Converting double integrals to polar coordinates (KristaKingMath)

Learn how to convert double integrals from cartesian coordinates to polar coordinates.

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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?!”

[amardubb]

I like how you don't skip any steps. I learn really well because of that! THANKS AGAIN!

[My_NameJeff]

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! :)

[drewsteps]

Your explanation is clear, thorough and succinct. I've never seen that before for math videos. Please post more videos.

[HackingDutchman]

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.

[mrunalshah]

I understood each and every concept behind the question. Thank you ma'am to explain with such a great method of teaching. 😀😀😀

[r.f]

thanks, this helped. My Calc 2 prof last year skipped polar coordinates altogether so now I'm figuring this out on my own

[marcibelasky]

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.

[militantpacifist]

That’s literally one of the problems I have on my homework. 😂

[moinaction]

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

[shane]

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!

[superdupe]

this video makes me want to burn my calculus book

[assassinjohn]

best teacher who saved my semester :) <3

[abeekuampah]

How am i just discovering this You're the BEST. Thanks!!!

[staydank]

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.

[caelawnn]

OH MY GAW... KRISTA... THANK YOU. I WAS STUCK ON THIS FOR SO LONG BEFORE I STUMBLED UPON YOUR VIDEO!!!

[greenlizardballs]

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

[NikhilKumar-slep]

i have learned a lot from you. thank you so much for sharing this lecture!

[electronicwoe]

I seriously appreciate all of your videos. Thank you. :)

[rachelnanshija]

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.

[carlellis]

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!