Finding The Area Under The Curve Using Definite Integrals - Calculus

This calculus video tutorial explains how to find the area under the curve using definite integrals in terms of x and y.

U-Substitution - Indefinite Integrals:

1st Order Differential Equations:

Initial Value Problem:

Area Between Two Curves:

_________________________________
Disk and Washer Method:

Volume By The Shell Method:

Volume By Cross Sections:

Arc Length Calculus Problems:

Surface Area of Revolution:

_________________________________
Work Problems - Calculus:

Integration By Parts:

Trigonometric Integrals:

Trigonometric Substitution:

Integration By Partial Fractions:

__________________________________
Calculus Final Exam and Video Playlists:

Full-Length Videos and Worksheets:

[usernametaken]

You really are the one person I know who can call himself a tutor. You're the best teacher I've ever had.

[Just_Some_Guy_with_an_Eyepatch]

I haven't watched this video, as it's beyond where I'm at lol. I'm currently studying GED math. But I just wanted to come to your latest video so I can tell you how amazing you are as a teacher / tutor. I have scoured the internet (including YouTube) and have watched many videos. Yours are BY FAR, the most informative and educating that I have found. Your explanations are concise but sensible, and easy for new students to understand. The way you teach math is always the most efficient way to find the answer, while other teachers will make things overly convoluted for newer students. And you provide what I think is the most important thing, that is plenty of examples and practice problems. Thank you so much for providing free access to your content. Truly appreciate you. <3

[darwin-hd]

Hey just want to say thanks for all the work you put into this channel I passed my ged math test today and your channel really helped me to understand the most complex problems. You’re really good at explaining complicated problems. Thanks

[VernitaSimpson-fcvv]

This is a must-watch for students looking to conquer calculus challenges. The video's straightforward approach and practical examples demystify the process, making it easier for anyone to understand and apply definite integrals in finding the area under a curve.

[LouejaY]

Thank you Organic Chemist. You've been my saviour when I was reviewing for LET. And now, I passed. You really created a great impact on me. Thank you for making Math questions easy to understand.🙏😭

[Harry-vcfj]

Your channel has turned my life around solely due to the fact i now watch math videos for fun (somehow). You are an angel

[mattlopez]

Just wanted to let you know you've been tutoring me through college!

I love you papi chulo

[johndumaguing]

oh my god sir i don't know what i'm gonna do as an engineering student if you didn't exist in my life. you've helped me a lot through my calculus journey tommorow's my calculus 2 exam i feel confident and hopefully ill pass this semester.

[ihavenopityforthemajority]

Perfect timing, im learning this in class rn

[georgesadler]

Professor Organic Chemistry Tutor, thank you for an exceptional video/lecture on Finding the Area Under a Curve using Definite Integrals in Calculus Two. From the video, the best way to find the Area under a Curve is to graph the function(s) and then calculate the required Area. Thanks to the viewers for finding and correcting the errors in this video.

[nessap]

Thanks bro🙏🏽. Finals r tmr. Wish me luck

[fishtankbozo]

thank you for carrying my math youre THE GOAT when i get out to work ill donate my first paycheck ($15) to you. I AM INDEBTED TO YOU JUST KNOW EACH TIME YOU GO TO SLEEP SOMEONE OWES THEIR ENTIRE GPA TO YOU

[NoraAbdullah-]

in our book they are crazily crazy u teaches me how to solve this that can take me 5 minutes at least to the possibility to solve it in less than a minute and all that I learned in just 5 minutes huge big Ty truly

[eranga]

Hey just want to say thanks for all the work you put into this channel

[mr_offwall]

taking calc 2 and I desperately need a refresher and your saving my life

[nivhana]

I was devastated thinking I couldn't do math, then I watched your videos and I solved the problems super fast during the calculus class. Thank you very much. You are a god fr.😍

[GabrielaReyes-br]

my calculus professor said that if the if the shaded area is under the x-axis, it contributes negatively to the integral so then for 11:26 the area would be 0 but you are saying this isn't the case? why?

[taylor-]

I think this channel might be one of the reasons I went from hating maths to loving it. Thank you

[nicolelee]

thank you for saving my gpa you’re my favourite organic man I OWE IT ALL TO YOU, WHEN I GET MY FIRST REPORT BOOK PLS COME FOR A MEET AND GREET AND SIGN IT

[austinlarange]

You came in clutch i needed this topic today. Thank you