Applications of Integration (KristaKingMath)

In this calculus overview video you'll learn about four very common applications of integration: average value, area between curves, arc length and surface area of revolution.

These applications of integration are the four most commonly taught, but they're also the most abstract. I'll show you what it really means to find the average value of a function, explain how to find the area between two curves, show you what arc length is really representing, and describe how surface area of revolution is really just an application of arc length.

We'll also talk about how each of these applications can be applied to the real world, so that you can actually understand why it would ever be helpful to learn this stuff in the first place!

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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?!”

[alexander]

I recomend calculus with Krista for those students who want to excel in calculus. She is really "figuring it out "  She figured it. BCCLS Fort Lee NJ.

[chriscon]

You are an amazing teacher and seem incredibly bright, all your videos are well laid out and very helpful. Thank you so much for doing these videos, they all shed a little light on why Calculus is very important to learn and know. They have motivated me and aided me through my classes. Thank you again and all the best to you in the future!

[GHXL]

I am studying absolute value. What question is: What could we do something we could not do in the past with the invention of absolute value?

[harryyoumans]

You have the unique ability to translate math to English and vice- versa. Thanks for the translation !

[mrcfmoftheworld]

انت رائعة و جهودك مقدرة جدا

You rock and your efforts are highly appreciated and valued

[jayraldbasan]

Lady, you are AMAZING! This is how math should be learned and taught.

[indian_scouser_ynwa]

motivates me to do calculus.thanx mam.

[radandyfantoo]

Thanks! That makes a lot of sense! One question, though. I don't know if there is one, but do you know if there's a way to precisely determine the functions that would represent the curves of real world objects?

[bananasplitter]

tantarantana! calculus with krysta! hahhah nice intro

[matefekete]

Gosh! This video changed my life! Thanks a lot!

[ThePinoyMamba]

Thanks Krista.
You always rock Math!

[henrystrydom]

Christa I love your theme song, just awesome!!!

[nathanelliott]

Your videos are awesome! They are explained so well! And also they are not boring either, they are entertaining to watch!

[Rayquesto]

I always thought the surface area formula was strange. I always thought of it as summing up a bunch of circumferences. Made much better sense to me.

[kristakingmath]

you're welcome, and i'm so happy for you!! congrats on being done... that's the best feeling!! :D

[maheshkumar]

Your videos are very knowledgeable, thank you for uploading

[vernsalgorithm]

done with math forever. whew. thanks for helping me ace cal 2.

[abhideshmukh]

Sis krista....ur going amazing....i love maths n now im getiing deep knowledge about it....from ur Chanel 😊😊👍👍💐💐

[Zeppelinpuppy]

Ok great but what happens when you DON'T know the function that defines for instance the perimeter of the irregular field at 4:35, what do you do then? Anyone? How do you learn to build the functions from real world data? And shouldn't that come first before learning how to take derivatives and so on? I mean if you don't know the function you need to integrate it seems to me like you'd hit a dead end then

[ryandconan]

I cant focus on what you presented, your voice is too beautiful.