Introduction to Double Integrals in Polar Coordinates

This video introduces double integrals in polar form and provides two examples of converting a double integral given in rectangular form to polar form.

[Cub]

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[ehsansahil]

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[merve]

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[prosperous_berri_x]

Thank you so much I was gonna cry in math class today cuz I had no idea what was going on. You my friend are a LIFE SAVER 😭

[hopemiladinovich]

Thanks for explaining where different formulas come from, as well as going at a fairly quick pace through the videos. That way if you get it its not to drawn out, but if you don't, all you have to do is pause it for a second : ) I love your videos!

[TheKeyaShine]

very detailed, and helpful! Also appreciate the quotations at the end of your lectures!

[renebaquero]

Is it just me or did he use the first quadrant instead of octant in the second example?

[MuksEmmaN]

Thank you so much sir watched so much videos only yours made sense

[abdelrahmanhossam]

please i need a quick answer i have a final after few hours in the second examples its stated in the question above xy plane so d0 must be from 0 to pi/4 is that right ? taking into consideration the (+ve x and +y plane ) ?

[andrewbingham]

Regarding Example 2, An octant is an eighth of the circle, so we should be using the outer limit as 0 to pi/4. Whereas, in the question, it is given as a quarter of the circle and so the limit from 0 to pi/2 is wrong.

[josmchavez]

What program do you use to write on the screen?

[Virtualmix]

Thanks bro, this is very clear and very useful.

[BANIYASAD]

Note :
In the second example, I think you forgot to include the addtional " r " that comes along with ( r dr d theta )  

[starboii]

When you let u = 9-r^2, shouldn't the bounds for r changes as well?

[RedonHoxha]

At the first example is saying "above xy plane" so theta limits should be from 0 to PI

[xXFallenKinghtXx]

thank you! It helped me understand more :D