Mean value theorem for integrals (KristaKingMath)

► My Applications of Integrals course: www.kristaking...
Learn how to use the Mean Value Theorem for integrals to prove that the function assumes the same value as its average on a given interval.
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If you could use some extra help with your math class, then check out Krista’s website // www.kristakingm...
● ● ● CONNECT WITH KRISTA ● ● ●
Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student-from basic middle school classes to advanced college calculus-figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: www.kristakingm...
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[@c-wayne-u]

Hi. I am a early retiree (enterprise technology architect). but still love math and science. I spend a couple nights a week tutoring grand kids and their friends at various stages of algebra, geometry, calculus, and computer science. Just ran across your videos and was very impressed with what you have done. I have added you to my list of resources. ;-)

[@Scarecrow545]

She has such a reassuring voice.

[@ThePinoyMamba]

Very well done K!!! Every time it gets easier! Love your easy approach, very analytical and on the spot. Thanks!

[@kristakingmath]

Glad I can act as a refresher. I always wonder how my education would have been different if I were growing up with this technology.

[@ReadyToRek]

Thank you, Krista! I'm studying to be an astrophysicist and every time some formal calculus problem comes up I know I have your videos to remind me of concepts I've forgotten. I wish I had these videos when I was in Calc I and II. :P

[@kristakingmath]

Thanks! I love to hear that. :D

[@kristakingmath]

Awesome, Wayne!! Thank you! I hope the videos will be a resource to you and to the grand kids! And congrats on the early retirement... I hope you're having a blast!! :D

[@kingzeroman]

THANK you, this was the clearest explanation I found.

[@kristakingmath]

:D

[@MsReeses97]

really good video! how did you know if you were supposed to use the mean value theorem or the intermediate value theorem?

[@kristakingmath]

Glad I could help! :)

[@GundamDestiny10]

hi, I just want to ask if you have any videos that teaches you on how to look at the equation and how the graph looks like (sin x^2, x^3, ect). im taking calculus 2 and my professor don't allow any calculators at all

[@ryuyusuke8911]

Thank you so much, I love you ! Today is my final at night. Thank you for reassuring me.

[@jayoberlander2954]

I was taught that with the mean value theorem for integrals you are supposed to integrate the function to find the value, set that equal to the function at c multiplied by the average and then solve for c to get the values?

[@kristakingmath]

thank you! :D

[@hg2.]

Had some head scratching in this one, but will move on and if it (the Mean Value Theorem) comes up again I can go back earlier vids and brush up. That's one of the beauties-benefits of Krista's videos.

[@104_harsh]

Your amazing teaching skills keep it up... Could plse tell me the name of software you had used in video . Chalk effect is looking quite good.

[@kristakingmath]

The piece of chalk is an image that I drew myself, and then I insert it into the video using my video editing program, which is called Screenflow. :)

[@Goldname1]

What does it mean by average value of the function.

[@kristakingmath]

hang in there! It just takes practice.

[@c-wayne-u]

Great videos. These are all totally awesome... THANKS.

[@eyrar99]

Thank you! This was so helpful I now plan on watching all of your calc videos before the test... Which is tomorrow...

[@kristakingmath]

Anna Kane I'm so glad it helped! Good luck on your test tomorrow!!

[@kristakingmath]

That makes me happy. :D

[@anoirtrabelsi8645]

IMO 2014 please !! :D

[@chetanmeena6821]

please share lecture on mvt in multi variables

[@aimz2014]

So is average value the same as the mean value? I'm a little confused?

[@Goldname1]

Average is the same as mean.

[@MsReeses97]

what "average" are you referring to?

[@Regrets911]

1:20AM And yew helped me out big time!!! Engineering student has fallen in LOVE with his HOT online teacher!! woot woot!!!

[@kristakingmath]

love you too!! :D

[@saaizd]

I love you!! Simplicity ! you should be my lecturer lol

[@kristakingmath]

I'm glad I can at least help through the videos! :)

[@Cub994]

I love you!! you saved my life today!! :)

[@kristakingmath]

Awesome!! :D I love you too!! :D

[@chummyigbo8844]

Thank You again. Can I keep thanking as I appreciate???

[@kristakingmath]

chummy Igbo Of course, if it's something you'd like to do! I'm just happy to be able to help!

[@sherwinjp1997]

Thank you so much!

[@kristakingmath]

You're welcome!

[@thomasratliff9278]

Thank you.

[@kristakingmath]

you're welcome!

[@ccsvenezuela2006]

Good example, different from the one I saw in KA. Who's watching in 2^(10.978710459106357239869086999052)?

[@mncedisidylan3234]

EK IS BAEI DANKIE.........CLEAR

[@TheSnakeboy11]

Are you related to Sarah King by any chance?

[@kristakingmath]

Not that I'm aware of at least. :)

[@TheSnakeboy11]

Ah ok I just had a Calculus teacher named Sarah King as well, I guess Kings like math :)

[@volcomstone54]

I always try to watch your videos but i never understand them

[@turkishstig8489]

Theese are the easiest out there. Nobody will explain (3-1) =2 like she does.

[@nishikantgawade2404]

Then not to watch if you don't understand 😂😂

[@gracewalia8777]

you speak so lovely!

[@1234jackist]

love u ...

[@hamisiwenge1369]

I lov U

[@walbani]

Dear Krista: I`m from Colombia and I think that you are very nice or great as a calculus teacher, but . . your speaking is very very fast. So it's really hard to me following to you. Sorry about my English. I suposse even for an English speaker is difficult. Thanks a lot, any way. Congratulations.

[@kristakingmath]

Thanks for letting me know, Walbani, I really appreciate the feedback! I know sometimes I get speaking really fast... it's a bad habit, so I'll try to work on it and get better so that the videos are easier to understand. :)

[@walbani]

Moreover of Pretty nice. You are a very kind person. Thanks a lot of again.

[@RoseMarieMullins]

This is really cool.... You can change the speed of youtube videos! You can watch at .5x or .75x speed if they're going too fast! Or if you're watching something you just need a quick review of, speed it up to 1.5x.

[@walbani]

Hi Rose. Really I hear these videos because I want to learn to understand and listen to the native English speaker. So I study a subjects wich I dominate too. . . . But, I'd like to know why are you by here? Are you an sympathetic and intelligent nerd? My name is Wilfran.

[@fruckstuck]

you are beautiful

[@MrOrange41]

hey you're cute

[@kristakingmath]

That makes me happy. :D