Calculus 3: Green's Theorem (21 of 21) More Examples 4

In this video I will use the Green's Theorem to evaluate the line integral bounded clock-wise by 2 half circles..

First video in the series can be seen at:

[tomctutor]

Thankyou for taking the time to go through all the various incarnations of Green's Th. I'm sure it will be a huge help to most undergraduate students.

[joselopezluque]

Thanks Mr van Biezen, I was struggling with Green's theorem, but not anymore thanks to you ^^

[parulkamboj]

Great teacher ! Highly thankful to you sir for your invaluable efforts.

[Thestdue]

Thank you for the videos. All of these have helped me tremendously!

[ernestbeckham]

Thank you professor. I learned lot of things from you. Thanks 💖💖💖

[Maidenas]

Very nice video, thank you very much, it helped me a lot ! One notice only...By the time we changed variables to polar coordinates then the Region will change. So i think it's wrong that you put R in the 2:00 part of the video! Am I right ?

[lswvcll]

Professor, , ,, If we solve the problem without using the Green Theorem, what is the overall curve? Is it <3sint, 3cost> for large circle curve parametrization + <sint, cost> for small circle? Or should I take it out because the curve is opposite? 😅

[vijaysriprabakaran]

That was very productive for me.
Thanks sir

[thechuggs]

I’m pretty sure you mastered the Feynman technique in teaching others!

[Ensign_Cthulhu]

But wait... when you sweep from 0 to pi radians, you are going WITH the direction of integration on the outer curve and AGAINST it on the inner curve. Or doesn't that make a difference for some reason? I thought this only worked on simple regions.

[tuhinasharma]

Sir you did it according to the semi circle.. That's why u took the limits 0 to pi... If the is for the circle... What would be the limits... Is it 0 to 2pi???

[khajrymariam]

Sir, I think there is a small mistake while applying limits of r to ( r^2/3). Isn't it 8/3?. Thank you so much for your lecture 🙂

[umitdev]

Nice series.You are a teaching expert.Do You have an any advice for signals and systems?or do You have a plan for signals and systems series?

[nabeehatahir]

when integrating that integral, don't we just write drd(theta)? why rdrd(theta)? i love your videos btw

[helzqkh]

I'm sure I saw him in Physics video, wow.

[vwwvwwwvwwwvwwvvwwvw]

I made it to the end! Thank you thank you!!! BTW, what accent is Mr. van Biezen speaking in?

[gordoteton]

shouldn't you first separate the region into 2 type III regions? That form of the green theorem is only proved for type III regions