Tutor, thank you for explaining the differences between the Definite and the Indefinite Integral in Calculus. This topic is used every day in Advanced Mathematics. Professor Organic Chemistry Tutor, at the 6:15 minute mark, the integral of 8 divided by x cubed from minus three to four is infinite. This is an improper integral in Calculus. In the final example, there is an absolute value sign missing after the ln. Please correct these errors in the video.

@NathanLoveridge 4 года назад

Great teaching!

@roogle3878 4 года назад

This is some beautiful mathematics

@sisiphosidiya6485 2 года назад

Mathematical Economics lecturer is you, my real one

@krizylbaguhin9188 5 месяцев назад

You have saved me sir! Thank you so much!

@malindrome9055 Месяц назад

I have a final tomorrow and you are absolutely saving my final! I dont think I will get an A on it, but I now dont think I will fail it and I think I will end up with a B for the class!

@Diaryofaninja 4 года назад

For the problem presented at 6:15 this is wrong. You can only evaluate the integral like that if the function is continuous from a to b which it isn’t, there’s a V.A at x=0. You have to separate it.

@serbanhoban1517 3 года назад

Exactly, and if you separate it you will find that the integral diverges

@_buany8701 2 года назад

This because I just watched a video where he said you couldn’t do this so now I’m confused

@andredubbs4854 2 года назад

@@_buany8701 just watch the graph of the function on a desmos. try to find the area from -3 to 4, you'll see a vertical asymptote at x = 0. Which means your definite integral is infinite, you have an infinite area kinda, its a big ass space lmao.

@Meganlonadon 2 года назад

this guy's a hero

@abbypelser2191 2 года назад

You got a lot of good karma comin your way man for putting out these videos… you have helped though thick and thin I love you brutha

@user-gq6tu7hi6v Год назад

I'm watching you in calculus class. Your method took one line on a page, the professor's method took a few dozen

@PK-qv5kv 2 года назад

you're the best dude

@nightstarquotes8 9 месяцев назад

I cannot support you other than giving you a sub, like and comment, but you are SO AWESOME

@langelihleconco 3 года назад

This channel saved me from failing maths in University

@edreport2560 Год назад

Great explanation

@ninjjj80 Год назад

extremely easy to understand, really paid for college just to watch your videos lmao

@munderabukhder9022 5 месяцев назад

Excellent video man. Damn.

@Alfredo5883 4 года назад

Great video!!

@danichang2700 2 года назад

THANK YOU SO MUCH, you're such a pleasant teacher!

@user-kn2ub2cj8z 2 года назад

Thank you sooo much you are amazing 💛💛💛

@SamiTaty-qx5ke Год назад

Thanks a lot you are the best

@frozen27 3 года назад

So helpful 🙏🏼

@lividical3672 7 месяцев назад

You had secret lab ad and it made me cry because I don't have the money for that. I was just stalking it and now I'm bummed while learning math.

@rezapishkar3181 3 года назад

thanks, great video

@espyslays4653 3 года назад

For the problem at 7:30, wouldnt you have to take the lim as a approaches 0 from the left, and the lim as b approaches 0 from the right, since the denominator of the oroginal function is x?

@JKMath 2 года назад

He definitely should have taken into consideration that the function is not defined at x=0. This normally would not be a problem if the bounds did not include 0. For example, if the bounds were 1 and 4 rather than -3 and 4, then his approach to solving that integral would be correct since 0 is not included between those bounds, just 1, 2, 3, and 4 would be. However, since the bounds are -3 and 4, the value of 0 is included between them, and so you would be correct in saying that a different method of solving would be necessary. So for anyone taking a calc 1 course, don't worry about coming across this type of problem until you take a calculus 2 course, or cover the concept of improper integrals. Hope this helps!