Multiple Integrals 17: Area of a Three-Petaled Rose

[@MrAcecom7]

I actually love the speed this guy was moving at. He was so concise it made learning this a pleasure. Great job and you helped a lot!!!

[@rajasaad9589]

Best explanation ever found about double integrals. Thanks!!

[@isaacorloff4312]

Why does a random dude who made a video on this 12 years ago teach this better than my professor

[@kakashi1992e]

thank you so much donny! I loved your explanation of the rose....was really helpful! ^__^

[@donylee]

Yup. Triple integrals. I know how to do them but didn't get the chance to make a video series on them. Hopefully in the future.

[@tevaligaru]

Ok,... :) Now these concepts are going to be embedded in my mind forever and ever !!

[@hole62]

Integrations are so awesome

[@donylee]

Nope, sorry. Haven't dwelled in that area and probably won't anytime soon. I'm considering taking on Linear Algebra as used in Quantum Mechanics next. Thanks for your interest.

[@lilzp9106]

how did you get pi over 12? Don't you need to integrate cosine to sine then since 6 times 3 over pi is 2 pi then sin(2pi) is 0.

[@Khizar_Ansari]

Great! Now I'm stuck at how (sin 3O)^2 equals (1-cos 6O)

[@donylee]

Optimization? This is not an optimization problem which I assume uses differentiation. Or you mean parameterization?

[@sebastianzx6r]

With these problems, if I were asked to find the area of one petal,couldn't I find the area of the entire rose,then divide by however many petals there are? Say for r = 2cos(5theta). This will have 5 petals since n=odd. So can't I integrate from 0 to 2pi,then divide by final answer by 5? For some reason it doesn't work when n=odd. But when n=even I can use that method.

[@Milchi7]

Thanks man! Im deeply grateful for your lessons, I was just desperately looking for some more :D I even learned more english here, cause i had to understand your fast speaking x) . Guess Im now ready for some more maths in the ETH =P

[@pedrobarbosaconstantino4683]

And arc lenght??

[@Jesusfleabop]

have you done anything on the uniqueness and existence, or exactness theorems?

[@InitialDAmine]

nice effort i guess......... Just to let you know you made a little mistake written on the board while drawing O -> Sin(O) you wrotte instead Sin(3O). I m not going to explane how do it in a more simple way because maybe you didn't see or you polar fonction study wasn't as profound .

[@BXRxSKS]

We meet again 240p

[@thehuhu]

my head just exploded. twice.

[@SalaiLawrence]

Yes....sir!!! u really make me dizzy....don't joke,OK!!? lolz

[@llendymanulat2659]

Thanks now I know the limits. hahahaha