Evaluating Definite Integrals Using Geometry

This calculus video tutorial explains how to evaluate definite integrals of linear functions, radical functions, and absolute value functions using geometry.

Basic Integration Problems:

Indefinite Integral:

Definite Integral:

Differential Equations:

_______________________________
Properties of Definite Integrals:

Rectilinear Motion Problems:

Sigma Notation - Calculus:

Riemann Sums - Area:

The Midpoint Rule:

________________________________
Finding Area - Limit Definition:

Definite Integrals - Geometry:

Fundamental Theorem - Part 1:

Fundamental Theorem - Part 2:

Net Change Theorem:

__________________________________
Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

Integration - Formula Sheet:

[drewwoods]

so, idk if youll even see this, or if it'll just get lost in the comments, but im gonna be honest. IDK who you are, and frankly have never watched a video of yours (or any video for that matter--math wise), but in a desperate attempt while trying to study for an Applied Calculus Test, i came across this video, and let me just say you made things so clear, and it helped me so much and took so much stress off me because i didnt know what the heck i was doing, and now i actually do, so thank you so much! definitely subscribing, and will come back when having trouble again!!!

[AD-mwmv]

why can't maths teacher be so clear? this is wonderful for an old learner, thank you.

[lillianlou]

so stressed for my upcoming calc test but ur videos have been helping me!

[lolnomnom]

Probably would be failing calc without your help since I'm really bad with the unit circle/area of a circle...Thank you so much

[gbemisolaibrahim]

Oh my god u r a genius.. U took me back to kindergarten!

[bluevelvets]

thank you so much sir.... you literally carried my senior year....

[rayyanalwaneen]

this helped a lot, especially the example with the piecewise function. Thanks a lot!

[georgesadler]

Professor Organic Chemistry Tutor, thank you for Evaluating Definite Integrals Using Geometry in Calculus One. The basic formulas are very important in all levels of Mathematics and Applied Science. This is an error free video/lecture on YouTube TV with the Organic Chemistry Tutor.

[sajidmushfique]

Sir ...you are a life saver....glad to have you...

[sidindian]

Sir You made this so simple calculating Area ..wrt to integration ..?? .. Even in India IIT / IIM or any tip institute do not teach us such simple & short cut feature ... sir .. YOU ARE GOD 🙂

[stardust]

Omg thank you sir! You really helped me a lot. Definitely subscribing!

[pamekamekamehah]

Thanks a lot 🙏 One question, isn't there any way to solve the last integral, does it have to depend on the graph?

[رحيمالطايع]

Thank you, I love your explanation and God help you

[umarfarooq]

Sir you are great ...Allah Almighty give you great reward

[You_should_have_said]

Your channel is really very amazing ❤️❤️❤️❤️❤️❤️

[Itz_jazz]

You are a lifesaver!!!! thank you so much!!!

[rainbowsmile]

may God give you so many blessings and i will donate money in the near future!

[Concordeagle]

I wonder if Leibnize or Newton figured this out when they invented calculus.. or maybe as a proof their method was correct (without using limits)

[anshdoshi]

why didn't you evaluate the circle question?

[NunzDanny]

The fact that 64 people watch this video daily is crazy