Double Integrals

This Calculus 3 video explains how to evaluate double integrals and iterated integrals. Examples include changing the order of integration as well as integrating with u-substitution.

Angle Between Two Planes:

Distance Between Point and Plane:

Chain Rule - Partial Derivatives:

Implicit Partial Differentiation:

________________________________
Directional Derivatives:

Limits of Multivariable Functions:

Double Integrals:

Local Extrema & Critical Points:

Absolute Extrema - Max & Min:

________________________________
Lagrange Multipliers:

Triple Integrals:

2nd Order - Differential Equations:

Undetermined Coefficients:

Variation of Parameters:

________________________________
Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

[dngzluy]

i feel instantly safe when i discover that you have a video on something i'm studying, thank you!

[atharvadeshpande]

University Professors should genuinely be ashamed of how material is taught in a 2 hour lecture when there's channels explaining the same thing in 30 mins or less (and free!!). You're a lifesaver!

[ethanramage]

thanks for producing this quality content even when the audience is a lot smaller like for double integrals

[DRMath]

Good job explaining the topic. There are many students who are just struggling because they never learn the concept the right way. School system is not designed to help the students who takes little longer to understand the concept but we got people like you who make these videos and students can watch it anytime to understand the concept.
Peace ✌️!!

[alm]

Ive been relying on your videos to pass my classes this whole first year of college. Thanks for taking the time to make these videos and explain this stuff.

[MeshackNathan]

What would we engineering students ever do without you? Helped me a lot in my first year engineering and still helping me in my second year😊😊😊

[mohamedyaseenahmed]

I have an immense appreciation for the content of this channel. It's been carrying me through maths for the past 2 years every time I needed guidance. Not having lecturers/teachers makes it abit difficult to learn, but this channel always helpful. Thank you

[salemeng]

This guy is just like a hero that no one knows

[APtechandgaming]

You helped me clear entrance exams. Now you are helping in Engineering. How grateful I am😍

[udadni]

This is amazing! I was looking at my textbook reading on this subject for the week, and it does all the typical things calc textbooks do that make things hard to understand for no reason - building it up from the definition of a limit with Riemann sums, using obscure set theory notation for no good reason... then I come here and it INSTANTLY makes sense. Thank you so much!

[meghalbhansali]

If my profs had such a soothing voice, I would never miss a class!

[stackunderflow]

i'm donating so much to you once i get my degree ^_^
the real MVP

[elisemcintyre]

i'm only 3 months into my physics degree but this channel has helped so much already i cant even put into words how grateful i am omg

[RaselAhmed-htfr]

ones upon a time I was too much worried about math even I hated Math subject but since watching his tutorial now I so much love math ❤😍.

Thank you so much.

[georgesadler]

Professor Organic Chemistry Tutor, thank you for a great explanation of Double Integrals in Multivariable Calculus/Calculus Three. The Double Integrals in this video is simple to follow, however setting up Double Integrals and putting the limits on them is problematic. This is an error free video/lecture on YouTube TV with the Organic Chemistry Tutor.

[calebashby]

I took calc 1 and 2 but now I'm in stats and we're doing double integrals even though calc 3 isn't a prerequisite for the course. This video is a lifesaver

[themansans]

If you keep making Calc 3 Vids, that would be absolutely amazing. Thankfully these aren't too difficult. Lagrange Multipliers are my issue as of now

[KondwaniKasambala]

you really simplify things, you are helping us .good job🙏

[ahnaftahmidmahin]

Like I have never ever, like ever found any other teacher like him on the face of Planet Earth! He is a masterpiece and should get a Noble Peace Prize For Real!

[deoxyde]

A video focusing more on switching/choosing the order of integration would make a good review video. :)
Also, perhaps some harder examples with ranges bounded by lines, non-rectangular regions, etc.