Calculus - Definite Integrals

This calculus video tutorial explains how to evaluate a definite integral. It also explains the difference between definite integrals and indefinite integrals.
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...
________________________________
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...
__________________________________
Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
/ collections
Integration - Formula Sheet:
bit.ly/3XCT6oz

[@TheOrganicChemistryTutor]

Integration - Formula Sheet: bit.ly/3XCT6oz
Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Videos and Worksheets: www.patreon.com/MathScienceTutor/collections
Next Video: th-cam.com/video/QcHz3h81U-s/w-d-xo.html

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He already uploaded about the same topic around 2 years before he uploaded this one??

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I need integral with indefinites and with e to some powers.struggling to get it.pleade help thanks.

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5:20. "So at this point , we just need to do the math"
I've been so confused as to what we had been doing from that time.

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difficult math

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I watched definite your integral videos which are released older and in the calculus play list today.

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I am just 14, and I am really passionate about math and physics, so, integrals seem to be not so complex. Well, at least definite integrals seem to be not so hard to understand.

[@untitled2006]

15 and in pre-calc, but my teacher is super wonky and is teaching us how to find derivatives. I want to stay a step ahead!

[@Rjalphaomega]

My teacher literally only taught us the properties, yet not how to find them and this is so much help, thank you so much

[@aliciamolina3839]

This is teaching us the fundamental theorem of calculus. Not the definite integral. The definite integral is about finding the area from taking the integral of a function.

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Area = 164 6:37
8x^4/4 + 3x^3/3 +6x^2/2
2x^4 +x^3 +3x^2
I end up with 216-52 =164

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It's correct too, I did that too

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I have my calc final this week, thanks for the help
I also noticed you made an error at 5:16 on the last problem
At F(b) you wrote 3(3)^1 instead of 3(3)^2
Calculating after fixing this error yields F(b) = 216
However you still get the same final answer which is 164 ((F(b) = 216) - ( F(a) = 52))
Your videos have helped me learn more math than I've ever learned and are part of the reason I'm going to pass Calculus so thank you so much

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[@darrenchang07]

I have a question, I often see dx written at the end of indefinite and definite integrals. What is it supposed to symbolize? I see that it’s also written in this example.

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It means "with respect to x"

[@DarkMatterr]

dx = with respect to x. You'll get the hang of what it means when you study the u substitution method.

[@aribawawistarayanottama343]

@@alonzos920 hey i want to ask a question...so basically, when do we need to use antiderivative and derivative....because in this video he uses antiderivative, why don't he just use derivative?

[@TheBozn]

@@aribawawistarayanottama343 basically he's just finding his target anti derivative( integral) from the function of x. Then algebra to find the values
If you want the derivative you derive it from the function instead of "antideriving" it
Edit: actually you can call the integral the anti derivative. Because its the opposite of differentation(deriving).

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