Fundamental Theorem of Calculus Part 1

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Fundamental Theorem of Calculus Part 1 - Derivatives of Integrals.
In this video I show the FTC part 1 and show 4 examples involving derivatives of integrals.

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Patrick I hope you realize you single handedly get America to pass the AP calculus exam

jn

Seriously bro . I don't know about the rest of humanity, but I know for sure you are going to heaven after death.

You have at least helped thousands of students pass calculas across the globe

harismyname

13 years later and these videos are still impactful. Thank you

ryannajames

PatrickJMT, my textbook took 10 pages to explain this in a completely verbose & confusing manner & you did it within a few examples. Thanks a bunch like usual (:

iDarkTea

hey man, glad to help you.
if someone told me in calc 1 i would be a math major, i still would not have believed them.
this stuff is (obviously) very deep, and very very interesting i think. it is just all so useful in describing the world around us in some meaningful way. it blows my mind.

patrickjmt

Patrick. I've spent 4 and a half hours trying to learn this concept from my textbook. You taught it to me in 1/24th of that time. Thank you - Keep doing what you're doing man cuz it's helpful for so many peopl.

sball

This guy is like the bob ross of math. Good shit dude

Handobolo

If teachers/professors explained these topics like you, the world would be full of mathematicians. Thank you for making Calculus simple.

BSach

I never comment, Ever, but I just want to say this made this beyond easy to understand and helped me out a lot. Thanks man.

coolkid

Damn 15 years later and still the most succinct example on YT

mattlopez

My professor took an hour and 15 minutes to explain this concept and never blatantly stated the concept. Thank you SO much, this is so much simpler than it seems.

pandabear

This is the way a calculus lesson should be done. Calmly and clearly show the work and don't be afraid to show the (minor) mistakes in notation. There's something about an edited/polished math lesson that taxes my interest. Much like English, mathematics is a language that's taught by learning the letter 'A' first (its simplest component) -- and Patrick does a great job of showing that we're all fallible, yet capable of learning a step at a time. Great job, Patrick!

timberwrightsvs

patrickJMT, I dont think you understand how helpful you have been to me!
you literally have helped me through AP Calc in highschool and Calc in College. You are AMAZING!! You make everything understandable!

dalebennett

Wow man. Your videos are If i ever bump into patrick jmt in real life, im buying you a beer.

MrSVTcbra

This is literally saving my life right now. So simple it's hard. Exactly.

lindsaygarner

Wish my Calc professor was as good as you. You taught me in 10min what he couldn't in an hour

huichuanyang

Learned this yesterday, but I was a bit lost. U explained it perfectly in a few minutes. Bless you.

sbk

Even ten years after posting this, your explanation and examples still make the most sense.

MsCudlub

You my friend have just explain this so easily which I could not understand in my lecture notes. My exam is in 10 hours and this has just click in what I needed to know. Thank you!!!!

gideonnovero

yes, so long as the lower limit of integration is a constant, it does not get 'used' anywhere

patrickjmt

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