Introduction to Double Integrals in Polar Coordinates

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  • เผยแพร่เมื่อ 8 ม.ค. 2025

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  • @Cub994
    @Cub994 10 ปีที่แล้ว +30

    Dude you're literally saving me tonight!! Thanks for helping me as well as countless students in the world!!

    • @Mathispower4u
      @Mathispower4u  10 ปีที่แล้ว +8

      Thank you for your kind comment. Glad I could help.

  • @288merve
    @288merve 6 ปีที่แล้ว +1

    you r the best math teacher i have ever listened!! you really saved my GPA. please dont stop to share ur marvelllous videos.. thanks again :)

  • @prosperous_berri_x
    @prosperous_berri_x 4 ปีที่แล้ว +1

    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 😭

  • @ehsansahil7366
    @ehsansahil7366 4 ปีที่แล้ว +1

    this channel deserve Millions of Millions subscribers!

    • @Mathispower4u
      @Mathispower4u  4 ปีที่แล้ว

      Thank you for the comment. Please spread the word. :)

  • @hopemiladinovich1352
    @hopemiladinovich1352 10 ปีที่แล้ว

    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
    @TheKeyaShine 12 ปีที่แล้ว +1

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

  • @enewaz
    @enewaz 13 ปีที่แล้ว +1

    Great lecture. Needs more views!

  • @MuksEmmaN
    @MuksEmmaN 2 ปีที่แล้ว

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

  • @Tiani707
    @Tiani707 10 ปีที่แล้ว +1

    dude you're the best, thank you

    • @Mathispower4u
      @Mathispower4u  10 ปีที่แล้ว

      Thanks for watching! I'm glad I could help.

    • @Setofhornsandahalo
      @Setofhornsandahalo 9 ปีที่แล้ว

      Christiana Nogaliza damn you cute, hope you passed lol

  • @renebaquero5975
    @renebaquero5975 5 ปีที่แล้ว +4

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

    • @aladdinkayqubad1645
      @aladdinkayqubad1645 4 ปีที่แล้ว

      you are right; but that would be for cartesian coordinates; here we are using Polar coordinates.

    • @c.o2307
      @c.o2307 3 ปีที่แล้ว

      @@aladdinkayqubad1645 so how does it change?

    • @aladdinkayqubad1645
      @aladdinkayqubad1645 3 ปีที่แล้ว

      @@c.o2307 you can convert the coordinates bro!

  • @andrewbingham1859
    @andrewbingham1859 11 ปีที่แล้ว

    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.

    • @Mathispower4u
      @Mathispower4u  11 ปีที่แล้ว +1

      The first octant would be an 1/8 of a sphere, but as you can see from the 2nd trace provided is would be 1/4 of a circle to accumulate the volume or 1/4 of 2pi which is pi/2.

  • @Virtualmix
    @Virtualmix 13 ปีที่แล้ว

    Thanks bro, this is very clear and very useful.

  • @abdelrahmanhossam8937
    @abdelrahmanhossam8937 9 ปีที่แล้ว +1

    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 ) ?

  • @RedonHoxha
    @RedonHoxha 12 ปีที่แล้ว

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

  • @josmchavez
    @josmchavez 13 ปีที่แล้ว +1

    What program do you use to write on the screen?

  • @BANIYASAD
    @BANIYASAD 11 ปีที่แล้ว +1

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

    • @Mathispower4u
      @Mathispower4u  11 ปีที่แล้ว +1

      Notice that du = r dr, which contains the extra factor of r. As a result, I think everything is okay. Thanks for watching.

  • @xXFallenKinghtXx
    @xXFallenKinghtXx 10 ปีที่แล้ว +1

    thank you! It helped me understand more :D

  • @starboii5055
    @starboii5055 7 ปีที่แล้ว

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

    • @Mathispower4u
      @Mathispower4u  7 ปีที่แล้ว

      Because r^2 = x^2 + y^2 and the region of integration is x^2+y^2=1 -> r^2=1 -> r=1 and x^2+y^2=4 -> r^2=4 -> r=2.

  • @egementon
    @egementon 7 ปีที่แล้ว

    Good explanation

  • @ahmadandaleeb1781
    @ahmadandaleeb1781 9 ปีที่แล้ว

    keep up the good work!

  • @20hours50
    @20hours50 9 หลายเดือนก่อน

    Good Content

  • @WOTNeedForSpeed
    @WOTNeedForSpeed 12 ปีที่แล้ว

    Bless your soul

  • @marit903
    @marit903 4 ปีที่แล้ว

    Really nice thank you!

  • @license2Bort
    @license2Bort 10 ปีที่แล้ว

    thanks a lot man. really helped

  • @amiralidorodian1932
    @amiralidorodian1932 6 หลายเดือนก่อน

    thank you so much man

  • @lahsenachaou4479
    @lahsenachaou4479 5 ปีที่แล้ว

    We alwayse use x=rcost and y=rsint

  • @mariamA240
    @mariamA240 12 ปีที่แล้ว

    ur awesome !!!!! thank you

  • @joemahoney9381
    @joemahoney9381 8 ปีที่แล้ว

    good shit bruh

  • @kungman190
    @kungman190 13 ปีที่แล้ว +1

    u need to slow a bit mate

  • @romelelectronics
    @romelelectronics 7 ปีที่แล้ว

    love u