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.
Antiderivatives: • Antiderivatives
Basic Integration Problems:
• Basic Integration Prob...
Indefinite Integral:
• Indefinite Integral
Definite Integral:
• Definite Integral
Differential Equations:
• Finding Particular Sol...
_______________________________
Properties of Definite Integrals:
• Properties of Definite...
Rectilinear Motion Problems:
• Rectilinear Motion Pro...
Sigma Notation - Calculus:
• Summation Formulas and...
Riemann Sums - Area:
• Riemann Sums - Left En...
The Midpoint Rule:
• Midpoint Rule & Rieman...
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Finding Area - Limit Definition:
• Finding The Area Using...
Definite Integrals - Geometry:
• Evaluating Definite In...
Fundamental Theorem - Part 1:
• Fundamental Theorem of...
Fundamental Theorem - Part 2:
• Fundamental Theorem of...
Net Change Theorem:
• Net Change Theorem - C...
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Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
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Integration - Formula Sheet:
bit.ly/3XCT6oz

[@TheOrganicChemistryTutor]

Integration - Formula Sheet: bit.ly/3XCT6oz
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why can't maths teacher be so clear? this is wonderful for an old learner, thank you.

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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

[@rayyanalwaneen6]

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

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

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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 TH-cam TV with the Organic Chemistry Tutor.

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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 🙂

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

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Jesus Christ* 🙏

[@pamekamekamehah]

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

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wow great video!!!!

[@صلعلىرسولالله-ر6غ]

Very Good it is Nice
Thank you

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You are amazing, thanks

[@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)

[@mikebalbes6631]

yes i think, calculus is technically analytical geometry

[@skinnybonesjonestheallseei74]

But limits are cool

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Thanks man

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Cool, thanks!

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The fact that 64 people watch this video daily is crazy

[@anshdoshi7685]

why didn't you evaluate the circle question?

[@noluthandongwenya8759]

I am also confused

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[@joshjoshi6856]

How did u get 8 in 2nd example?

[@nightbot.2341]

I did geometry and got 6

[@ggripen]

I think he calculated it wrong? 10-(3/2)-2 = 13/2. Which is 6.5.

[@phanthanhchung7273]

He is correct actually, notice the minus sign in front of the square brackets, it is distributable.

[@phanthanhchung7273]

So 8 is not wrong

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you're so quiet