What Is an Integral?

A Riemann sum is introduced as a way to estimate the area between a function and the x axis over an interval and then used to define a definite integral. The concept of net area is introduced, and the fundamental theorem of calculus is introduced as a way to evaluate indefinite integrals by treating integration and differentiation as inverses of each other.

[julialucas]

Educators HATE him! Man explains half of calculus in <10 minutes

[TheAkshatJ]

If these integrals were explained like this to us in schools, we would have learnt mathematics as a philosophy. Excellent explanation. Thanks.

[Thulgon]

This is as clear an explanation as it gets.

[fatihaksu]

This video is too much for YouTube. Some people teach these things $80 per hour

[JohnNettles]

I watch A LOT of math videos on youtube and this is really some of the best material I've seen.

[thesage]

how the hell did this guy breakdown the fundamentals of integration so elegantly, simply and beautifully ???

[samiig]

Getting straight to the point! I love it! Definitely need more views.

[mrpedrobraga]

Brilliant. The way you approach the concepts without throwing symbols at our face but still being clear and treating the viewers as not dumb.

10/10

[_DBO]

This is one of the best videos explaining math I've ever seen. Please don't ever stop producing these. You're a god send.

[jaredbrown]

This is the best, most concise explanation I’ve ever seen on integrals. Bless your soul for sharing this for free.

[zahialsalman]

Why the hell aren't there more views?

[warasranleh]

Wow, I'm honestly blown away I've been trying to get a more satisfying understanding of integration... and this is it

[justastream]

Amazing ! So well explained that it feels like you wrote this in my brain directly without going through my eyes/ears. Thank you so much !!

[beatriz]

This video just blew me away! I've tried to grasp the concept behind integrals for 2 months, and this is the first video i came across that really cleared my mind

[thokling]

What an elegant description. This clears up some mysteries for this particular layman. Well done.

[mireia]

this made it so clear what integrals stand for. Thank you!

[jaabirahamedsaleem]

This video was worth half of my college semester. Thank you so much for the great explanation! Please make more videos on this topic!😃

[duyvo]

Marvellous! I've been staring at my school material for quite some time and still I can't grasp the idea of integral until I saw your video. It took me only 7 minutes and I understand much, much better. Thank you so much for your work!

[msgordito]

Beautiful, I was looking for something like that and you just did it perfect. Thank you, you have excellent videos.

[anabarata]

II'm in the 8th grade and I wanted to get a little ahead of the concepts of my classes.
This video was ideal for understanding the integrals.