❖ Calculating a Definite Integral Using Riemann Sums - Part 1 ❖

📚 Setting Up Definite Integrals with Riemann Sums: Step-by-Step Guide (Part 1) 🧮

In this video, I show you how to set up a definite integral using the method of Riemann sums. This is the foundational technique for finding areas beneath curves, and though it can be a bit tedious, it’s essential for understanding the concept behind integration.

🚀 What you’ll learn:

How to set up a definite integral using the Riemann Sum definition.

Detailed explanations of each step involved in creating the sum.

A historical perspective on why this method is fundamental to calculus.

In Part 2, I’ll actually compute the Riemann Sum to find the solution. While you may already know the faster, modern method to evaluate this integral, this tutorial focuses on the core concept and gives you a deep understanding of how integration was originally approached.

This video is perfect for anyone learning calculus, preparing for exams, or those interested in understanding the deeper fundamentals of integration. Don’t worry, I’ll also show you the quicker way to do this in future videos!

👍 Don’t forget to like, subscribe, and hit the notification bell for more math tutorials! 🔔✨

Watch now to master setting up definite integrals using Riemann sums and grasp the basics of integration!

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[patrickjmt]

Hi all! Please post comments, questions and anything else on your mind in the comment section! While I try to answer as many questions as I can, there are more questions than I can answer by myself so if you are someone who might be able to help, please do so! The community is so much better when everyone is involved and helping each other out. Our strength is our willingness to help each other!
Also please feel free to like or dislike the video. Your feedback is always appreciated so that hopefully I can make my future videos the best possible! Thanks and happy studies!

[rylflush]

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Math doesn't change every year bro

[patrickjmt]

Hi all! Wanna help a Youtube education OG? Please post comments, questions and anything else on your mind in the comment section! so, don’t forget to LIKE, THUMBS UP, and SUBSCRIBE! I’d appreciate it greatly as it helps me :)

[Kingmodder]

It is always very interesting to see people on Youtube who are a lot better than professors at universities, such as Patrick.

[JamieJamBottle]

I've literally spent the past 6 hours going through sources trying to understand the Riemann sum for my year 12 Maths assignment, calling up friends in uni and going through their text books, and this one simple video explained what I couldn't understand for 6 hours in 6 minutes. You, kind sir, are a life saver. Thank-you so much!!!

[robrick]

I remember watching this back in 09 when I was in school.
So glad this guy blew up.

[yanirabayardo]

You have been the biggest help in all my college math courses :)

[EuropeanSpaceAgency]

I can't believe that of all the videos about the Riemann sum on Youtube, or any mathematical problem, your videos always clear things up. Good job!

[patrickjmt]

if you want to see where the formulas come from watch the video about 'the definite integral - understanding the definition ' that is listed on the right.

[djvhixa]

After 12 years it is still helping many thanks alot

[LiveOutLoud]

you're my favorite math tutor on youtube, thank you thank you! Always very clear and helpful with your examples. YOU ROCK!

[TheBjamin]

Patrick, it is truly remarkable, how great of a teacher you are. Sometimes teachers are extremely smart, but can't sufficiently explain the material, but you are the best of those two worlds. I have been watching these videos since 8th grade when I didnt understand something in school, and these always cleared things up. you have really helped me throughout my high school math career, and you deserve a sincere thank you. keep up the good work.

[parmida]

How I wish you were my professor. You explain things like no one else and I understand everything so much better when I watch your videos. It's good to be smart but to be smart and be able to pass the material to someone else (what you do) is just wonderful!
Thank you for your videos and time!

[andreatandog]

I was 4 years old when this video was uploaded and I'm watching it now 🤣I think that this video was made for me🤣

[thKyuubi]

SUBSCRIBED!

I swear, I LOVE EVERYTHING about MATH EXCEPT FOR RIEMANN SUMS. Thank you for explaining gazillion times better than my instructor! I have a test next week and this is like the only lesson i am not getting until i saw your vids.

[AhmadAlghannam]

Thanks God to let me find this channel.

Peace upon you

[londiwemagwanyana]

funny how this video was published 5yrs ago but it's still valid and useful...thank u patrick for the awesome job!!!

[shananerd]

Thank you so so much! I cannt explain how grateful I am that you take the time to make these videos, and that they are free too! Nevermind the expensive online tutors or khan academy, who's videos are half an hour for one sub-subject. I've been watching your videos since I was a sophmore in calc 1, and a clueless one at that! No matter how many times I've been in for help from my teachers, none of them could explain these concepts as well as you have! You're a remarkable teacher, Thank you :)

[Madvillian]

Patrick, I once again want to say thank you for all your help. I got my younger brother watching your vids too

so keep makin em! :)

[ScottyPotty]

So i was studying for my Calc 2 miidterm and i realized i had no idea how to do this because i slept through lecture one day. It is currently 1 18 Am and my test is in 8 hours. I now know this so well. You are my savior!