Converting double integrals to polar coordinates (KristaKingMath)
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- Опубліковано 4 жов 2024
- ► My Multiple Integrals course: www.kristaking...
Learn how to convert double integrals from cartesian coordinates to polar coordinates.
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If you could use some extra help with your math class, then check out Krista’s website // www.kristakingm...
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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student-from basic middle school classes to advanced college calculus-figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: www.kristakingm...
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I like how you don't skip any steps. I learn really well because of that! THANKS AGAIN!
Can you please specify why dx.dy gets replaced by rdrd(theta) ?
@@AGNIVO-kf2bl dude, it's easy, not even worth mentioning, just do as they say and don't think too much))
I have my year-end exam in 2 days and i've been trying to understand this thing for the last 2 months(i am very weak at calculus)! i am so happy that i reached this place and was able to learn this thing in just 12 minutes! thank you so much,you've just increased my hopes of saving the semester! :)
vatsalya singh I'm so glad to hear that! Good luck on your exam, I hope it goes great!
:)
That’s literally one of the problems I have on my homework. 😂
Wow you have solved it and nailed bro😎😎
yooooo same 3 years later
@@mariorafaelbritopavon456 yooooo same 4 weeks later xD
@@bilalrahim2076 same lol It's in the stewarts manual which is used worldwide sooo.... Makes sense !
X2
Great video, very clear instructions!
I like that every single step gets explained, even those well known little ones, so you can't overlook anything.
Your explanation is clear, thorough and succinct. I've never seen that before for math videos. Please post more videos.
I understood each and every concept behind the question. Thank you ma'am to explain with such a great method of teaching. 😀😀😀
thanks, this helped. My Calc 2 prof last year skipped polar coordinates altogether so now I'm figuring this out on my own
best teacher who saved my semester :)
legit tho
Good maths steps am really behind on how to find the boundary region and on how to get the limits of a double integration needs your help
How am i just discovering this channel???????????? You're the BEST. Thanks!!!
OH MY GAW... KRISTA... THANK YOU. I WAS STUCK ON THIS FOR SO LONG BEFORE I STUMBLED UPON YOUR VIDEO!!!
:D
i love you really .. math without you like coffee without sugar .. :) thanks and keep going
I know this is years after you made this video, but thank you so much! You are a life-saver!!!
You're welcome, Spark, I'm so glad I was able to help! :D
If using the u substitution don't we have to change our interval? So in our case we would have to put our intervals (0,2) into u and we would get a new interval (0,4) with which we continue to calculate.
You’re the best calc explainer yet
You are really amazing. Thanks for providing free lectures.
My pleasure, Dawlad! I'm happy I'm able to help! :D
This is so much better than the way my teacher explained it, or at least tried to.... Thanks!
You're welcome, glad it helped!
I seriously appreciate all of your videos. Thank you. :)
You're welcome!
Pete Dietl me too
Can't live without Krista during coronavirus thank u so much
You're welcome, Chen! Hope you and your family are safe and healthy! :)
Great video!! One thing I noticed though: when you u-substitute for r^2, you didn't find new bounds of integration in terms of u and therefore wrote a false statement by leaving the bounds in terms of r. You rectified your mistake in the next line but my calculus professor will mark points off for that on an exam and I am hyper-vigilant of that mistake. He said to, in the least, leave it as an indefinite integral until you back-substitute for u.
I noticed that too.
Derrek Schmitz , you are right after substitution, we have to make changes in limits according to the substitution.
Yes. The dud(theta) upper integral limits(just above the centre of the screen view) of the right integral sign should be 4. Krista corrects it on the next line when she goes back to using 'r' and using 2 for the upper integral.
Now hopefully this will help solving an integral equation using the angle 'theta' to get a 2d solution of a second order random field. We will see....
I've always re-subbed the U value back in and then evaluated for the variable in this case r. it works both ways.
Yea..
yes, this is usually calc 3 stuff. :)
Krista is the Queen of Math!
Thank you mam it is very easy to learn from your videos rather than from class
You're welcome!
Nobody, I mean nobody explains calculus better than you do. Ignore those thumb down those are people who can't explain closer to what you do. We appreciate you. Thanks
Excellent video. 5 *'s. You really helped me understand integration where you've to convert co-ordinates from Cartesian -> Polar. Thank you so much. The folks crying about the limits being 4 rather than 2, cause u=r^2 may be correct, but they're just being pedantic imo. You still got the right answer!
This is the best explanation. You explain the concept clearly. Thank you so much
You are literally my favorite. All your videos are really clear and I actually learn :)
i have learned a lot from you. thank you so much for sharing this lecture!
I can only concluded that you're better than my further calculus lecturer!! Thanks for your detailed explanation!!
you're welcome, i'm so glad it helped!!
I am no longer lost, thank you so much!!
Glad it could help!
Your tutorial is still live here, thanks for the wonderful explanation you got my finger
You did a great job explaining double integrals to polar coordinates in this video. I went from having very little knowledge in this subject to being able to solve problems.
Thanks so much!
+Carl Ellis So glad I could help!
just great. i watched a lot of video on this topic but this one just made my whole concept clear. thank u so much.
Thanks for this. My book has iterated integrals in polar, cylindrical and spherical coordinates all packed into one chapter and so the author just glances over all three. So yea, thanks again, and thanks for being so thorough. You saved me a lot of headache and frustration.
+Rachel Nanshija Thanks for the comment. Glad I could help!
Thanks! I'm a big fan of your teaching style.
Been watching your vids for a year now, they are always so clear, thanks so much dear :)
inteusproductions You're welcome, glad they've been helping!
Thanks! you have no idea how much trouble i had to understand this before.
You're welcome! I'm so glad it helped!
seriously you're like khanacademy 2.0, thank you for the videos you're a life saver.
I'm glad they're helping! :)
SERIOUSLY. You have been leading me to the promise land this semester, thank you so much.
Great timing! :)
so so so happy i found this!!! LIFE SAVING
+Cesar Solorzano I'm so glad it could help!
Your explanations are really clear and your though process/method is beautiful... Thank you…
Mthabisi Bokete You're welcome, I'm glad you like the videos!
i always get stuck while solving this problem, but i had almost mastered it. Once again THANK YOU very much.
She’s the best teacher ever
lovely explanation!
id look at other videos and go "wait but where did you.. but how did you.. where did that.. "
you don't get that here! :D
+greenlizardballs It makes me so happy to hear that! :D
You explain things much more succinctly than any of my past teachers/lecturers :)
Thank you very much!
What a coincidence! I was stuck at this problem when I decided to check your video for help.
Wow read some stuff about this on some other sites and understood nothing then I watched this 13 min long video and now understand everything THANKS!
Love that! I'm so glad it could help! :D
Great video ! Thanx for taking the time out for this. :)
Thank you very much for this beautiful explanation! It's helped me a ton in understanding double integrals!!! 😍
Glad it was helpful, Ishaan!
Just a few hours before my exam, you are a life saver🙏
I hope the exam went great! :D
Oh thank you! You saved my time and life. I am grateful to you
this video was too helpful for me thank you for publishing this video
+Vignesh Adithyan Glad I could help!
probably the best video out there of explaining this example!!!
Thanks! :)
The best explanation I’ve seen so far. Superb! Wish you were my lecturer
I'm so glad you liked the video! :D
Ohhhh, the good ole multi calc days. Probably the best calculus there is!!!
Wonderful explanation, thanks!
last semester i missed a lot of calculus classes but with the help of your vids together with other guys vids on youtube i passed my calculus exam as though it was some kind of test on general knowledge.Now look at me, i am missing classes again this semester :p
LOL, well I'm so glad the videos helped!!
You are simply the best! Thank you!
thanks it was very helpful.actually i saw only one video and could solve the rest. ur explanations are too good .well thanks again.
Thanks. I've been trying to understand Maxwell's equations and the vids on double integrals has been helpful
Good i have my doubts in multiple integral but after watching this video i clear my all confusion thank you and watching from nepal
I'm so glad the video helped, Sumit! :)
Glad I could help! :)
Very clear explanation. Thanks
You're welcome, I'm glad it made sense! :)
You make it look so easy!!! Thank you so much for your videos!!!!
super clear. easy to understand every step. thanks.
thank you so much you're such a great teacher
Excellent explanation! Really thankful for the clear example.
Thanks! I'm glad it could help!
this video made concepts more clear..
+Apramey Poojar Great! I'm so glad it helped!
Thank you maam...U did really saved me with the lesson. ....
Explained very well
You're welcome, mohammed! I'm happy to help! :)
Thanks a lot !! Made this much clearer !
These videos got me through university! Thank you so much
Much better than my teacher! Thanks soo so much!
Excellent, saved me so much time for my exam studying !
I hope you rock the exam! :D
Great video! Thank you so much krista!
+Praful Kamdar You're welcome, Praful!
this entire thing helped me a lot...
Thanks a bunch Krista for such awesome an explanation. Really helps, especially in evaluating the limits, a point where I am always confused...
You're welcome, Farrukh! I'm so glad it helped! :D
wish me luck for my exam tomorrow. my lecturer taught this for 2 weeks but i understand your 12 minutes video better. thanks
I'm so glad the video helped, and I hope the exam went great! :D
you only have to change limits of integration if you don't back-substitute. since i eventually changed my u's back to r's, i can still use the limits of integration with respect to r. :)
You're the only reason I passed my class.
I'm honored, and I'm so glad you passed! :D
this video makes me want to burn my calculus book
This video helped me so much. Thank you so much!!!!!!!
You're welcome! Glad it could help!
very well explained madam..calculus with your sweet voice..its like icing on cake..;-)
+Amit Kumar Thank you very much!
you made it look very easy . Thanks alot , it helped . 🙏
Glad it could help!
Great video! I was absent in class due to sickness when this was taught and so I had a difficult time catching up. But this really helped a lot. Thank you! You just gained one more subscriber :D
Thank you big sister , my doubts were regarding ,that how to take theta, which is cleared in one example , thank you for your help🙏🙏
Wow, that was immensely thorough. Thank you!
You're welcome!
Hey thanks mam for giving me a such good explanation on this topic it really helps me for understanding this topic well
Oh good! I'm so glad it helped!
Nice and clear explanation!
Thanks!
That was awesome, Thanks! Helped me understand stuff for my exam :)
So glad I could help! :D
7 years ago when i was in 6th grade, this video was uploaded i had no clue what calculus meant.
fast forward 7 years , still i have no clue and thats why iam here . thanks for uploading this video.
Lol, you bet! I just hope the video helped! :D
thank you, very clear and plausible!
really I just understood everything .... final day before my exams
+maria robson I'm so glad it's making sense now, good luck on your exams!
same here XD
Awesome video, right on the topic I needed to review!
very clear and helpful! thanks
Awesome! Thanks for letting me know. :)
This video was very, very detailed &I understood every step thank you !:)
Josue Gomez You're welcome, I'm so glad it made sense!
You are the absolute best. You and Sal and JustMathTutoring are the best UA-cam teachers. Thank you guys, you are appreciated!
Aw, thanks! That's great company you listed me with... I'm so glad I can help! :)
For the angle in this question is from 0 to π\ 2 because it says the area is confined between the function x and y axis
Thanks so much Christa!
Your video's are really helpful.
Great! I'm so glad they help!
I enjoyed every moment when she said Theta ❤️❤️
My prof gave these problems for hw without actually going over them in class. You save my life. As if school is life.>.> Nope .......but thanks a lot.
+saad anwar So glad I could help!