Green's Theorem One Region (KristaKingMath)

[@AlejandroVidalesAller]

My teacher explain a lot of theory and proofs and I understand everything he is doing but then I look at the homework and I dont know how to do it! You are my new teacher :D

[@kristakingmath]

I'm glad I can help!

[@shersinghsaini8510]

I'm in a very fast-paced course of multivariable calculus (6 weeks), and I forget things as soon as I learn them. I completely forgot how to do path integrals and barely remember what they mean, but Green's Theorem will stay with be forever. It is so useful and easy

[@tichaonamarariromba4838]

Krista King the best

[@kristakingmath]

Glad I could help! :)

[@Benimadimyemek]

i'm filled with thankfulness, its brilliant

[@giovannifoulmouth7205]

i love the way you say Hi and Bye, so high pitched :)

[@isururandika1984]

im gonna show this to my lecturer...

[@amberleelittle]

I love you Krista!

[@amirreacts8219]

your a very good teacher keep up the good work and may the good bless you thank you very much

[@kristakingmath]

Thank you so much!

[@merthatayhocaoglu1668]

she is the best in ENG. MATH in the world

[@Luis-fj5tc]

Simple and helpfull! Thanks!

[@brian_mcnulty]

Why do the textbooks just totally fail at teaching students these things? I read the whole chapter and still had no idea what I was doing. One minute into this video and I have already found like 6 things I didn't get from the text.

[@nawabzadi678]

Calculate the Green's value for the functions F =5y and G = 10x3 for the region x=4.5 and y=2 from origin. How to calculate this and why the answer is zero?

[@peanutbutterjelly2188]

Thank you, Ma'am!

[@TheEzz09]

Why can't we integrate with respect to x then y? Actually, the formula in my textbook and on every website I've looked at says Green's Theorem is ∫ (over C) Pdx+Qdy = ∫ ∫ (over D) (∂Q/∂x - ∂P/∂y) dx dy. Are the dx and dy interchangeable as long as we change the limits of integration? Why did you integrate with respect to y then x?

[@rachitajitsaria1254]

It is interchangeable I believe. It depends on personal idiosyncrasies and on the question

[@yycmaths5320]

Good video!!

[@scientiaduemilaedue6459]

Thank you very much for these very helpful tutorials. I have a problem with Video n.67 (The previous one of this). It says Private Video. It is just me (missing age verification, youtube says) or is it a general problem? Thanks for any feedback.

[@kristakingmath]

It's not you, it just hasn't been published on KZbin yet. I publish things more slowly on KZbin than on my actual school, so that one's not available quite yet. Sorry about that!

[@scientiaduemilaedue6459]

Thanks for your prompt reply. I hold your udemy courses "become a calculus master" (great ones) but I didn't know you have an actual school. Best luck with it, your videos are good indeed.

[@bakothegreat]

What software do you use to make your videos? and do you have videos for Partial Differential Equation, Linear Alegbra, or Complex Analysis?

[@MrZurghamak]

Love this 😘😘😘

[@henokyared9968]

Do you have any videos on Stokes theorem, and Divergence?

[@kristakingmath]

not yet, sorry about that!

[@pakmath1103]

If f and g are differentiable functions of one variable, prove that integration over closed smooth curve C (f(x)dx+g(y)dy)=0 for every piecewise-smooth simple closed curve in D. Green's Theorem problem. plz send me its solution.

[@wahajsiddiqui9126]

Thank you.

[@zeeshanali2805]

I want to ask doubt as my semester exam is coming..so related to that how I would contact or may be ask my doubt..plzzz I really need good help otherwise I would not get passing grade

[@ryder2755]

Thanks dude!!!

[@ryder2755]

@Caleb Frank dude I said thanks for krista

[@engineerhere1061]

Love u so much

[@annalam8624]

Krista is so pretty :D

[@mohammedseeidmohammedseeid1215]

legend

[@harshlangeh9984]

Helpful

[@dinuteodora9526]

Hello, could you give me to me privately that video ? Thanks !

[@lonewolf9009]

brilliant

[@merthatayhocaoglu1668]

number one (Y)

[@TheBigBanggggg]

But what does the result of 0 tell us?

[@ravichandramandaloju228]

can you give me more examples on green's theorem

[@kristakingmath]

+Ravichandra Mandaloju I'll try to add more!

[@susanbenmark3890]

Linev

[@zeeshanali2805]

how u differentiate 2y into y^2

[@kristakingmath]

You're not taking the derivative of 2y to get y^2, you're taking the integral of 2y to get y^2. Integration and differentiation are exactly opposite processes.

[@susanbenmark3890]

d.A

[@susanbenmark3890]

🪄Au sega

[@drjoephd]

This seems counterintuituve to me. Your result is 0 meaning the area is 0. Clearly you can see there is a square so the area should be 4.

[@kristakingmath]

If you were looking for gross area, yes, but Green's theorem is giving you net area. Since there's an equal amount of area below the x-axis as above it, those two sections net to an area of 0. Obviously you wouldn't need Green's theorem to figure that out, but I just used an easy example to illustrate the process. :)

[@drjoephd]

I had a feeling that was the case since there is a net movement of 0 but wasn't intuitively obvious. I do enjoy your posts and your attention to detail in doing the solutions. You write down everything which is hte way to do it!

[@susanbenmark3890]

🪄AUTHENTICITY PC. Kg