Calculus 3: Double Integrals Over General Regions (Video #20) | Math with Professor V

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  • čas přidán 5. 08. 2024
  • Computing double integrals over general regions in the xy-plane. Determining the appropriate order and limits of integration. Sketching the solid whose volume is represented by a given integral. Reversing the order of integration in order to be able to evaluate the integral. Properties of the double integral over a general region, and an example bounding the value of a double integral. #doubleintegrals #calculus3 #mathtvwithprofessorv #mathvideos #youtubemath #calculus #multivariablecalculus #partialintegration
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Komentáře • 16

  • @huan320
    @huan320 Před 2 lety +5

    I am coming to learn calculus again!! You always explain it well. I can watch your video with the calculus textbook!

    • @mathwithprofessorv
      @mathwithprofessorv  Před 2 lety +2

      Yay welcome back! So happy you like my videos and that they are helping you learn calculus. ☺️

  • @ferkahmathiasgyinantwi1106

    You have helped me very much
    Thank you mum!

  • @axr7943
    @axr7943 Před 8 měsíci

    Thank you💞💞💞💞💞

  • @huan320
    @huan320 Před 2 lety +2

    Also, your English is so clear therefore I don’t need to worry about my poor listening! (What’s surprising is the English sub!!) haha

  • @maths2bsquared172
    @maths2bsquared172 Před 10 měsíci

    PARDON ME MAM,IF I MAY ASK,WHICH TEXTBOOK ARE YOU USING FOR THESE PROBLEMS?

  • @val5860
    @val5860 Před rokem

    Why is integral of cos^(2)x equal to 1/3cos^(3)x?

    • @mathwithprofessorv
      @mathwithprofessorv  Před rokem +1

      It’s not! I explained that I did the u-substitution mentally to not have to deal with changing the limits of integration etc. but if you can’t see it, then feel free to go ahead and make the change of variables before you integrate.

  • @user-jb3bp2ms2h
    @user-jb3bp2ms2h Před 4 měsíci

    How did you find the Vertex of x=ysquare -y

    • @mathwithprofessorv
      @mathwithprofessorv  Před 4 měsíci

      Two different ways: y coordinate of vertex is -b/2a or its halfway between the intercepts.

  • @lubnaborzanjy6481
    @lubnaborzanjy6481 Před 4 měsíci

    i love u so much u have no idea maam

  • @khalifa2x21
    @khalifa2x21 Před rokem +1

    Hi, can i solve these problems without drawing ? because i dont know how to :(

    • @mathwithprofessorv
      @mathwithprofessorv  Před rokem +1

      Honestly, graphing should always be the first step so you can properly visualize the integration region and set up your limits of integration. I know graphing can be difficult, if you need to review graphing functions there's lots of videos on my "Precalculus Video Lectures" playlist:
      czcams.com/play/PLl-Np5U6u5E4sv_fgOyo6nsHMWhf3P-6T.html