Calculus: Why does integrating a function give area under its curve?

In this video I explain why integrating a function provides the area under a its curve

[rpr_here]

Dude, I've have yet to see an explanation as simple, concise and well done. So clear! Thanks!

[isaacwolford]

This is actually the best video I’ve found so far that explains it so simply and elegantly.

Good job! Will definitely recommend to anyone struggling with this proof.

[joshbolton]

Gotta love the squeeze theorem. Great video.

[a.m.s.]

I don't think I can express how much I am thankful for this 💫💫

[yosoy]

WOW!! I didn’t know that way of seeing that the area under a curve is just its antiderivative. I will save this video :) you saved me in an assignment and now YT is recommending yours videos (I am glad it does 👍🏻👍🏻)

[Amoki]

amazing man, never give up teaching please, you're doing great work!

[fhrwzhg]

Keep it up man. I can't help but remember the pilots whenever I hear your voice

[Emil_Jansson]

This is amazing! Thanks for the enlightenment.

[FundamSrijan]

I can now imagine integration and differentiation in my mind 🙏😭😭 you can understand the pain of not understanding calculus by teachers who just don't know how to explain things and youtube where videos are in another language ( I know enlish but of course, mother tongue is mother tongue ) Thank you so so much ❤️

[teebag]

Thanks! Now it all makes sense why this works! I love this way of thinking of it and this video is well worth watching for a better understanding.

[ernestogemperle]

keep doing this man, you're great!

[wltvrxx]

I understood the rectangle method but this method using the squeeze theorem just reinforces everything and makes it much more clear. Thanks!

[gautamrd]

This is the best explanation of connection b/w integration and area under a curve. God bless u sir. Wish u were my math teacher in college. I would have loved calculus instead of hating it

[danielhealy]

Thank you for this Video it’s the best explonation that I have seen so far

[sharonnoel]

A very eye opening video. Keep it up friend. God bless you❤

[Dantalion-hrve]

This is amazing, bro. Thank you soooo much. Your simple but elegant explanation makes me understand the relationship between integration and area under graph (In school, our teacher only taught that's how integration works without any explanation XD)

[xtbbimn]

It was literally awesome man. I was insanely looking for the answer to the question "why is integral of a function the area under it's curve?'' Finally got the
Thanks a lot brother...

[amirhusseinmontazeran]

Thank you for your worthy explanation!

[potatokiller]

Thank you this is exactly the type of answer I was looking for

[srbu]

Neat, precise and profound. Thank you so much ❤️❤️❤️