Calculating Double Integrals over General Regions

Calculating Double Integrals over General Regions - Two complete examples are shown. For more free math videos, visit http://PatrickJMT.com

Category:

Education

Tags:

• Calculating
• Double
• Integrals
• over
• General
• Regions
• math
• calculus
• integration
• integral
• limits
• substitution
• antiderivative

[Tkdkid9]

@patrickjmt ... I got 3/10 for the solution of the final integral (also confirmed by wolfram alpha)

[patrickJMT]

@Tkdkid9 ok! many of the comments point out the mistake i do believe

[TokeItUpTyler]

this makes me realize how hard teachers make everything in class..

[patrickJMT]

@TokeItUpTyler i wonder if that is what my students use to say about me... my guess is: yes.

[TokeItUpTyler]

@patrickJMT I feel like sometimes they dont explain it straight-forward so that the students can, in a way, figure it out themselves.. and therefore have a more thorough understanding of "why" rather than understand that something is what it is "just because". I should have said some teachers instead of teachers in general because some explain things the easy way, and some don't

[patrickJMT]

@TokeItUpTyler well, tell that to the person in one of the other videos that was bitching cause i derived something. his comment: this is a useless waste of time, we can just memorize the formula. who cares about deriving?

and i think most teachers do try to explain things the best they can. often times students do not ask questions so the teacher is left to guess whether or not they are getting through.

[MrKyte12]

can I subscribe twice? :) your video are so amazing.. there is nothing I can say but thank you so much.. Thank you for helping us..

[DanGloshin]

3/10 is the correct answer. I went through this exercise and found a mistake which occurs when you go from (y^2/2) to (x^4/4) by plugging y=x^2 into the first one, actually - as you can see - it should be (x^4/2).

But I am very thankful to you for all the videos you've shot regarding maths. They do help a lot and are much more understandable than quick and superficial explanations of a lecturer.

[Waqasgju]

Thank you for helping us..

[mastersgta1]

Now I've got weeks of material all making sense because of your first three minutes. Thank you!

[notfromlongbeach]

@TokeItUpTyler Teachers also don't draw pictures, this hurts a ton of students who learn graphically

[Avirajjaulim]

@patrickJMT Thanks Mate !I guess these people are just not willing to admit taht this was actually one of the best lectures about double integrals over general regions (:

[trudal987]

Hot damn patty, youve done it again! Teach me in 5 minutes what my prof couldnt teach in 5 hours. Like a boss.

[MinhieMinh]

You are seriously the greatest person on the face of this planet.

[hellasanjose]

Thanks!Awesome vid Patrick! Can you do a bit more challenging examples? Well thanks again!

[XRitaX]

I had a conversation about you in school today. Everyone seems to love you. lol

[odoc01]

@starter3200 Thanks so much! Makes sense now :) Cheers!

[starter3200]

@odoc01 He didn't have to plug it back into the original variable because by changing the limits he changed the integral. If he had kept the same limits then he would have had to switch the variable back. Good luck on your midterm!