Definite Integral Calculus Examples, Integration - Basic Introduction, Practice Problems

This calculus video tutorial explains how to calculate the definite integral of function. It provides a basic introduction into the concept of integration.
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

[@TheOrganicChemistryTutor]

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

[@trippieblue9207]

Bro, I need to take you out to dinner or something. I don't think you realize how much stress this saves me

[@pinpon163]

I'm not gay, but I would give this dude a brojob.

[@infiniteonline1729]

😭And I'll take him for drinks right after 😂💯💯💯

[@oliviermadeus9884]

@@pinpon163 lol cant even cap man this guy is a life saver. Learned a whole semester I was failing in 4 hours of his videos ended up passing

[@mrw5258]

@@pinpon163 wtf

[@breadcurate62]

@Faathir Arsa probably a spa day for guys lol

[@sophiabibb3194]

So far, he has taught me general chemistry, organic chemistry, and now calculus. Does this man know everything?!

[@lmaoisaac623]

pretty much

[@yokun1885]

Does he know why Sarah broke up with me?

[@justasydefix6251]

@@yokun1885 He probably knows, we need relationship lessons from him too

[@zerosauce6903]

Does he know when the pain is going to go away?

[@rohansahare3719]

Are u opera singer? I don't know cuz I am from India...

[@georgikotlarski291]

I studied integrals at uni for 4 months, didn't learn a thing. This guy explains them in 30 minutes and finally gives me a clear idea of what the bloody hell is going on. What an absolute legend. I just saw the date of the video - 19.12.2016 - best Christmas present ever!

[@beoptimistic5853]

kzbin.info/www/bejne/rHenfpR-hpmejZo 💐..

[@liveformusic-south7675]

Bro,Now 22.11.2021.Today am i watched...Before a month of christmas...Same pitch bro

[@maellecoent7663]

Exact same situation for me man

[@chandranichaki9580]

kzbin.info/www/bejne/kGeaq35qd5uWnLc😊

[@lemondrop8203]

People when they don't pay attention in class always blame it on the school system

[@preston7246]

It really makes me wonder why don't all teachers teach like him. He doesn't skip steps to save time and he explains every little detail even the simple math steps and I think teachers automatically assume you can already understand all the skipped steps but often times that seems to be the connection people are missing.

[@TBrown-zy2dr]

100%. Studying for the FE. All that I am doing for the next several months is learning the steps my teachers skipped.

[@bradisenor8938]

I just learned Integrals in 30 mins, this man is a god

[@onuronal2253]

Brad Isenor fuck me

[@cyboss-3562]

wtf u are stupid

[@pashtuntimes1859]

😂😂😂😂😂

[@NaawG]

I Em The Future Flash GodSpeed how much further does Calc 1 go?

[@hizkiacorinthians268]

No, Jesus Is our God..

[@HurleyWeezer]

13:25 When he said "Now what exactly is 9?" my brain suddenly started playing Vsauce music in the backround

[@justinmraap]

For your convenience: kzbin.info/www/bejne/in-VZpqeoMuah6M

[@HurleyWeezer]

@@justinmraap I thought it will be Moon Men Pinkerton or Blue Album style

[@niun10]

I use your chemistry and calculus videos religiously. I wish you were my professors!

[@goodboi1232]

I know this was 2 years ago but same here dude. he makes it soo much easier for me

[@niun10]

@@goodboi1232 glad you're also getting good use out of it ;)

[@ishanbhatt9934]

@@niun10 now hes helping me 3 years from your comment. this man is literal a literal god

[@chandranichaki9580]

kzbin.info/www/bejne/kGeaq35qd5uWnLc😊

[@oyunlarveparodiler3221]

5 years later and I'm learning from this video :)

[@gamerone3907]

Im watching this during the exam you’re saving my life

[@ktbdw2403]

During??? 🤣

[@evanskuria2288]

@@ktbdw2403 😂haha me too

[@koomoo]

your videos are awesome and help a lot of people. you explain every step even when it's simple. this helps a lot. thank you.

[@SirNancelot]

Amen

[@Naso0613]

I understood something my lecturer was trying to explain in an hour, just in 1:15 mins of this video. Nothing but high praises for you man

[@obliviondew9268]

professor of the decade !! thanks professor for saving my grade :)))

[@dhruvd247]

Oblivion Dew

[@expandingbrain1625]

This video will save me from receiving "F" or "5.00"

[@Bemath_kh]

The Psycho Gamer Wow

[@tommon02]

This is great. It's been a very long time since I was in undergrad and now that I'm in grad school, I forgot some of the basics. This is a great refresher. I found exactly what I was looking for, and kept watching for a bit. Definitely saving this to my favorites.

[@popsiclesoda445]

I'm forever grateful for your teaching, I recommend you to all my friends that need help. I'm going for Electrical and Computer Engineering (GPA 3.7) and I tribute your channel to my success.

[@electricalengineeringbymik3603]

Same here. I’m going to ECE too

[@TrellTrill]

Software Engineering here

[@hoapham7389]

You teach far better than my math teacher. subscribed! Thank you so much!

[@7odz]

what if your teacher saw your comment ?

[@lilvro7016]

@@7odz why would he care

[@fancygal444]

You literally always have exactly what I want, I have never been able to find that. You are a blessing I can't thank you enough

[@sinistril]

Perfect video as I get ready for Calc II on tuesday, love the progression from easy examples to medium difficulty examples. Thanks

[@risenyokihangad1082]

I'm 13 and learning thisssss....... Quit a bit nonsense but i can learn fast as i can take but sometimes im bored...😭 Trying to educate my self faster I don't care if they just call me crazy beacuse i practice it advance

[@kaelankramer2658]

Many other people have already said it, but your videos are so dang helpful! Thanks for making them, I'm learning so much easier.

[@shivanielitem6533]

Thank you so much for helping survive my classes all year long! U deserve a freaking award or something for this. THANK YOU!

[@janellorozco4206]

thank you sm! online learning has made math so difficult for me. I understand the concept of what I’m doing now and it really brought a smile to my face!!

[@skyfirelane6883]

Thank you so much for your step-by-step instructions on how to perform this. I've been incorporating mathematics exercises nightly for myself to prep for college and to better my arithmetic skills . I was stumped when it came to Integrals: Solve. Before that, I was teaching myself the basics of Calculus close to a year before I came across definite integrals, and let me tell you, with all the reasoning I attempted to apply, I just couldn't figure it out. Thanks to your video, not only do I feel stupid for not seeing it as plainly and effectively you described it, but now I can include this particular exercise with all of my other ones. You're awesome! Thank you!

[@Eric-sq4hd]

wow this is so incredibly helpful. it's almost ridiculous how helpful this is. thank you.

[@khunlunnhtet8056]

Wow This is the best lecture I have ever seen on KZbin.(Want more)

[@mariusdaniel9861]

This man is a true legend,i have learn math from him than i have learned in my those years at High School!

[@swatir.567]

This has got to be a life saver to all who watch it. Although it was long.. I played it at 1.5X and I still got everything you explained. Thank you so much. :) . I just gotta say... You are aceing in your job.

[@fantiscious]

I'm a 10th grader who's trying to learn Calculus at an early age. Thank you for this video :D

[@1998Aisyah]

and at the end of the day, you are always there to save my life over and over again

[@gardeninginthenortheast6220]

Was having the hardest time trying to figure out the anti derivative of e^u and why u wasn't plugged back in. Now I know. Thank you!

[@Solver-mm2lk]

This kid is a saver before I literally was confused what exactly was an antiderivative and how to calculate it. I've watched several of your video's and learned a lot from them. Thank you.

[@buhlechaka7669]

I failed maths at 12th grade but after watching this video, it feels like my first time seeing numbers but I understand them. These videos are helping big time🇿🇦🇿🇦🇿🇦👍🙌

[@patriciakhanye4802]

you my best teacher I ever had. you really rock my math world, I now don't have a fear when my exams comes, you deserve the best

[@renznavales5380]

the process in the book have a huge difference in his explanations which is so much easier and easy to digest and remember, glad there are people like him who makes our life easier

[@theprofessor9827]

I'm a 10th grade student but i always love moving ahead of my class and everyone else in my school including the teachers and bro your videos have helped us to achieve that. I just want to say a really big thank you for all your teachings and hard work.

[@nyumputinngumpetin5335]

Bravo, many Organic Chemistry experts went out to get higher salary from oil companies and such but this guy stick to his ideal to continue further and teaches Calculus now

[@kennsnthumbi6947]

This man has done a great job, have just learnt a lot in definite integral

[@airagog1016]

you have helped so many people (including me rn) you are amazing and I love you

[@distanced]

Bro I can't thank you enough. Statics course moving a lot faster than calc so we started doing problems with integrals before learning them - pretty sure you just saved me

[@mahurosakatetno3778]

When the instructor on the tutorials on youtube is more helpful than the instructor's discussion at the university you paid.

[@Bemath_kh]

Mahuro Sa Katet no 👍👍👍

[@vibewithsri8064]

23:04 was the example I was looking for!! Thanks ya!!

[@xx_ayemaan_xx46]

Dude you just saved my life ......you have earned my respects and support for life 🙇‍♂️🙇‍♂️

[@priscambilo]

I am confident that i can now face the exam. Thanks a lot. God bless you.

[@thegoldlightning]

I’m currently learning calculus. Everywhere source I went to never really clearly stated how to solve integrals. Thanks for your help😊

[@braxtonrolle9027]

Just saved me for my AP Calc AB test tomorrow. You're a savior bro

[@erzcav4793]

I just graduated ur vid of calculus. Now im proceeding to integrals! Man u save me from spending 5thou for a tutor on this topic!!! Thanks!♥♥♥

[@roudinahagag4500]

dude fr thank you u literally saved from failing this semester your videos are the best !!! i s

[@adisterent9874]

how i wish you were my lecturer . i simply love you thanks a million times

[@physes1139]

This video was uploaded on my birthday, an absolute BLESSING

[@josephappiah7386]

your tutorials is fantastic, this is a good job keep it up and thank you very much

[@NoName-hn2il]

Dear god please I have a calc test tomorrow pray for me

[@sudhabalasubramanian4955]

Thank you so much for all your videos! I was so lost on this unit in class and I spent an afternoon watching your videos and got 100 on the test. This was so helpful!

[@adisterent9874]

all i can say is thanks alot you are the best ever tutorial have ever got

[@charlesdpelle]

I've been watching calculus videos here as a 14 year old guy here and i could easily get all of the lessons with this guy

[@lea6207]

yo this just taught me the entire unit in about an hour thank you so much you explain it so well I finally understand it

[@spiderman-zz6nn]

I can not EXPLAIN how much this helped. thank you so much

[@markosatartis6544]

thanks a lot, this helped me a lot. I learned about derivatives but never to certain ranges or whatever the proper term is (evaluated from - to -).

[@kinkac.]

You are the person who deserves to be called a professor:)

[@Serenity.Solstice]

I've come once again to pray to my mathematical messiah

[@kstelakis]

due to covid schools in my country removed these due to quarantine time constraints and now I find them everywhere in uni. Thank god for this guy or i would have been screwed

[@mch86]

I SAW THIS WHOLE STUFF LAST SEMESTER AND I AM HAVING A REVIEW BECAUSE PROFESSORS SAY THIS WILL BE NEEDED NEXT SEMESTER, I DO FEEL LOST BUT HAVING A REVIEW AND SOME TIME INPUT I THINK I WILL BE JUST FINE. THANKS!

[@javiercardoso5669]

This guy saves entire semesters! Thank you!

[@ahmedalhisaie7698]

Thanks a lot I really appreciate your work, its helping me a lot to get a mathematician way of thinking in solving the questions. keep posting more please

[@reaganatuti24]

Men you are my preferred teacher when it comes to matters calculus

[@Seth_Something]

This guy has taught me so many different subjects and don't get me wrong he is very good at it...but his voice is just so calm and mellow it low key is soothing puts me to sleep

[@JobBandola-ne1pj]

I'm only second year sr high school but I started to watch your video about calculus and physics preparing for college life and I'm happy because i can understand clearly your lesson so ty you make me easy to understand mathematics and physics ❤

[@portiamavi8325]

Beautiful. Thank you

[@rap33r100]

Awesome job! Very clearly explained

[@JamesBrodski]

Wow! This is a great video. Thank you so much for making it. It is very helpful!

[@Jigolopuff]

This is so clear thank you

[@maftunaahrorzoda2944]

Thank you so much!!! These videos helped me a lot. They all are clear. As I am an exchange student understanding is hard for me but I understand everything from your videos. And again, Thank you!!!:):):)

[@nerminerafat3980]

I have never commented on youtube videos But i just wanna thank you so much !! For ur awesome videos ,, it really helped ❤

[@insert_name_where]

Thank you so much for this! This video saved my life!!! You, sir, are amazing!

[@mathketeer606]

0:00 - 1:36 .Question 1 1:45 - 2:43 .Question 2 2:53 - 5:44 .Question 3 6:01 - 9:28 .Question 4 9:43 - 10:52 .Question 5 11:33 - 12:10 .Question 6 12:23 - 14:21 . Question 7 14:36 - 17:38 . Question 8 17:55 - 19:11 .Question 9 19:31 - 20:29 .Question 10

[@fatemaalrubayee8701]

Thank u sis

[@mathketeer606]

@@fatemaalrubayee8701 LOL we have the same name 😃

[@fatemaalrubayee8701]

@@mathketeer606 ayyee how are yoo fatoomi

[@mathketeer606]

@@fatemaalrubayee8701 I'm good 😃 😊

[@paulajost5373]

This video was SO helpful. Thank you!!

[@munshifafathima2641]

Very useful.. I could do my masters exam successfully with the help of this video.. lot of love from srilanka🎉

[@mimosavermillion4116]

THANK YOU SO MUCH FPR THIS ONE😭 I was about to cry for this topic coz my teacher didn't teach this and it's included in the exam for almost half of the total number.

[@hexburner4157]

Thanks bro, your videos are always helpful, thank you verrrrrrrrrrryyyyyy much :D I think this guy deserves a noble prize ...

[@dharsonraju5390]

these type of youtubers are way better than all those teachers in academys like vedantu khan and etx XDXDXDXDXD

[@christopherortolano5434]

This guy deserves a trophy or something

[@ReddoX30]

Thank you! This helped me fill some of the gaps!

[@oceanmoyo3966]

mmmmmmmmm this is wonderful stuff thank you so much for excellent explanations sir ,God bless you eternally

[@thecreator9917]

Idk why, but for some reason I find integrals so fascinating. I finish all my calculus courses 2 years ago and integrals always interest me.

[@MMGamingUniverse]

My new BCA Maths channel (Mr high education)👋

[@sammadkhan4459]

Same for me only integration

[@Will_i_amShorts]

I’m in love with this channel

[@mrgamer580]

Bro this is the best explanation that even 2 nd class students can understand 😊

[@okunolaolamilekan173]

You deserve an award 😭❤️❤️❤️❤️❤️❤️❤️❤️❤️

[@lourdjonsalen8465]

The first problem: my answer was near enough. 338/3 . I thought that you can't cancel the plugged value for x, and don't know that cancelling with plugged value will reduce an exponent. Anyway, I like your videos. We honestly are not yet studying about integrals, but I'm just happy that I can understand a few things about it. Thank you a lot. Keep it up!

[@raymondoffice4896]

Thank you sir...you are such a life savior

[@MrMereum]

thanks man needed a quick refresh on derivatives and integrals u the best

[@derivativeaday2857]

Very nice questions to get people started! :)

[@alphasaffi9230]

Actually I really appreciate you sir I was encounter this problems but people just go far way from topic thank you very much for clear understanding

[@judithokemwa2807]

First I try the textbook, then I do this guy's videos and suddenly it all clicks. Then I do the sample problems. The 'Math and Science' guy is also a whiz. So because of these two guys, math actually makes sense. Thanks.

[@clive9271]

You are a genius love the explanations!

[@farahmelissabharambeyguibo2982]

What a work out, it feels like playing Jenga all the way at the top

[@michellecaparas8782]

Thanks for this video. Really appreciate it ...I already forgot this

[@jayniksmathematics]

Thank you so much The Organic Chemistry it is very helpful especially for me taking BSEd-Mathematics and having a calculus 3 for this semester…

[@brittniep9219]

This really shows how useful u-substitution is! I did some of these problems in a fraction of the time.

[@anilsinghyadav6577]

I am an Indian ,may iI talk with you in English?

[@EnviousGamingXG]

@@anilsinghyadav6577 she doesn't care , she's here to study , not to talk with you , lmao 😂 and you are really a shame for us indians , what a simp!!! 💀

[@nrgking1667]

@@anilsinghyadav6577 sheeeesh bro tried that mathematical rizzzzz😂

[@rathbird67]

Thank you for the simple explanation!

[@arsalhumayun1412]

Best Mathematician on youtube...

[@mavirayla2209]

I'm not even taken calculus as of today... Now this video makes me want to